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Molar mass of a gas from ideal gas data

This type of question, asked 4 times: 14 Jun 2022, 26 Jun 2022, 28 Jun 2022, 29 Jun 2022. All 4 questions below, oldest first.

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  1. Question 1

    14 Jun 2022

    141
    At 300 K300\text{ }K, a sample of 3.0 g3.0\text{ }g of gas A occupies the same volume as 0.2 g0.2\text{ }g of hydrogen at 200 K200\text{ }K at the same pressure. The molar mass of gas AA is 000‾ g mol−1\underline{\phantom{000}}\ g\ mol^{-1} (nearest integer). Assume ideal behaviour of the gases. (Given: The molar mass of hydrogen (H2)\left( H_{2} \right) gas is 2.0 g mol−12.0\text{ }g\text{ }mol^{-1})

  2. Question 2

    26 Jun 2022

    32
    An evacuated glass vessel weighs 40.0 g40.0\text{ }g when empty, 135.0 g135.0\text{ }g when filled with a liquid of density 0.95 g mL−10.95\text{ }g{\text{ }mL}^{- 1} and 40.5 g40.5\text{ }g when filled with an ideal gas at 0.82 atm0.82\text{ }atm at 250 K250\text{ }K. The molar mass of the gas in gmol−1gmol^{- 1} is: (Given: R=0.082 L atm K−1 mol−1R = 0.082\text{ }L\text{ }atm{\text{ }K}^{- 1}{\text{ }mol}^{- 1} )

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  3. Question 3

    28 Jun 2022

    141
     100 g\ 100\text{ }g of an ideal gas is kept in a cylinder of 416 L416\text{ }L volume at 27∘C27^{\circ}C under 1.5 bar pressure. The molar mass of the gas is gmol−1gmol^{- 1}. (Nearest integer) (Given: R=0.083 L bar K−1 mol−1R = 0.083\text{ }L\text{ }bar\text{ }K^{- 1}\text{ }mol^{- 1})

  4. Question 4

    29 Jun 2022

    51
    Geraniol, a volatile organic compound, is a component of rose oil. The density of the vapour is 0.46 gL−10.46\text{ }gL^{-1} at 257∘C257^{\circ}C and 100 mmHg100\text{ }mmHg. The molar mass of geraniol is ______ (Nearest Integer) [Given R=0.082 L atm K−1 mol−1R = 0.082\text{ }L\text{ }atm\text{ }K^{-1}\text{ }mol^{-1}]