GATE CY 2019 Paper 1 — page 20

Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.

Consider the following equilibrium

At 298 K, the standard molar Gibbs energies of formation, ΔfG°, of SO₂(g) and SO₃(g) are −300 and −371 kJ mol⁻¹, respectively. The value of the equilibrium constant, Kₚ, at this temperature is ______ × 10¹⁰. (Round off to the nearest integer)

(Gas constant R = 8.31 J mol⁻¹ K⁻¹)

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Consider the electrochemical cell

M(s)|M₂(s)|M₂(aq)|M(s)

where ‘M’ is a metal. At 298 K, the standard reduction potentials are E°M²⁺(aq)/M(s) = −0.12 V, E°M₂(s)/M(s) = 0.36 V and the temperature coefficient is (∂E°cell/∂T)ₚ = 1.5 × 10⁻⁴ V K⁻¹. At this temperature the standard enthalpy change for the overall cell reaction, ΔrH°, is ______ kJ mol⁻¹. (Round off to two decimal places)

(Faraday constant F = 96500 C mol⁻¹)

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The normal boiling point of a compound (X) is 350 K (heat of vaporization, ΔvapH = 30 kJ mol⁻¹). The pressure required to boil ‘X’ at 300 K is ______ Torr. (Round off to two decimal places)

(Ignore the temperature variation of ΔvapH; Gas constant R = 8.31 J mol⁻¹ K⁻¹ and 1 atm = 760 Torr)

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2019 · Paper 1

Question 48

Question 49

Question 50