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

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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