What is the change in entropy when an ideal g | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) When an ideal gas expands into a vacuum,the external pressure $P_{ext} = 0$. Since work done $w = -P_{ext} \Delta V$,the work done is $0$. For an

Vedclass · Accepted Answer

$\Delta S > 0$

Vedclass · Answer

(B) When an ideal gas expands into a vacuum,the external pressure $P_{ext} = 0$. Since work done $w = -P_{ext} \Delta V$,the work done is $0$. For an adiabatic process in a vacuum,$q = 0$. According to the first law of thermodynamics,$\Delta U = q + w = 0$. For an ideal gas,$\Delta U$ depends only on temperature,so $\Delta T = 0$. However,the expansion into a vacuum is an irreversible process. The entropy change for an ideal gas is given by $\Delta S = nR \ln \frac{V_2}{V_1}$. Since $V_2 > V_1$,$\Delta S > 0$.

What is the change in entropy when an ideal gas expands into a vacuum?

Similar Questions

Which of the following equations indicates an increase in entropy?

At $298 \, K$ and $1 \, atm$ pressure,the entropies of $H_2(g)$,$Cl_2(g)$,and $HCl(g)$ are $130.6$,$223$,and $186.7 \, J \, K^{-1} \, mol^{-1}$ respectively. What is the entropy change for the reaction $H_2(g) + Cl_2(g) \rightarrow 2HCl(g)$ in $J \, K^{-1} \, mol^{-1}$?

Which of the following is correct regarding entropy?

Explain entropy and spontaneity.

The enthalpy of fusion of water is $1.435 \ kcal/mol$. The molar entropy change for the melting of ice at $0 \ ^\circ C$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module