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JEE Main 2022 · 24 Jun · Shift 2, Chemistry question 81

At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ______ g mol−1^{-1}. (nearest integer) Assume that the behaviour of gases as ideal.

(Given: The molar mass of hydrogen (H2\mathrm{H_2}) gas is 2.0 g mol−1^{-1}.)

Answer and worked solution

Official answer: 45

Same P and V. nTnT is the same for both gases: 3M(300)=0.22(200)=20\dfrac3M(300)=\dfrac{0.2}2(200)=20.

Molar mass. M=90020=45M=\dfrac{900}{20}=45 g mol−1^{-1}.

Answer: 45

Topics:Ideal gas equation
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