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States Of Matter

Question
CBSEENCH11005943
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A gaseous mixture containing 12g of oxygen and 52 g of nitrogen were enclosed in a vessel of 10L capacity at 27°C. Calculate:
(i) Partial pressure of each gas
(ii) Total pressure of the gaseous mixture.

Solution

Weight of oxygen  = 12 g
Molar mass of oxygen = 32g mol-1
space space therefore space space Number space of space moles space of space oxygen space equals space 12 over 32 space equals space 0.375 space Weight space of space nitrogen space space equals space 52 Molar space mass space of space nitrogen space equals space 28 space straight g space mol to the power of negative 1 end exponent therefore space space space Number space of space moles space equals space 52 over 28 space equals space 1.857
(a) Partial pressure of oxygen gas:
According to general gas equation,
                      PV = nRT
H e r e space straight P space equals space straight P subscript straight O subscript 2 end subscript space space colon space space space space straight V space equals space 10 space straight L space space space space space space straight T space equals space 273 plus 27 space equals space 300 space straight K
Substituting the value.
 straight P subscript straight O subscript 2 end subscript space cross times space 10 space equals space 0.375 space cross times space 0.0821 space cross times space 300 space space space space space therefore space space space straight P subscript straight O subscript 2 end subscript space equals space fraction numerator 0.375 space cross times space 0.0821 space cross times space 300 over denominator 10 end fraction space equals space 0.92 space bar
b) The partial pressure of nitrogen gas: According to the general gas equation.
                   PV = nRT
  straight i. straight e. space space space straight P subscript straight N subscript 2 end subscript space cross times space 10 space equals space 1.857 space cross times space 0.0821 space cross times space 300 therefore space space space straight P subscript straight N subscript 2 end subscript space equals space fraction numerator 1.857 space cross times space 0.0821 space cross times space 300 over denominator 10 end fraction space equals space 4.57 space bar
(c) Total pressure of the gaseous mixture : According to Dalton’s law of partial pressure,
straight P space equals space straight P subscript straight O subscript 2 end subscript space plus space straight P subscript straight N subscript 2 end subscript space space space equals space 0.92 plus 4.57 space equals space 5.49 space bar

 

Some More Questions From States of Matter Chapter

What is absolute temperature?

What is the absolute zero temperature?

Can absolute zero temperature be attained for a gas?

How pressure of a given sample of gas is related to absolute temperature at constant volume?

How is the pressure of a gas related to the number of molecules of the gas at constant temperature and volume?

What is standard (or normal) temperature and pressure (STP)?

What does SATP stand for? Define it.

What is the value of molar volume at STP?

What is standard molar volume?

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