Question

# An enclosure of volume V contains a mixture of 8 g of oxygen, 14 g of nitrogen and 22 g of carbon- dioxide at absolute temperature T. The pressure of the mixture of gases is (R is universal gas constant)

A

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B

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C

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D

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Solution

## The correct option is C The pressure exerted by a gas is given by P = nRTV = massmolecular weight × RTV Pressure exerted by oxygen P1 = 832RTV = 14RTV Pressure exerted by oxygen P2 = 1428RTV = 12RTV Pressure exerted by carbon dioxide P3 = 2244RTV = 12RTV From Dalton's law of partial pressures, the total pressure exerted by the mixture is given by P = P1 + P2 + P3 =14RTV +12RTV + 12RTV = 5RT4V, which is choice (c)

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