2.2 g of nitrous oxide (N₂O) 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 N₂O is 100 J K^$$-$$1 mol^$$-$$1)

Elevation in boiling point for 1.5 molal solution of glucose in water is 4 K. The depression in freezing point for 4.5 molal solution of glucose in water is 4 K. The ratio of molal elevation constant to molal depression constant (K_b/K_f) is _________.

The cell potential for the given cell at 298 K

Pt| H₂ (g, 1 bar) | H⁺ (aq) || Cu²⁺ (aq) | Cu(s)

is 0.31 V. The pH of the acidic solution is found to be 3, whereas the concentration of Cu²⁺ is 10^$$-$$x M. The value of x is ___________.

(Given : $$E_{C{u^{2 + }}/Cu}^\Theta $$ = 0.34 V and $${{2.303\,RT} \over F}$$ = 0.06 V)

The equation

k = (6.5 $$\times$$ 10¹²s^$$-$$1)e^{$$-$$26000K/T}

is followed for the decomposition of compound A. The activation energy for the reaction is ________ kJ mol^$$-$$1. [nearest integer]

(Given : R = 8.314 J K^$$-$$1 mol^$$-$$1)