A Rigid Cubic Box $15 \mathrm{~cm}$ On a Side, Is Filled with Nitrogen Gas

A rigid cubic box, $15 \mathrm{~cm}$ on a side, is filled with nitrogen gas $\left(\mathrm{N}_{2}\right)$ at standard temperature and pressure $(0$ ${ }^{\circ} \mathrm{C}$ and $1 \mathrm{~atm}$ ) . The temperature of the box is later raised to $25^{\circ} \mathrm{C}$ . What is the heat input required to perform this act?

A) $157 \mathrm{~J}$
B) $31.4 \mathrm{~J}$
C) $52.3 \mathrm{~J}$
D) $78.2 \mathrm{~J}$
E) $94.1 \mathrm{~J}$
F) $47.1 \mathrm{~J}$