First Law of Thermodynamics: an Ideal Gas with γ =

Multiple Choice

First law of thermodynamics: An ideal gas with γ = 1.30 occupies 7.0 L at 300 K and 200 kPa pressure. It is compressed adiabatically to 1/7 of its original volume, then cooled at constant volume to 300 K, and finally allowed to expand isothermally to 7.0 L. How much work does the gas do during this process? The ideal gas constant is R = 8.314 J/mol ∙ K = 0.0821 L ∙ atm/mol ∙ K.

A) -980 J
B) 6400 J
C) -270,000 J
D) -6400 J
E) 980 J