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States Of Matter

Question
CBSEENCH11005928
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What will be the pressure exerted (in pascal) by a mixture of 32g of methane and 4·4g of carbon dioxide contained in a 9 dm3 flask at 27°C?

Solution

Number of moles of methane (n1)
                         equals space fraction numerator Mass space of space methane over denominator Molecular space mass end fraction equals space fraction numerator 3.2 space straight g over denominator 16.0 space straight g space mol to the power of negative 1 end exponent end fraction equals space 0.2 space mol
Number of moles of carbon dioxide (n2)
          space equals space fraction numerator Mass space of space carbon space dioxide over denominator Molecular space mass end fraction equals space fraction numerator 4.4 space straight g over denominator 44 straight g space mol to the power of negative 1 end exponent end fraction equals space 0.1 space mol

therefore space space Total space number space of space moles space equals space 0.2 space mol space plus space 0.1 space mol space equals space 0.3 space mol Temperature space left parenthesis straight T right parenthesis space equals space 27 plus 273 space equals space 300 space straight K Using space ideal space gas space equation space PV space equals space nRT pr space space straight P space equals space nRT over straight V space space... left parenthesis 1 right parenthesis Here space straight n space equals space 0.3 space mol comma space space straight R space equals space 0.083 space bar space dm cubed space straight K to the power of negative 1 end exponent space mol to the power of negative 1 end exponent comma straight T space equals space 300 space straight K comma space space space straight V space equals space 9 space dm cubed space space Substituting space the space values space in space eq. space left parenthesis 1 right parenthesis comma space we space have
straight P space equals space fraction numerator 0.3 space mol space cross times space 0.083 space bar space dm cubed space straight K to the power of negative 1 end exponent space mol to the power of minus to the power of 1 space cross times space 300 straight K over denominator 9 space dm cubed end fraction space space space equals fraction numerator 0.3 space cross times space 0.083 space cross times space 300 over denominator 9 end fraction bar space space space equals 0.83 space bar space space equals space 0.83 space cross times 10 to the power of 5 Pa space equals space 8.3 space cross times space 10 to the power of 4 Pa

Some More Questions From States of Matter Chapter

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?

What is the value of gas constant in SI units?

What is meant by aqueous tension?

What is the nature of gas consant R?

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