one mole of a gas with gamma=5/3 is initially at temperature 27 C and occupy volume V The gas is - Physics - Kinetic Theory and Thermodynamics

Question

one mole of a gas with gamma=5/3 is initially at temperature 27 C
and occupy volume V The gas is first expanded at constant pressure
until its volume double Then it undergoes an adiabatic change until
the temperature returns to its initial value Find the work done

Rajnish Kumar · Accepted Answer

Dear student
since when volume is doubled keeping temp constant the temperature
also gets double hence T1=300K and
T2=600K
Total work done =Wconstant
pressure+Wadiabatic = nRx300 +
nR(T1- T2)/(5/3 -1)
W =300R-450R=-150R= -150 x 8 314 = -1247 1 J

Regards

one mole of a gas with gamma=5/3 is initially at temperature 27 C and occupy volume V.The gas is first expanded at constant pressure until its volume double.Then it undergoes an adiabatic change until the temperature returns to its initial value.Find the work done