1.50 moles of an ideal monatomic gas are initially at a temperature of 317 K. If the gas gains 2730 J of heat and performs 780 J of work, what is its final temperature?
A) 359 K
B) 421 K
C) 526 K
D) 687 K
E) 756 K

Question

Quizplus · Accepted Answer

Using the first law of thermodynamics, ΔU = Q - W, where ΔU is the change in internal energy, Q is the heat added, and W is the work done by the gas. For a monatomic ideal gas, ΔU = (3/2)nRΔT. Solving for ΔT, we find the final temperature to be 421 K.

150 Moles of an Ideal Monatomic Gas Are Initially at a Temperature