An ideal gas absorbs 750 J of heat as it performs 625 J of work.What is the resulting change in temperature if there are 1.3 moles of the gas in the system?

Question

Quizplus · Accepted Answer

According to the first law of thermodynamics, ΔU = Q - W, where ΔU is the change in internal energy of the gas, Q is the heat added to the system, and W is the work done by the gas. For an ideal gas, ΔU = (3/2) n R ΔT, where n is the number of moles and R is the gas constant. Setting these two equations equal to each other and solving for ΔT, we get:

(3/2) n R ΔT = Q - W
ΔT = (2/3nR) (Q - W)

Plugging in the given values, we get:

ΔT = (2/3)(750 J - 625 J)/(1.3 mol)(8.31 J/mol•K) ≈ 7.7 K

Therefore, the answer is (C).

An Ideal Gas Absorbs 750 J of Heat as It