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States Of Matter

Question
CBSEENCH11005926

Calculate the volume occupied by 8.8 g of CO2 at 31·1°C and 1 bar pressure. R = 0.083 bar LK–1 mol–1).

Solution

Here mass of CO2 = 44 g mol-1

Number space of space moles space left parenthesis straight n right parenthesis space equals space fraction numerator Amount space of space CO subscript 2 over denominator Molar space mass end fraction
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space fraction numerator 8.8 over denominator 44 end fraction space equals space 0.2
straight P space equals space 1 space bar comma space space space straight T space equals space 273 plus 31.1 space space equals space 304.1 space straight K
Applying space ideal space gas space equation comma
space space space space space space PV space equals space nRT
or space space space space space straight V space equals space nRT over straight P
Substituting values, we have,
 
  straight V space equals space fraction numerator 0.2 space mol space cross times space 0.083 space bar space LK to the power of negative 1 end exponent space cross times space 304.1 straight K over denominator 1 space bar end fraction
space space equals 5.05 space straight L