Irreversible Adiabatic Expansion And Compression

Q. In an adiabatic process, no transfer of heat takes place between system and surroundings. Choose the correct option for free expansion of an ideal gas under adiabatic condition from the following.

1. $△q=0,△T\ne 0,w=0$
2. $△q\ne 0,△T=0,w=0$
3. $△q=0,△T=0,w=0$
4. $△q=0,△T<0,w\ne 0$

Q. If a gas expands irreversibly from 5 L to 10 L against a pressure of 3 atm, then work done will be nearly:

1. -15 J
2. +15 J
3. -1520 J
4. +1520 J

Q. 20 litres of a monoatomic ideal gas at $0^{o}C$ and 20 $atm$ pressure is suddenly exposed to 1 $atm$ pressure and the gas expands adiabatically against this constant pressure to maximum possible volume. The final temperature and volume of the gas respectively are

1. T = 169 K, V = 247.5 L
2. T = 165 K, V = 247.5 L
3. T = 169 K, V = 257.5 L
4. none of these

Q. An ideal gas in thermally insulated vessel at internal pressure $=p_1$, volume $=V_1$ and absolute temperature $=T_1$ expands irreversibly against zero external pressure, as shown in the diagram.
The final internal pressure, volume and absolute temperature of the gas are $p_2,V_{2}and{T}_2$ respectively.
For this expansion

1. q = 0
2. $T_2=T_1$
3. $p_2{V}_2=p_1{V}_1$
4. $p_2{V}_2^{\gamma }=p_1{V}_1^{\gamma }$

Q. For an adiabatic, irreversible, free expansion which of the following is/are true

1. $\Delta H=0$
2. $\Delta T=0$
3. $\Delta U=0$
4. $\Delta P_{\mathrm{int}}=0$