1
JEE Main 2022 (Online) 26th July Morning Shift
Numerical
+4
-1

$$2.4 \mathrm{~g}$$ coal is burnt in a bomb calorimeter in excess of oxygen at $$298 \mathrm{~K}$$ and $$1 \mathrm{~atm}$$ pressure. The temperature of the calorimeter rises from $$298 \mathrm{~K}$$ to $$300 \mathrm{~K}$$. The enthalpy change during the combustion of coal is $$-x \mathrm{~kJ} \mathrm{~mol}^{-1}$$. The value of $$x$$ is ___________. (Nearest Integer)

(Given : Heat capacity of bomb calorimeter $$20.0 \mathrm{~kJ} \mathrm{~K}^{-1}$$. Assume coal to be pure carbon)

2
JEE Main 2022 (Online) 25th July Evening Shift
Numerical
+4
-1

While performing a thermodynamics experiment, a student made the following observations.

HCl + NaOH $$\to$$ NaCl + H2O $$\Delta$$H = $$-$$57.3 kJ mol$$-$$1

CH3COOH + NaOH $$\to$$ CH3COONa + H2O $$\Delta$$H = $$-$$55.3 kJ mol$$-$$1

The enthalpy of ionization of CH3COOH as calculated by the student is _____________ kJ mol$$-$$1. (nearest integer)

3
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.)

4
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)

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