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A sample of nitrogen gas is contaminated with a gas (gas A) of unknown molar mass. The partial pressure of each gas is known to be 200 torr at 25°C. The gases are allowed to effuse through a pinhole, and it is found that gas A escapes 2.65 times the rate of nitrogen gas. What is the molar mass of gas A?

Answer :

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.r(A)/r(N2) = 3 = sqrt(28/x) 

so, x = 28/9 = 3.1 approx. 

The gas can be H2 (mass = 2), D2 (Mass = 4) or He (Mass =4)

Answer:

Molar mass of gas A is 4.00 g/mol

Explanation:

Rate of effusion (r) is inversely proportional to molecular mass of the gas (M).

Therefore,

[tex]r \propto \sqrt{\frac{1}{M} } \\or,\ \frac{r_1}{r_2} =\frac{M_2}{M_1}[/tex]

r1 = Rate of effusion of gas A

r2 = Rate of effusion of nitrogen gas

M1 = Molecular formula of gas A

M2 = Molecular formula of nitrogen gas = 28 g/mol

Given:

[tex]\frac{r_1}{r_2} =2.65[/tex]

substitute the value in the formula,

[tex]2.65=\sqrt{\frac{28}{M_1}} \\(2.65)^2=\frac{28}{M_1} \\M_1=\frac{28}{7.0025} =3.998 \approx 4.00\ g/mol[/tex]

Molar mass of gas A is 4.00 g/mol

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