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Question

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


A

RTV

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B

3RT2V

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C

5RT4V

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D

7RT5V

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Solution

The correct option is C

5RT4V


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 =5RTV which is choice (c)


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