Question

4. (20 pts.) A monatomic ideal gas of N particles expands quasi-statically from volume $V_1$ to $V_2 = 2V_1$. The initial pressure is given as $p_1$. Assume that $dN = 0$. Where possible, express your answers in terms of $p_1$ and $V_1$. (a) If the expansion is isothermal, calculate the work done by the gas during this expansion. (b) How much heat was absorbed by the gas if the expansion is isobaric? (c) What was the change in entropy of the gas if the expansion is isobaric? Express your answer in terms of $p_1$, $V_1$, and $T_1$. (d) If the expansion is adiabatic, what is the final pressure $p_2$?

          4. (20 pts.) A monatomic ideal gas of N particles expands quasi-statically from volume $V_1$ to
$V_2 = 2V_1$. The initial pressure is given as $p_1$. Assume that $dN = 0$. Where possible, express your
answers in terms of $p_1$ and $V_1$.
(a) If the expansion is isothermal, calculate the work done by the gas during this expansion.
(b) How much heat was absorbed by the gas if the expansion is isobaric?
(c) What was the change in entropy of the gas if the expansion is isobaric? Express your
answer in terms of $p_1$, $V_1$, and $T_1$.
(d) If the expansion is adiabatic, what is the final pressure $p_2$?

4. (20 pts.) A monatomic ideal gas of N particles expands quasi-statically from volume V1 to
V2 = 2V1. The initial pressure is given as p1. Assume that dN = 0. Where possible, express your
answers in terms of p1 and V1.
(a) If the expansion is isothermal, calculate the work done by the gas during this expansion.
(b) How much heat was absorbed by the gas if the expansion is isobaric?
(c) What was the change in entropy of the gas if the expansion is isobaric? Express your
answer in terms of p1, V1, and T1.
(d) If the expansion is adiabatic, what is the final pressure p2?

Added by William A.

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