The Figure Shows A $p V$ Diagram For $2.9 \mathrm {~g}$ Of Ideal Oxygen Gas

Multiple Choice

The figure shows a $p V$ diagram for $2.9 \mathrm {~g}$ of ideal oxygen gas $\mathrm { O } _ { 2 }$ in a sealed container. The temperature of state 1 is $76 ^ { \circ } \mathrm { C }$ , the atomic mass of the oxygen atom is $16 \mathrm {~g} / \mathrm { mol }$ , and $R = 8.31 \mathrm {~J} / \mathrm { mol }$ -K. What are the temperatures $T _ { 3 }$ and $T _ { 4 }$ ?

A) $260 ^ { \circ } \mathrm { C }$ and $790 ^ { \circ } \mathrm { C }$
B) $- 11 ^ { \circ } \mathrm { C }$ and $510 ^ { \circ } \mathrm { C }$
C) $38 ^ { \circ } \mathrm { C }$ and $110 ^ { \circ } \mathrm { C }$
D) $57 ^ { \circ } \mathrm { C }$ and $170 ^ { \circ } \mathrm { C }$