An Expansion Process on an Ideal Diatomic Ideal Gas Has $p V$

Multiple Choice

An expansion process on an ideal diatomic ideal gas has a linear path between the initial and final coordinates on a $p V$ diagram. The coordinates of the initial state are: the pressure is $300 \mathrm { kPa }$ , the volume is $0.0700 \mathrm {~m} ^ { 3 }$ , and the temperature is $390 \mathrm {~K}$ . The final pressure is $130 \mathrm { kPa }$ and the final temperature is $310 \mathrm {~K}$ . How much work is done by the gas during this process? $( R = 8.31 \mathrm {~J} / \mathrm { mol } \cdot \mathrm { K } )$

A) $19,000 \mathrm {~J}$
B) $13,000 \mathrm {~J}$
C) $6300 \mathrm {~J}$
D) $16,000 \mathrm {~J}$
E) $9400 \mathrm {~J}$