An Ideal Gas Undergoes the Process $a \rightarrow b \rightarrow c \rightarrow a$

Multiple Choice

An ideal gas undergoes the process $a \rightarrow b \rightarrow c \rightarrow a$ shown in the $p V$ diagram. The heat gained by the gas in process $a \rightarrow b$ is $546 \mathrm {~J}$ , while in process $b \rightarrow c$ the gas loses $62.0 \mathrm {~J}$ of heat. In process $a \rightarrow b$ the gas performs $310 \mathrm {~J}$ of work, while in process $c \rightarrow a 223 \mathrm {~J}$ of work is done on the gas. How much heat is gained by the gas in process $c \rightarrow a$ ?

A) $- 236 \mathrm {~J}$
B) $- 62 \mathrm {~J}$
C) $18 \mathrm {~J}$
D) $- 397 \mathrm {~J}$
E) $223 \mathrm {~J}$