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.
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=MM2=58.1223.017=0.396mol
Ideal gas law
pV=nRTV=nRTpp=121.9 kPaT=26.7+273.15=299.85 KR=8.314 kPa⋅L/K⋅molV=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 \;LpV=nRTV=pnRTp=121.9kPaT=26.7+273.15=299.85KR=8.314kPa⋅L/K⋅molV=121.90.396×8.314×299.85=8.098L
Answer: 8.098 L
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