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JEE Main 2022 · 26 Jun · Shift 1, Chemistry question 62

An evacuated glass vessel weighs 40.0 g when empty, 135.0 g when filled with a liquid of density 0.95 g mL−1^{-1} and 40.5 g when filled with an ideal gas at 0.82 atm at 250 K. The molar mass of the gas in g mol−1^{-1} is :

(Given : R=0.082R=0.082 L atm K−1^{-1} mol−1^{-1})

Choose one option
Answer and worked solution

Official answer: D

Volume of the vessel: 135−400.95=100\dfrac{135-40}{0.95}=100 mL =0.1=0.1 L.

Moles of gas. n=0.82×0.10.082×250=0.004n=\dfrac{0.82\times0.1}{0.082\times250}=0.004.

Molar mass. 0.50.004=125\dfrac{0.5}{0.004}=125 g mol−1^{-1}.

(D)

Topics:Ideal gas equationMole concept
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