Thermodynamics (physical chemistry)

Question

An ideal atom is 2 moles of gas at 0 C at 45 dm3. The gas is allowed to expand in an adiabatic, quasi-stationary process until its temperature drops to -50 ° C. What is the pressure in the initial and final states? Determine the extent of the volume change.

Answer 1

You know P_i= nRT/V_i all given (R=8.314, T in Kelvins, and P in Pascals)

Adiabatic Process: You know that PV^γ = const where γ = C_p/C_V or 5/3, 7/5 for monatomic and diatomic gases respectively. It seems to me that you need to know the type of gas.

P_f = P_iV_i^γ/V_f^γ

Substitute into the ideal gas law and solve for V_f , then use ideal gas law to solve for P_f.

P_iV_i^γ/V_f^(γ-1) = nRT solve for V_f ...

If you're give c_v in terms of R, c_p is c_v + R and you know γ'

Good luck!