a cylinder piston initially contains 5x10^-3 m^3 of helium gas, at a pressure of

Question

a cylinder piston initially contains 5x10^-3 m^3 of helium gas, at a pressure of 1atm and witih a temperature of 50 degrees celcius. The gas is heated and allowed to expand at a consant pressure until its volume is 8x10^-3 m^3 ( helium is a monotomic gas)

i) how many moles of helium is contained by the cylinder piston?

ii)how much work is done by the gas on the environment during the expansion?

iii) what is the final temperature of the gas?

iv)how much heat was added during the expansion?(state any assumptions)

v) what has the change in the internal energy of the gas during expansion?(state any assumptions)

Thanks

Explanation / Answer

i)PV=nRT

n=0.1946

ii)W=P*delV=303.975J

iii)Tf=(Vf/Vi)*Ti=(8/5)*(313) =500.8K=227.8K

iv)delU=nCv*delT=0.1946*(1.5R)*(177.8)=431.68J

delU= delQ-delW

delQ=431.68+303.975=735.65J

v)delu=431.68J

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