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  • 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. (nearest integer) A

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. (nearest integer) Assume that the behaviour of gases as ideal.

(Given: The molar mass of hydrogen (H2) gas is 2.0 g mol-1.)

Option: 1

45


Option: 2

-------


Option: 3

-------


Option: 4

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Answers (1)

best_answer

Let molar mass of \mathrm{A= M_{A}}

Given, \mathrm{A\; and\; H_{2}} occupy same volume at the same pressure.

\mathrm{V_{A}=V_{H_2}

So, from the ideal gas equation, we have 

\mathrm{\frac{n_{A}R T_{1}}{P}=\frac{n_{H_2} R T_{2}}{P}}

\begin{aligned} &\mathrm{\Rightarrow 300 \times n_{A}=n_{H_2} \times 200} \\ &\mathrm{\Rightarrow 300 \times \frac{3.0 \mathrm{~g}}{M_ A}=\frac{0.2 \mathrm{~g}}{2.0 \mathrm{~g}/mol} \times 200} \end{aligned}

\Rightarrow\mathrm{M _{ A }=30 \times \frac{3}{2}\ g / mol}

\Rightarrow\mathrm{M _{ A }=45\ g / mol}

Hence, the answer is 45

Posted by

Deependra Verma

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