hard · MCAT chem-phys
One mole of an ideal monatomic gas begins at pressure P_1, volume V_1, and temperature T_1 = 300 K. It is first compressed isothermally to V_1/2, then heated at that constant volume until its pressure has doubled again (reaching 4P_1 overall).
What is the total work done ON the gas over both steps, and how does the final temperature compare to T_1?
- Work done on the gas is RT_1ln 2; final temp. is 600 K
- Work on gas = 2RT_1ln 2; final temperature is 600 K
- Work on gas = RT_1ln 2; final temperature is 300 K
- Work on gas = (3)/(2)RT_1ln 2; final temp. is 1200 K
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