Chemistry: Asample 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?

B is the correct answer I hope that this help ...

Asample of nitrogen gas is contaminated with a - id3256632, salterappraisal5757

sofialarrea13

06.01.2022

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,

$r \propto \sqrt{\frac{1}{M} } \\or,\ \frac{r_1}{r_2} =\frac{M_2}{M_1}$

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:

$\frac{r_1}{r_2} =2.65$

substitute the value in the formula,

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

Molar mass of gas A is 4.00 g/mol

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