JEE Main 2022 · 29 Jun · Shift 2, Chemistry question 82

2.2 g of nitrous oxide ($\mathrm{N_2O}$) gas is cooled at a constant pressure of 1 atm from 310 K to 270 K causing the compression of the gas from 217.1 mL to 167.75 mL. The change in internal energy of the process, $\Delta U$ is '$-x$' J. The value of '$x$' is ______. [nearest integer]

(Given: atomic mass of N = 14 g mol$^{-1}$ and of O = 16 g mol$^{-1}$. Molar heat capacity of $\mathrm{N_2O}$ is 100 J K$^{-1}$mol$^{-1}$)