The Figure Shows A $p V$ Diagram For $8.3 \mathrm {~g}$ Of Ideal Nitrogen Gas

Multiple Choice

The figure shows a $p V$ diagram for $8.3 \mathrm {~g}$ of ideal nitrogen gas $\mathrm { N } _ { 2 }$ in a sealed container. The temperature of state 1 is $59 ^ { \circ } \mathrm { C }$ , the atomic mass of the nitrogen atom is $14 \mathrm {~g} / \mathrm { mol }$ , and $R = 8.31 \mathrm {~J} / \mathrm { mol }$ - K. What are (a) pressure $p _ { 1 }$ and (b) temperature $T _ { 2 }$ ?

A) (a) $81 \mathrm {~atm}$ , (b) $120 ^ { \circ } \mathrm { C }$
B) (a) 81 atm, (b) $660 ^ { \circ } \mathrm { C }$
C) (a) $14 \mathrm {~atm}$ , (b) $120 ^ { \circ } \mathrm { C }$
D) (a) $14 \mathrm {~atm}$ , (b) $660 ^ { \circ } \mathrm { C }$