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AIIMS2018Chemistry-Thermodynamics

AIIMS 2018 Chemistry Ideal Gas Law MCQ Question

Type: MCQ-numerical-Medium-Class 11

Ideal gas 1 mole expand isothermally reversibly 2 lt. to 4lt and same gas 3 mole expand from 2 lt. to x lt and doing same work, what is ‘x’

A

(8)13(8)^{\frac{1}{3}}

B

(4)23(4)^{\frac{2}{3}}

C

22

D

4 lt4\text{ lt}

Correct Answer

Option A

Detailed Explanation

To calculate the volume of a gas at standard temperature and pressure (STP), the ideal gas law PV=nRTPV = nRT can be used, where PP is pressure, VV is volume, nn is the number of moles, RR is the ideal gas constant, and TT is temperature in Kelvin. For 3 moles of an ideal gas at STP (0°C and 1 atm), the volume can be determined as V=nRT/PV = nRT/P, yielding approximately 67.2 liters. Other options are not applicable as they do not provide relevant equations or constants necessary for the calculation.

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