Question #215414

What is the volume of 23.017g of butane gas (C4H10), at 26.7°C and 121.9 kPa? Round your answer to the nearest thousandth.  


1
Expert's answer
2021-07-09T05:15:29-0400

MM(C4H10) = 58.12 g/mol

n(C4H10) =2MM=23.01758.12=0.396  mol= \frac{2}{MM}= \frac{23.017}{58.12}=0.396 \;mol

Ideal gas law

pV=nRTV=nRTpp=121.9  kPaT=26.7+273.15=299.85  KR=8.314  kPaL/KmolV=0.396×8.314×299.85121.9=8.098  LpV=nRT \\ V= \frac{nRT}{p} \\ p= 121.9 \;kPa \\ T= 26.7 + 273.15 = 299.85 \;K \\ R= 8.314 \;kPa \cdot L/K \cdot mol \\ V = \frac{0.396 \times 8.314 \times 299.85}{121.9}=8.098 \;L

Answer: 8.098 L


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