The area of the square is increasing at a rate of 64 cm²/s when the area of the square is 16 cm².
Let's denote the length of one side of the square as x and the area of the square as A.
We know that the rate of change of each side is 8 cm/s. Therefore, we can write:
dx/dt = 8 cm/s
We need to find the rate of change of the area dA/dt when the area of the square is 16 cm². We can write:
A = x²
Differentiating both sides of the equation with respect to time, we get:
dA/dt = 2x (dx/dt)
Substituting dx/dt = 8 cm/s and A = 16 cm², we get:
dA/dt = 2x (dx/dt) = 2(4 cm) (8 cm/s) = 64 cm²/s.
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In what two ways can the variable (d) be defined when calculating Work?
When calculating work, the variable "d" can be defined in two different ways depending on the context: as displacement or as distance.
1. Displacement: In the context of work, displacement refers to the change in position of an object in a straight line from its initial point to its final point. Displacement takes into account both the magnitude and direction of the movement. When calculating work using displacement, the formula is given as W = F · d · cos(θ), where "d" represents the displacement vector.
2. Distance: Distance, on the other hand, refers to the total length traveled by an object along its path, irrespective of direction. It represents the actual path length covered without considering the starting and ending points. When calculating work using distance, the formula is simplified to W = F · d, where "d" represents the distance traveled.
It's important to note that when the force acting on an object is parallel or anti-parallel to the displacement vector, the work done can be calculated using either displacement or distance since the angle between the force and displacement vectors is 0 or 180 degrees, making cos(θ) equal to 1 or -1. However, when the force and displacement vectors are not aligned, the calculation of work requires the use of displacement and the angle between the force and displacement vectors.
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any two instruments based on Pascal's law
Answer:
Answer: hydraulic press and hydraulic brakes. ... This law is useful in designing instruments like Bramah press ,Hydraulic press , Hydraulic jack etc. It is the principle in the development of hydraulic brakes , that are used in automobiles. It is also known as law of transmission of fluid pressure
The power of a PV panel is rated at the peak solar insolation of 1000 W/m2. The size of a typical 300 W PV panel is about 2.0 m2. (a) What is the efficiency of such PV panels? (b) If you install 10 pieces of 300 W PV panels on your house roof top in Wyoming, how much electrical energy is it produced daily? Assume on average, the peak sun hours in the Wyoming area are 3.2 hours. (c) If 50% of the energy collected by the PV panel is used to heat up the water in your home water heater, it can supply to heat up how many gallons of water from 15 C to 55 C? 1 liter of water weighs 1 kg in mass, 1 gallon = 4.546 liters, 1 kWh = 3.6x106 J
(a) The efficiency of the PV panel can be calculated using the formula:Efficiency = (Power output / Power input) × 100Where,Power output = The power generated by the PV panel (300 W in this case)Power input = The solar insolation (1000 W/m2 in this case) × Area of the panel (2.0 m2 in this case)Efficiency = (300 / (1000 × 2)) × 100= 15%
(b) The total power generated by 10 pieces of 300 W PV panels is given as:Total power = Power of 1 panel × Number of panels= 300 × 10= 3000 WPeak sun hours in Wyoming = 3.2 hours Therefore, the total energy produced daily is given as:Energy produced = Total power × Peak sun hours= 3000 × 3.2= 9600 Wh or 9.6 kWh(c) The energy produced by the PV panel is given as:Energy produced = Power output × Time= 300 × 3.2 × 50/100= 48 kWh= 48,000 Wh= 48,000 / 3.6 × 106 kWh= 0.013 kWh or 13 Wh Weight of 1 gallon of water = 4.546 × 1 = 4.546 kg Mass of water = Volume × Density= 4.546 × 15 = 68.19 kg= 68.19 / 1 = 68.19 liters
Heat required to increase the temperature of 1 liter of water from 15°C to 55°C is given as:Heat = mass × specific heat capacity × temperature rise= 1 × 4.18 × (55 - 15)= 209.2 JHeat required to increase the temperature of 68.19 liters of water from 15°C to 55°C is given as:Heat = 68.19 × 209.2 J= 14,250 J or 0.01425 kWh Energy produced by the PV panel is 0.013 kWh Therefore, the number of gallons of water that can be heated up is given as:Number of gallons = Energy produced / Heat required= 0.013 / 0.01425= 0.91 gallons Therefore, the PV panel can supply to heat up 0.91 gallons of water from 15°C to 55°C.
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What is the velocity of a ball that is thrown in the air 16 meters? The ball reaches the ground in 25 seconds
v = d/t
please be quick
Answer:
0.64
Explanation:
v = d/t
v= 16/25
v= 0.64
Suppose you were to choose a new point on the trajectory where the curvature is different from that at point C
Is the magnitude of the acceleration at the new point g the magnitude of the acceleration at point C Explain
The magnitude of the acceleration at a new point on the trajectory where the curvature is different from that at point C would not necessarily be the same as the magnitude of the acceleration at point C.
Acceleration is defined as the rate of change of velocity with respect to time. In the context of curved motion, acceleration can be decomposed into two components: tangential acceleration and centripetal acceleration.
Tangential acceleration is responsible for changes in speed, while centripetal acceleration is responsible for changes in direction.
In a curved trajectory, the curvature determines the rate at which the direction of motion is changing. Points with higher curvature will have a greater rate of change in direction, and thus, a higher magnitude of centripetal acceleration.
Consequently, the magnitude of acceleration at the new point with a different curvature would likely be different from that at point C.
It's important to note that the gravitational acceleration (represented by g) is a constant acceleration due to gravity and is not directly related to the curvature of the trajectory.
Therefore, the magnitude of the gravitational acceleration would not necessarily be equal to the magnitude of the acceleration at point C or any other point on the trajectory with a different curvature.
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compare the physical properties of air and gold .
Answer:
Gold is metallic, with a yellow color when in a mass, but when finely divided it may be black, ruby, or purple. It is the most malleable and ductile metal; 1 ounce (28 g) of gold can be beaten out to 300 square feet. It is a soft metal and is usually alloyed to give it more strength.
Formula --
Molecular Weight (lb/m o l) 28.96
Critical Temp. (°F) N/A
Critical Pressure (p s i a) N/A
Boiling Point (°F) -317.8
Melting Point (°F) N/A
Psat 70°F (p s i a) (note 1)
Explanation:
what measure of variation is best for a dot plot
Answer:
Explanation:
line graph
Determine the magnitude of the largest force p that can be applied to the 42-kg cart, without causing one of the wheel reactions, either at a or at b, to be zero.
The magnitude of the largest force p that can be applied to the 42 kg cart without causing one of the wheel reactions to be zero is approximately 13.8 kg·m/s².
The equilibrium circumstances of the 42 kg cart must be considered to find the greatest force p that can be applied without zeroing one of the wheel reactions at point A or point B. Let's find the greatest force p at point C. Maintaining cart balance prevents one wheel reaction from approaching zero. The cart's forces and moments must equal zero.
Considering the forces, we have:
Sum of vertical forces: N - mg = 0, where N is the normal force and mg is the weight of the cart.
N = mg
Now, considering the moments about point A:
Clockwise moment: (mg)(d) + (p)(D) = 0, where d is the distance from point A to the center of gravity of the cart and D is the distance from point A to point C.
Counterclockwise moment: Rb(b) = 0, where Rb is the reaction force at point B and b is the distance from point A to point B.
Since we want to prevent either Ra or Rb from becoming zero, we need to consider the worst-case scenario. In this case, we assume that Ra is at its minimum value and Rb is at its maximum value. This occurs when the cart is on the verge of tipping over.
To prevent tipping, the counterclockwise moment must be greater than or equal to the clockwise moment:
Rb(b) ≥ (mg)(d) + (p)(D)
Simplifying and substituting N = mg, we get:
Rb ≥ mg(b/d) + p(D/d)
To prevent Rb from becoming zero, we need to set the inequality as an equality: Rb = mg(b/d) + p(D/d)
Now, we substitute the values provided in the problem: m = 42 kg, g = 9.8 m/s², b = 0.5 m, d = 1 m, and D = 1.5 m.
Rb = (42 kg)(9.8 m/s²)(0.5 m / 1 m) + p(1.5 m / 1 m)
Simplifying:
Rb = 20.7 kg·m/s² + 1.5p
Since we want to find the maximum value of p, we want Rb to be as large as possible without becoming zero. Therefore, we set Rb equal to zero: 20.7 kg·m/s² + 1.5p = 0
Solving for p: p = -13.8 kg·m/s²
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Complete Question :-
A.) Determine The Magnitude Of The Largest Force P That Can Be Applied To The 42-kg Cart, Without Causing One Of The Wheel Reactions, Either At A Or At B, To Be Zero. B.) What Is The Acceleration Of The Cart? The Center Of Mass Is At G.
I will give brainlyist
PLZ HURRY!!!!!!!
Which of the following statements is true?
Heat can travel through a vacuum.
Heat has shorter wavelengths than visible light.
:)
∫·ω·∫
Answer:
I honestly think both of them are true
Answer:
Heat has shorter wavelengths than visible light.
Explanation:
(I had the same question)
I looked up the first one and it was wrong, and the missing options are incorrect. So It would not be all of the above. So, using process of elimination, "Heat has shorter wavelengths than visible light" is correct.
I PROMISE this is correct
Given the following MATLAB code, which defines the transfer function H(s) of a system and
calculates the impulse response h(t), Ha-gym(' (8+2)/ (8 2+7:8+12)!) hemilaplace (Ha) Adding the line
pzmap(Hs) to the above code gives the system pole-zero plot. True False
The given MATLAB code defines the transfer function H(s) of a system and calculates the impulse response h(t). Adding the line "pzmap(Hs)" to the code will generate the pole-zero plot of the system.
The given MATLAB code defines the transfer function H(s) of a system and calculates the impulse response h(t). However, the line "Ha-gym(' (8+2)/ (8 2+7:8+12)!) hemilaplace (Ha)" seems to be incomplete and unclear. It is not clear what the purpose of this line is or how it relates to the rest of the code.
Adding the line "pzmap(Hs)" to the code would plot the system's pole-zero plot. The function "pzmap()" takes the transfer function H(s) as an input and generates a plot showing the locations of the poles and zeros of the system.
Therefore, the statement "Adding the line pzmap(Hs) to the above code gives the system pole-zero plot" is true.
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Non-ideal behavior for a gas is most likely to be observed under conditions of a) high pressure and low temperature. b) high temperature and high pressure. c) high temperature and low pressure. d) standard temperature and pressure. e) low temperature and low pressure.
Answer:
high temperature and low pressure
Explanation:
Real gases have intermolecular forces of attraction between them hence they can be liquified. However, gases approach ideal behavior at high temperature and low pressure.
According to the kinetic theory of gases, gases molecules move at incredibly high speeds and exhibit no intermolecular interaction because the gas molecules are isolated from each other.
At high temperature and low pressure, gas molecules are found to possess maximum kinetic energy. They move with a very high velocity and have minimal intermolecular interaction between them in accordance with the proposition of the kinetic theory of gases.
A condition that lifts a parcel of air to form cumulus clouds is
Answer
a. differential heating.
b. mountain barriers.
c. a cold front.
d. All of the above.
A condition that lifts a parcel of air to form cumulus clouds is differential heating.
Thus, Differential heating of the land and the water. Water changes temperature more slowly because it has a high specific heat, like the ocean. Land, particularly sandy beaches, has a low specific heat, therefore it warms up faster than water with the same amount of heat.
Our beach towels are blown away by this land-and-water combination, but it is also to blame for more extreme weather like monsoons and thunderstorms and heat.
The typical afternoon thunderstorm might be produced by sea breezes. For instance, the Florida peninsula is bordered by the ocean on both sides. Cool air from the Gulf of Mexico blows inland on the western side as a sea breeze. A sea wind from the Atlantic Ocean causes the same thing to occur on the eastern side and differential heating.
Thus, A condition that lifts a parcel of air to form cumulus clouds is differential heating.
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___________,_________, and ________ are the three regions on the periodic table
Please help I’m suppose to fill in the blanks.
Answer:
metal, metalloid, and non-metals are the 3 regions on the periodic table
Explanation:
Answer:
Halogens, Akali, and noble gases
Explanation:
Identify the charges that are negative. mentum. .
Answer:
Charges B and C are negative
Explanation:
• We are certain of a law of magnetism that states "Field lines move from positive charge to negative charge"
\({}\)
Answer:
B and C are negative.
Explanation:
This is because according to the law of charges in electric field line it says that the lines forming the electric field move from the positive terminal to the negative terminal,hence making B and C be negative as the lines are moving into them.
A man running at 5 M/S increases his velocity to 10 M/S in 2 Seconds. What was his acceleration?
Find the center of mass of the region bounded by y=9-x^2 y=5/2x , and the z-axis. Center of Mass = __?
Note: You can earn partial credit on this problem.
The centre of mass of the region is bounded by y=9-x^2 y=5/2x, and the z-axis is (3.5, 33/8). Formulae used to find the centre of mass are as follows:x bar = (1/M)*∫∫∫x*dV, where M is the total mass of the system y bar = (1/M)*∫∫∫y*dVwhere M is the total mass of the system z bar = (1/M)*∫∫∫z*dV, where M is the total mass of the systemThe region bounded by y=9-x^2 and y=5/2x, and the z-axis is shown in the attached figure.
The two curves intersect at (-3, 15/2) and (3, 15/2). Thus, the total mass of the region is given by M = ∫∫ρ*dA, where ρ = density. We can assume ρ = 1 since no density is given.M = ∫[5/2x, 9-x^2]∫[0, x^2+5/2x]dAy bar = (1/M)*∫∫∫y*dVTherefore,y bar = (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]y*dA= (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]ydA...[1].
The limits of integration in the above equation are from 5/2x to 9-x^2 for x and from 0 to x^2+5/2x for y.To evaluate the above integral, we need to swap the order of integration. Therefore,y bar = (1/M)*∫[0, 3]∫[5/2, (9-y)^0.5]y*dxdy...[2].
The limits of integration in the above equation are from 0 to 3 for y and from 5/2 to (9-y)^0.5 for x.Substituting the values and evaluating the integral, we get y bar = (1/M)*[(9-5/2)^2/2 - (9-(15/2))^2/2]= (1/M)*(25/2)...[3].
Also, the x coordinate of the center of mass is given by,x bar = (1/M)*∫∫∫x*dVTherefore,x bar = (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]x*dA= (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]xdA...[4].
The limits of integration in the above equation are from 5/2x to 9-x^2 for x and from 0 to x^2+5/2x for y.To evaluate the above integral, we need to swap the order of integration. Therefore, x bar = (1/M)*∫[0, 3]∫[5/2, (9-y)^0.5]xy*dxdy...[5].
The limits of integration in the above equation are from 0 to 3 for y and from 5/2 to (9-y)^0.5 for x.
Substituting the values and evaluating the integral, we get x bar = (1/M)*[63/8]= (1/M)*(63/8)...[6]Thus, the centre of mass of the region is bounded by y=9-x^2 y=5/2x, and the z-axis is (3.5, 33/8).
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A certain large wind turbine is able to transform 1,500,000J of mechanical energy into 1,000,000J of electrical energy every second. a. How much thermal energy does this turbine 'waste' each second? b. Calculate the efficiency of this turbine.
a. The amount of thermal energy 'wasted' by the turbine per second = 500,000 J
b. Efficiency of the turbine = 66.7%
What is energy?Energy is the ability to do work.
Energy is essential to sustain the material universe. Energy constantly flows in the universe and is transformed into various forms.
Th various forms of energy are:
mechanical energyelectrical energynuclear energysolar energyheat energysound energyWhen energy is lost in a system, it is usually converted to heat.
a. The amount of thermal energy 'wasted' by the turbine per second = 1,500,000 J - 1,000,000 = 500,000 J
b. Efficiency = (1,000,000/1,500,000) * 100%
Efficiency of the turbine = 66.7%
In conclusion, energy is usually lost in the form of heat or thermal energy during energy transformations.
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How far apart would two identical spheres be, each with a mass of 1000kg with a Force of 400 N between them be?
Answer:
Explanation:
we know that the value of the force of gravitation acting between two bodies is,
F=(GM₁.M₂)/R²............(i)
where F⇒ Gravitational force
G⇒ gravitational constant
and its value is 6.67×10⁻¹¹ m³/kg.sec²
M₁⇒mass of the first object
M₂⇒mass of the second object
R⇒ represents the distance separating the object's center
Now, as per the question,
since both objects are identical, M₁=M₂=1000kg
Gravitational force, F=400N
putting the values in equation (i),
400=(6.67×10⁻¹¹×1000×1000)/R²
so, after doing cross multiplication,
R²=(6.67×10⁻¹¹×1000×1000)/400
R²=(6.67×10⁻⁵)/400
R²=0.0166×10⁻⁵
R=0.407×10⁻³ m
so, the spheres must be separated by a distance 0.407×10⁻³m.
If only one external force acts on a particle, does it necessarily change the particle's (a) kinetic energy?
Yes, if only one external force acts on a particle, it can change the particle's kinetic energy.
The change in kinetic energy depends on the magnitude and direction of the force applied. The main answer is that a single external force can alter the particle's kinetic energy. When a force acts on a particle, it can either increase or decrease its velocity. If the force is applied in the direction of motion, it will increase the particle's kinetic energy. On the other hand, if the force is applied in the opposite direction of motion, it will decrease the particle's kinetic energy.
In summary, the presence of a single external force can indeed lead to a change in the particle's kinetic energy, depending on the direction and magnitude of the force.
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if a car engine has a thermal efficiency of 40% and it does 400 j of work in one cycle, how much energy input does it require each cycle?
By calculating thermal efficiency, the input energy is 10,000 joule.
We need to know about the thermal efficiency to solve this problem. Thermal efficiency is the ratio of work done by the machine to input energy. It can be determined as
η = W / Qinp
where η is thermal efficiency, W is work and Qinp is input energy.
From the question above, we know that:
η = 40%
W = 400 J
By substituting the following parameter, we get
η = W / Qinp
40% = 400 / Qinp
Qinp = 400 x 100/40
Qinp = 10,000 joule
Hence, the input energy of a car engine is 10,000 joule.
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ive done my work, but can someone check it! thanks.
Answer:
Hello, There! All your Answers Are Correct!
Explanation:
Hope this helps you!
If you Need Any Help Just Message Me Under this Answer!
\(xXxAnimexXx\)
instruments used to measure the following quantities Mass weight length time and density of a liquid
Answer:
Mass: Beam balance
Weight: Beam balance
Length: Ruler
Time: Clock
Density of liquid: Hydrometer
what kind of energy is called mechanical energy?
Answer:
can be called kinetic or potential energy
Explanation:
4. A car with a mass of 1000 kg is travelling at an acceleration of 25 m/s2 and hits a wall. What is
the amount of force applied to that wall?"
Answer:
25,000 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
mass = 1000 kg
acceleration = 25 m/s²
force = 1000 × 25 = 25,000
We have the final answer as
25,000 NHope this helps you
A drop of oil of volume 2×10-¹²m³ spreads out on water to make a circular film of diameter 10-³m . find the thickness of the film
Answer:
Explanation:
2×10-¹² = (5-³*5-³* 3.14)*h
h=0.00000001 m
PLEASE HELP ME!!
Question in image.
The fill in the gap answer is given below:
From there, it is pumped to the lungs through two vessels called the pulmonary arteries.
These arteries are an exception to the rule since they carry oxygenated blood to the lungs.
Gas exchange occurs in the lungs at the alveoli.
Blood enters the left atrium of the heart.
Blood must be distributed to all of the body's cells (1). Oxygen first enters the body when inhale (2). Oxygen is carried by red blood cells (3). Deoxygenated blood travels through the vena cava (4) to the right atrium (5) of the heart. It first enters the right ventricle (6), and is pumped to the lungs for gas exchange (7), where oxygen is taken in and carbon dioxide is expelled. From there, it is pumped to the lungs (8) through two vessels called the pulmonary (9) arteries. 10 Oxygenated blood to the Body(11), 12 Gas exchange occurs in the lungs at the Alveoli 13, From the lungs, 14. oxygenated blood travels through the 15. pulmonary veins, and enters the 16. left side of the heart. This is also an exception to the rule as these veins carry 17. oxygenated blood to the heart. 18. Oxygenated blood first enters the 19. left atrium, then moves to the 20. left ventricle, Then it is pumped out through the aorta (21) onto the body (22) and distributed to the cells body (23).
What is blood?Blood is a bodily fluid that circulates through the circulatory system of an organism, carrying oxygen, nutrients, hormones, and waste products to and from the cells. Blood is made up of red and white blood cells, platelets, and plasma. Red blood cells are responsible for carrying oxygen, while white blood cells help the body fight infections and diseases.
Therefore, Platelets play a role in blood clotting, and plasma is the fluid portion of blood that contains proteins and other substances. Blood plays a vital role in maintaining the health and well-being of an organism.
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See transcribed text below
Directions: Summarize how blood travels throughout the body using the following terms
and the sentence frames below. Each word should be used just once.
capillaries blood venacava left oxygen heart upper
eftatrium oxygenated lungs pulmonary right atrium deoxygenated
red blood cells inhale pulmonary right ventricle lungs lower Gas exchange
ventricle oxygenated aorta
1 must be distributed to 2l of the body's cells, Oxygen first
enters the body when | 2 Oxygenis carried by 3,
inthe 4. Deoxygenated blood travels through the inferior and superior
5 Itfirst enters the 6. . and is pumpedto the
T From there, it is pumped to the 8 through two vessels
called the 9. areries. These arteies are an exception to the rule
since they carry 10 bloodtothe
1 2 occurs inthe lungs at the 13,
From the lungs, 14. blood travels through the
15. veins, and enters the 16. side of the heart. This is also
an exception to the rule because these veins carry 17. bloodtothe
18, Oxygenated blood frstenters the 19, then moves to the left
2 Then itis pumped out through the 21 ontothe
2 and 23 body
Describe specifically why a one-time pad is completely unbreakable. What happens if we try and brute-force
something encrypted with a one-time pad?
Encrypt the message "yellowstone" using the key "wolf" using the vignere cipher.
A one-time pad is a type of encryption that is completely unbreakable if it is done correctly. It works by generating a random key that is at least as long as the message being encrypted. The key is then combined with the message using an XOR operation.
This produces a ciphertext that cannot be decrypted without the key. The key is used only once and then discarded, hence the name "one-time pad". A one-time pad is completely unbreakable because there is no pattern to the key that can be used to decrypt the message. Each character in the key is generated randomly and independently of the other characters. Therefore, the key is completely unpredictable. Even if an attacker knows the key length and has access to the ciphertext, they cannot use any techniques to decrypt it.
This is because there is no pattern to the ciphertext that can be used to determine the key.The only way to decrypt a one-time pad is to have the key. If an attacker tries to brute-force the encryption by trying all possible keys, they will generate every possible message that is the same length as the original message. This means that the ciphertext is completely meaningless without the key. It is therefore important to keep the key secret and ensure that it is only used once. ,Message: yellow stone Key: wolf To encrypt the given message using the vigenere cipher, we follow the steps below:Step 1: Write the message and key in a tabular form as shown below. To keep the process organized, we use the letters of the key to label the columns.
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How much work must be done to stop a 925-kg car
traveling at 95 km/h?
A vessel is filled with a gas at a temperature 30c and a pressure of 760mmhg calculate the final pressure if the volume of the gas is double while it's heated at 80c
To solve this problem, we can use the combined gas law, which relates the pressure, volume, and temperature of a gas:
(P1 x V1) / T1 = (P2 x V2) / T2
where P1, V1, and T1 are the initial pressure, volume, and temperature, and P2, V2, and T2 are the final pressure, volume, and temperature, respectively.
First, let's convert the initial temperature of 30°C to Kelvin:
T1 = 30°C + 273.15 = 303.15 K
We can now set up the equation with the initial conditions:
(760 mmHg x V1) / 303.15 K = (P2 x 2V1) / 353.15 K
where V1 is the initial volume of the gas.
Simplifying this equation by multiplying both sides by 303.15 K and dividing by 2V1, we get:
P2 = (760 mmHg x 303.15 K) / (353.15 K) = 653.75 mmHg
Therefore, the final pressure of the gas is 653.75 mmHg when the volume is doubled and the temperature is increased to 80°C.
-------------------------------is the time measuring device in which periodic motion is produced by mechanical winding.
Answer:
Pendulum ClockExplanation:
Explanation ---> Pendulum Clock is a time measuring device which was possible by the discovery of oscillation in which to and fro motion is present.