GATE CY 2021 Question Paper (06-Feb-2021) (Shift 1)

The vapour pressure of toluene (Mol. Wt. = 92) is 0.13 atm at 25°C. If 6 g of a hydrocarbon is dissolved in 92 g of toluene, the vapour pressure drops to 0.12 atm. The molar mass of the hydrocarbon (rounded off to the nearest integer) is _______.

The reaction CO (g) + Cl2 (g) ⇌ COCl2 (g) at 500 °C, with initial pressures of 0.7 bar of CO and 1.0 bar of Cl2, is allowed to reach equilibrium. The partial pressure of COCl2 (g) at equilibrium is 0.15 bar. The equilibrium constant for this reaction at 500 °C (rounded off to two decimal places) is _____________.

The rate constants for the decomposition of a molecule in the presence of oxygen are 0.237 × 10⁻⁴ L mol⁻¹ s ⁻¹ at 0 °C and 2.64 × 10⁻⁴ L mol⁻¹ s ⁻¹ at 25 °C (R = 8.314 J mol⁻¹ K⁻¹ ). The activation energy for this reaction (rounded off to one decimal place) is ___________ kJ mol⁻¹.

2 L of a gas at 1 atm pressure is reversibly heated to reach a final volume of 3.5 L. The absolute value of the work done on the gas (rounded off to the nearest integer) is _______ Joules.

The quantity of the cobalt ore [Co3(AsO4)2∙H2O] required to obtain 1 kg of cobalt (rounded off to two decimal places) is _________ kg. [Atomic Wt. of Co = 59, As = 75, O = 16, H = 1]