Quantity a of an ideal gas is at absolute temperature t, and a second quantity b of the same gas is at absolute temperature 2t. heat is added to each gas, and both gases are allowed to expand isothermally. part a if both gases undergo the same entropy change, is more heat added to gas a or gas b?

Question

Damaris Gilmore

Physics

26 February, 01:44

Quantity a of an ideal gas is at absolute temperature t, and a second quantity b of the same gas is at absolute temperature 2t. heat is added to each gas, and both gases are allowed to expand isothermally. part a if both gases undergo the same entropy change, is more heat added to gas a or gas b?

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Answers (1)

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Felicity Jacobson · Answer 1

Answer: If both gases undergo the same entropy then more heat is added to gas a because the entropy of the gas a is less than the entropy of the gas b.

Explanation:

Entropy is defined as the degree of randomness. When the temperature of the gas increases then the entropy of gas also increases.

In the given problem, Quantity a of an ideal gas is at absolute temperature t, and a second quantity b of the same gas is at absolute temperature 2t.

Heat is added to each gas, and both gases are allowed to expand isothermally. It means that the volume is constant during this process.

If both gases undergo the same entropy then more heat is added to gas a because the entropy of the gas a is less than the entropy of the gas b. If the heat is added then there will be more entropy.