1
JEE Main 2022 (Online) 29th June Evening Shift
Numerical
+4
-1

A box contains 0.90 g of liquid water in equilibrium with water vapour at 27$$^\circ$$C. The equilibrium vapour pressure of water at 27$$^\circ$$C is 32.0 Torr. When the volume of the box is increased, some of the liquid water evaporates to maintain the equilibrium pressure. If all the liquid water evaporates, then the volume of the box must be __________ litre. [nearest integer]

(Given : R = 0.082 L atm K$$-$$1 mol$$-$$1)

(Ignore the volume of the liquid water and assume water vapours behave as an ideal gas.)

2
JEE Main 2022 (Online) 29th June Evening Shift
Numerical
+4
-1

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)

3
JEE Main 2022 (Online) 29th June Morning Shift
Numerical
+4
-1

17.0 g of NH3 completely vapourises at $$-$$33.42$$^\circ$$C and 1 bar pressure and the enthalpy change in the process is 23.4 kJ mol$$-$$1. The enthalpy change for the vapourisation of 85 g of NH3 under the same conditions is _________ kJ.

4
JEE Main 2022 (Online) 28th June Evening Shift
Numerical
+4
-1

For combustion of one mole of magnesium in an open container at 300 K and 1 bar pressure, $$\Delta$$CH$$\Theta$$ = $$-$$601.70 kJ mol$$-$$1, the magnitude of change in internal energy for the reaction is __________ kJ. (Nearest integer)

(Given : R = 8.3 J K$$-$$1 mol$$-$$1)

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