Question #86761
A 23 L container is filled with helium and the pressure is 154 atm and the temperature is 294 K. What volume can be filled in liters when the temperature is 18° C and the atmospheric pressure is 754 torr?
1
Expert's answer
2019-03-25T07:30:54-0400

18C+273.15=291.15K18C+273.15=291.15K

754torr133.322=100525Pa754torr*133.322=100525Pa

154atm101325=1.56107154atm*101325=1.56*10^{7}

n(He)=PVRT=23L1.561078.31J/molK=146860.188moln(He)=\dfrac{PV}{RT}=\dfrac{23L*1.56*10^{7}}{8.31J/mol*K}=146860.188mol

V=nRTP=146860.188mol8.31J/molK291.15K100525Pa=3534.661m3=3534661LV=\dfrac{nRT}{P}=\dfrac{146860.188mol*8.31J/mol*K*291.15K}{100525Pa}=3534.661m^{3}=3534661L



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