Question #138894
Calculate the pressure, in atmospheres, of 2.40 moles helium gas in a 8.00 L container at 18 °C.
1
Expert's answer
2020-10-19T14:20:48-0400

According to the ideal gas law, pV=nRT,pV=nRT, where p is the pressure, V is the volume, n is amount in moles, T is the temperature in Kelvin, and R is a gas constant that equals 0.082057Latmmol1K10.082057 L\cdot{atm\cdot{mol^{-1}\cdot{K^{-1}}}}.

T=18+273.15=291.15KT = 18+273.15=291.15K

Therefore,


p=nRTV=2.40mol×0.082057Latmmol1K1×291.15K8.00L=7.17atmp=\frac{nRT}{V}=\frac{2.40mol\times0.082057 L\cdot{atm\cdot{mol^{-1}\cdot{K^{-1}}}}\times{291.15K}}{8.00L}=7.17atm


Answer: 7.17 atm


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