One mole of an ideal gas initially at a temperature of Ti = 7.4°C undergoes an expansion at a constant pressure of 1.00 atm to eight times its original volume.

(a) Calculate the new temperature Tf of the gas.______J

(b) Calculate the work done on the gas during the expansion.________kJ

3 answers

(a)
Ti=273+7.4=280.4 K
Vi/Ti = Vf/Tf
Vi/280.4 =8 Vi/Tf
Tf=8•280.4 = 2243.2 K
b) p•ΔV=νRΔT
ν =1 mol
p•ΔV= RΔT
W = p•ΔV= RΔT=
= 8.31•(2243.2-280.4)=
=1.63•10⁴ J =16.3 kJ
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Good response, just remember to have a negative sign in the work if asking for work done on the gas.