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Question

Three gases are mixed in a sealed container. The container has 0.3 moles of gas A, 0.4 moles of gas B, and 0.3 moles of gas C. The total pressure of the gases is 660 torr. What is true about the partial pressures of the gases?

A
The partial pressure of gas A is 264 torr
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B
The partial pressure of gas B is 396 torr
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C
The partial pressure of gas C is 220 torr
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D
The partial pressures of gases A and C are each 198 torr
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E
The partial pressure of gas B is 660 torr
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Solution

The correct option is C The partial pressures of gases A and C are each 198 torr
The partial pressures of gases A and C are each 198 torr
Since the number of moles of gas A is equal to the number of moles of gas C, both gases have equal mole fraction and hence equal partial pressure.
The mole fraction is the ratio of number of moles of a gas to total number of moles of all gases. The mole fraction of gas A =0.30.3+0.4+0.3=0.3= the mole fraction of gas C.
The partial pressure of a gas is the product of its mole fraction and total pressure. The partial pressure of gas A =0.3×660=198 torr = the partial pressure of gas C.

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