GATE XL 2018 Paper 1 — page 8

Questions 22–24 of 125. Imported answers require review unless explicitly marked reviewed.

The standard reduction potential (E°) for the conversion of Cr₂O₇²⁻ to Cr³⁺ at 25 °C in an aqueous solution of pH 3.0 is 1.33 V. The concentrations of Cr₂O₇²⁻ and Cr³⁺ are 1.0 × 10⁻⁴ M and 1.0 × 10⁻³ M, respectively. Then the potential of this half-cell reaction is (Given: Faraday constant = 96500 C mol⁻¹, Gas constant R = 8.314 J K⁻¹ mol⁻¹)

Your answerChoose one option.

1.04 V

0.94 V

0.84 V

0.74 V

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The solubility product (Kₛₚ) of Mg(OH)₂ at 25 °C is 5.6 × 10⁻¹¹. Its solubility in water is S × 10⁻² g/L, where the value of S is ______ (up to two decimal places). (Given: Molecular weight of Mg(OH)₂ = 58.3 g mol⁻¹)

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The activation energy (Eₐ) values for two reactions carried out at 25 °C differ by 5.0 kJ mol⁻¹. If the pre-exponential factors (A₁ and A₂) for these two reactions are of the same magnitude, the ratio of rate constants (k₁/k₂) is ______ (up to two decimal places). (Given: Gas constant R = 8.314 J K⁻¹ mol⁻¹)

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2018 · Paper 1

Question 12

Question 13

Question 14