Chemistry
GATE CY purpose:exam-prep PYQs
Build your understanding with focused practice from past exam papers.
Questions 381–390 of 650. Imported answers require independent review unless marked reviewed.
Question 46
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Given the initial weight of 1 mg of radioactive ⁶⁰₂₇Co (half-life = 5.27 years), the amount disintegrated in 1 year (rounded off to two decimal places) is ______ mg.
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The de Broglie wavelength of an argon atom (mass = 40 amu) traveling at a speed of 250 m s⁻¹ (rounded off to one decimal place) is ________ picometers. [N = 6.022 × 10²³; h = 6.626 × 10⁻³⁴ kg m² s⁻¹]
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The molar absorption coefficient of a substance dissolved in cyclohexane is 170 L mol⁻¹ cm⁻¹ at 500 nm. The reduction in intensity of light of the same wavelength that passes through a cell of 1 cm path length containing a 2 mol L⁻¹ solution (rounded off to one decimal place) is _________%.
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The fundamental vibrational frequency of ¹H¹²⁷I is 2309 cm⁻¹. The force constant for this molecule (rounded off to the nearest integer) is _____ N m⁻¹. [N = 6.022 × 10²³, c = 3.0 × 10⁸ m s⁻¹]
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A laser Raman spectrometer operating at 532 nm is used to record the vibrational spectrum of Cl₂ having its fundamental vibration at 560 cm⁻¹. The Stokes line corresponding to this vibration will be observed at ______ cm⁻¹. (Rounded off to the nearest integer)
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The vapor 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 vapor pressure drops to 0.12 atm. The molar mass of the hydrocarbon (rounded off to the nearest integer) is ________.
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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 ______________.
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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
(
J mol⁻¹ K⁻¹).The activation energy for this reaction (rounded off to one decimal place) is ____________ kJ mol⁻¹.
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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.
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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]
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