An ideal monatomic gas containing 10 moles of Helium initially at 0 degree C and

Question

An ideal monatomic gas containing 10 moles of Helium initially at 0 degree C and one atmosphere is allowed to expand to twice its initial volume. If the gas is first allowed to expand at constant pressure to its final volume and then cooled at constant volume to half its initial pressure, find each of the following: (a) the initial volume of the gas, (b) the final pressure of the gas, (c) the final volume of the gas, (d) the final temperature of the gas, (e) the work done by the gas, (f) the heat added to the gas. (g) the change in internal energy of the gas.

Explanation / Answer

a)224 litres

b)0.5 atm

c)448 litres

d)0 degrees celsius or 273 kelvin

e)Wgas=PdV+mCvdT=224+(4*3/2*0.0821*(476-273)=358.4798

f)Q=-Wgas=-358.4798

g)zero

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