Thermodynamic Processes

Q.

At 27${}^{\circ }$ C, the ratio of rms velocities of ozone to oxygen is

1. $\sqrt{\frac{3}{5}}$

2. $\sqrt{\frac{4}{3}}$

3. $\sqrt{\frac{2}{3}}$

4. 0.25

Q. What is the work which could be obtained from an isothermal reversible expansion of 1 mol of $C{l}_2$ from $1d{m}^3$ to $50d{m}^3$ at 273 K using ideal gas behaviour.

1. $-8.88kJmo{l}^{-1}$
2. $8.88kJmo{l}^{-1}$
3. $-88.8kJmo{l}^{-1}$
4. $88.8kJmo{l}^{-1}$

Q. In which of the following processes does the entropy decrease?

1. Conversion of oxygen to ozone
2. Conversion of dry ice to $C{O}_2\left(g\right)$
3. Thermal decomposition of sodium bicarbonate
4. Desorption of $H_2\left(g\right)$ from nickel surface

Q.

Match the thermodynamic processes given below:

$\begin{array}{cc}\text{Column I}& \text{Column II}\\ \text{A. Freezing of water at 273K and 1 atm}& \text{p. q=0}\\ \text{B. Expansion of 1 mole of an ideal gas into a vacuum under isolated conditions}& \text{q. W=0}\\ \text{C. Mixing of equal volumes of two ideal gases at constant temperature and pressure in an isolated container}& \text{r. ΔSsys<0}\\ \text{D. Reversible heating of H2(g) at 1 atm from 300 K to 600K, followed by reversible cooling to 300K at 1 atm}& \text{s. ΔU=0}\\ & \text{t. ΔG=0}\end{array}$

1. $\left(A\right)\to r,t;\left(B\right)\to q,s,t;\left(C\right)\to p,q,s;\left(D\right)\to p,q,s$

2. $\left(A\right)\to r,t;\left(B\right)\to p,q,s;\left(C\right)\to p,q,s;\left(D\right)\to q,s,t$

3. $\left(A\right);\to q,s,t\left(B\right)\to p,q,s;\left(C\right)\to p,q,s;\left(D\right)\to r,t$

4. $\left(A\right)\to r,t;\left(B\right)\to p,q,s;\left(C\right)\to p,q,s;\left(D\right)\to q,s,t$

Q. In an adiabatic process

1. $q=0$
2. $\Delta T=0$
3. $\Delta P=0$
4. $\Delta V=0$

Q. A fixed mass 'm' of a gas is subjected to transformation of states from K to L to M to N and back to K as shown in the figure.
The succeeding operations that enable this transformation of states are:

1. heating, cooling, heating, cooling
2. cooling, heating, cooling, heating
3. heating, cooling, cooling, heating
4. cooling, heating, heating, cooling

Q. $160g$ of oxygen gas expand at STP to occupy double of its original volume. The work during the process is:
($1L.atm=101.3J$)

1. $-4.7kcal$
2. $-2.7kcal$
3. $-6.7kcal$
4. $-8.7kcal$

Q. The value of $PV$ for 5.6 litres of an ideal gas at $\text{NTP}$ is

1. $0.35RT$
2. $0.25RT$
3. $0.30RT$
4. $0.20RT$

Q. A piston filled with 0.04 mol of an ideal gas expands reversibly form 50.0 mL to 375 mL at a constant temperature of ${37.0}^{o}C$. As it does so, it absorbs 208 J of heat. The values of q and w for the process will be:
(R = 8.314 J/mol K) (ln 7.5 = 2.01)

1. q = -208 J, w = -208 J
2. q = -208 J, w = +208 J
3. q = +208 J, w = +208 J
4. q = +208 J, w = -208 J

Q. One mole of an ideal monoatomic gas at temperature T and volume 3 L expands to 6 L against a constant external pressure of 2 atm under adiabatic conditions. Then the final temperature of the gas will be:

1. $T+\frac{30}{2R}$
2. $T-\frac{12}{3R}$
3. $T+\frac{20}{3R}$
4. $\frac{T}{2^{\frac{5}{3}}+1}$

Q. $160g$ of oxygen gas expand at STP to occupy double of its original volume. The work during the process is:
($1L.atm=101.3J$)

1. $-4.7kcal$
2. $-2.7kcal$
3. $-6.7kcal$
4. $-8.7kcal$