Question

4 mols of carbon monoxide is compressed from 0.08m³ to 0.0555m³ at 298K. Assume it acts as a perfect gas.

cV,m= 20.17JK^-1mol^-1

Find the initial and final pressure, initial and final temperature, w, q, delta U and delta S for an Isothermic Reversible Expansion.

Answer 1

given n=4 moles, V1 =0.08m3, 1m3= 1000L, 0.08m3= 0.08*1000 L=80 L, T1= 298K, R =0.0821 L.atm/mole.K

from gas law, P= nRT/V= 4*0.0821*298/80 =1.63 atm,

when V= 0.0555 m3, V=0.0555*1000 L =55.5L, T= 298K, n=4, P= nRT/V= 4*0.0821*298/55.5 =1.76 atm

for isothermal compression of an ideal gas, deltaU=0, from 1st law of thermodynamics deltaU= Q+W

W=-Q= nRT*ln(P2/P1)= 4*8.314 J/mole.K* 298*ln(1.76/1.63)= 773 Joul

Q=-773 joules

deltaS= Q/T =-773/298 J/K = -2.59 J/K

4 mols of carbon monoxide is compressed from 0.08m³ to 0.0555m³ at 298K. Assume it acts as a perfect gas.

cV,m= 20.17JK^-1mol^-1

Find the initial and final pressure, initial and final temperature, w, q, delta U and delta S for an Isothermic Reversible Expansion.