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a gas is enclosed in a cylinder fitted with a light frictionless piston and maintained at atmospheric pressure. when 254 kcal of heat is added to the gas, the volume is observed to increase slowly from 12.0 m3 to 16.2 m3. a. Calculate the work done by the gas. b. Calculate the change in internal energy of the gas.

Respuesta :

The work done by the gas for question A will be 4.2 * 10^5 J.

The change in internal energy of the gas for question B is 6.43 * 10^5 J.

What is work (in gas)?

For a gas, it is the product of the pressure P and the volume V during a change of volume. The formula for work done in gas is W (work) = P (pressure) * V (volume)

Now, let's calculate the work done by gas to answer question A.

Work = Pressure * (Volume 2 - Volume 1)

= 1 atm * (16.2 - 12)

= 10^5 Pa * 4.2

= 4.2 * 10^5 J

So the work done by the gas is 4.2 * 10^5 J.

Now, let's find the change in internal energy of the gas.

The heat energy added to the system is

Q = 254kcal

= 254kcal * (4184J / 1 kcal)

= 1.063 * 10^6 J

The change in internal energy of gas is

ΔU = Q (the heat energy added) - W (work done by gas)

= 1.063 * 10^6 J - 4.2*10^5 J

= 6.43 * 10^5 J

Therefore, the change in internal energy of the gas is 6.43 * 10^5 J

Learn more about work (in gas) https://brainly.com/question/29589757

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