Thermodynamics: JEE Mains 2022 June 29 Shift 2

Hard· First law, internal energy, enthalpy· +4 / 0
2.2 g2.2\ \text{g} of nitrous oxide (N2O\mathrm{N_2O}) gas is cooled at a constant pressure of 1 atm1\ \text{atm} from 310 K310\ \text{K} to 270 K270\ \text{K} causing the compression of the gas from 217.1 mL217.1\ \text{mL} to 167.75 mL167.75\ \text{mL}. The change in internal energy of the process, ΔU\Delta U is −x J-x\ \text{J}. The value of xx is ______. [nearest integer] (Given : atomic mass of N =14 g mol−1=14\ \text{g mol}^{-1} and of O =16 g mol−1=16\ \text{g mol}^{-1}. Molar heat capacity of N2O\mathrm{N_2O} is 100 J K−1mol−1100\ \text{J K}^{-1}\text{mol}^{-1})
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