Geo-Scientist Prelims 2024 Chemistry Q48: The work involved in a reversible adiabatic expansion of an ideal…

The work involved in a reversible adiabatic expansion of an ideal gas from p_i and V_i to p_f and V_f is given by

1. \(w = \frac{p_f V_f - p_i V_i}{\gamma - 1}\)
2. \(w = -nC_{v,m}T_i\left[1-\left(\frac{p_f}{p_i}\right)^{\frac{R}{C_{p,m}}}\right]\)
3. \(w = \frac{p_f V_f - p_i V_i}{1-\gamma}\)
4. \(w = nC_{p,m}T_i\left[1-\left(\frac{p_f}{p_i}\right)^{\frac{R}{C_{p,m}}}\right]\)

Select the correct answer using the code given below.

1. (a) 1 and 2 only
2. (b) 1, 2 and 3 only
3. (c) 3 and 4 only
4. (d) 1, 2, 3 and 4