At 300K, a sample of 3.0g of gas A occupies the same volume as 0.2g of hydrogen at 200K at the same pressure. The molar mass of gas A is _________g mol-1, (nearest integer) Assume that the behavior of gases as ideal. (Given: The molar mass of hydrogen (H2) gas is 2.0g mol-1.)

PV)H2= (PV)Gas (nRT)H2= (nRT)GasnH2×TH2=nGas×TGas⇒0.22×200=3 (MM)Gas×300⇒ (MM)Gas=45gm/mole

Chemistry NCERT Exemplar Solutions Class 12th Chapter Three States of Matter Ncert Solutions Chemistry Class 11th Chemistry Class 11th

At 300K, a sample of 3.0g of gas A occupies the same volume as 0.2g of hydrogen at 200K at the same pressure. The molar mass of gas A is _________g mol^-1, (nearest integer) Assume that the behavior of gases as ideal. (Given: The molar mass of hydrogen (H₂) gas is 2.0g mol^-1.)

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Answered by

Payal Gupta | Contributor-Level 10

3 months ago

${P V)}_{H_{2}} = {(P V)}_{G a s}$

${(n R T)}_{H_{2}} = {(n R T)}_{G a s}$

$n_{H_{2}} \times T_{H_{2}} = n_{G a s} \times T_{G a s}$

$\Rightarrow \frac{0.2}{2} \times 200 = \frac{3}{{(M M)}_{G a s}} \times 300 \Rightarrow {(M M)}_{G a s} = 45 g m / m o l e$

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