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Question

A vessel is filled with a mixture of oxygen and nitrogen. At what ratio of partial pressures will the mass of gases be identical?


A
P(O2)=0.785P(N2)
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B
P(O2)=8.75P(N2)
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C
P(O2)=11.4P(N2)
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D
P(O2)=0.875P(N2)
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Solution

The correct option is D $$P(O_2) = 0.875P(N_2)$$
As we know,
$$PV= nRT$$
$$\displaystyle PV=\frac{w}{m}RT$$
$$\displaystyle P_{O_2 V}=\frac{w}{32}RT$$                       ...(i)
$$\displaystyle P_{O_2 V}=\frac{w}{28}RT$$                      ...(ii)
$$\displaystyle \frac{P_{O_2}}{P_{N_2}}=\frac{28}{32}$$
$$P_{O_2}=0.875 \:P_{N_2}$$

Chemistry

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