A Gas Expands from an Initial Volume Of $0.040 \mathrm {~m} ^ { 3 }$

Multiple Choice

A gas expands from an initial volume of $0.040 \mathrm {~m} ^ { 3 }$ to a final volume of $0.085 \mathrm {~m} ^ { 3 }$ while its pressure increases linearly with the volume (so that the process follows a straight-line path in a $p V$ diagram) from $110 \mathrm { kPa }$ to $225 \mathrm { kPa }$ . How much work is done by the gas during this expansion?

A) $11 \mathrm {~kJ}$
B) $7.8 \mathrm {~kJ}$
C) $12 \mathrm {~kJ}$
D) $5.2 \mathrm {~kJ}$
E) $7.5 \mathrm {~kJ}$