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Homework type problem posted in wrong forum, so no template

Hello everyone, I'm doing revision for a final exam in Thermodynamics and i found this exercise i can't solve:

A particular material has a latent heat of vaporization Δh, constant along the coexistence curve. One mole of this material exists in two.phase (liquid-vapor) equilibrium in a container of fixed volume V0, at an initial temperature T0 and a pressure P0. The system is heated at constant volume increasing its pressure to 2P0. The vapor phase can be treated as an monoatomic ideal gas, and the molar volume of the liquid can be neglected relativa to that of the gas. Find the initial and final mole fractions of the vapor phase. ( x≡Ng/(Ng+Nl) ).

I started using the Clapeyron equation to find the final temperature (Tf) of the gas (and so the complete system i think). I integrated from T0 to Tf in one side and from P0 to Pf in the other. The only unknown variable was Tf. Then using the ideal gas equation ( vg(molar volume of gas)=NRTf ) and dividing that by N = Ng + Nl I could leave the final mole fraction of the gas as a function of Pf, Tf and final vg, which i don't know.

So, how can i find the value of the final molar volume? This problem is in a book called Herbert Callen - "Thermodynamics and an Introduction to Thermostatistics" 2nd Edition. page 233 problem 9·3-7

Thank you and sorry i don't use formulas, i don't know how to write them here.

A particular material has a latent heat of vaporization Δh, constant along the coexistence curve. One mole of this material exists in two.phase (liquid-vapor) equilibrium in a container of fixed volume V0, at an initial temperature T0 and a pressure P0. The system is heated at constant volume increasing its pressure to 2P0. The vapor phase can be treated as an monoatomic ideal gas, and the molar volume of the liquid can be neglected relativa to that of the gas. Find the initial and final mole fractions of the vapor phase. ( x≡Ng/(Ng+Nl) ).

I started using the Clapeyron equation to find the final temperature (Tf) of the gas (and so the complete system i think). I integrated from T0 to Tf in one side and from P0 to Pf in the other. The only unknown variable was Tf. Then using the ideal gas equation ( vg(molar volume of gas)=NRTf ) and dividing that by N = Ng + Nl I could leave the final mole fraction of the gas as a function of Pf, Tf and final vg, which i don't know.

So, how can i find the value of the final molar volume? This problem is in a book called Herbert Callen - "Thermodynamics and an Introduction to Thermostatistics" 2nd Edition. page 233 problem 9·3-7

Thank you and sorry i don't use formulas, i don't know how to write them here.