Relation between Cp and Cv

Q.

Explain why Cp is greater than Cv.

Q. The value of $\gamma$ on monoatomic, diatomic and triatomic gases is ___, ___ and ___ respectively.

1. 1.66, 1.40, 1.33
2. 1.33, 1.40, 1.66
3. 2, 1.66, 1.5
4. None of these

Q. $C_p$ is always greater than $C_v$.

1. True
2. False

Q.

A real gas most closely approaches the behaviour of an ideal gas at

1. 1 atm and 273 K

2. 0.5 atm and 500 K

3. 15 atm and 200 K

4. 15 atm and 500 K

Q. To raise the temperature of $1$ mole of a diatomic gas by $1{}^{\circ }C$ at constant pressure, the required amount of heat is $120cal.$
The amount of heat which goes as the internal energy is almost equal to:

1. $82.5cal$
2. $80.2cal$
3. $85.7cal$
4. $58.8cal$

Q. The thermal dissociation equilibrium of $CaC{O}_3\left(s\right)$ is studied under different conditions
$CaC{O}_3\left(s\right)\rightleftharpoons CaO\left(s\right)+C{O}_2\left(g\right)$
For this equilibrium, the correct statement(s) is/are :

1. $\Delta H$ is dependent on $T$
2. $K$ is independent of the initial amount of $CaC{O}_3$
3. $K$ is dependent on the pressure of $C{O}_2$, at a given $T$
4. $\Delta H$ is independent of catalyst, if any

Q.

4HCl (g) + O₂ (g) ⇌ 2H₂O (g) + 2Cl₂ (g) ΔH° = -114 kJ

What shifts the equilibrium to the left?

1. removing steam

2. increasing the total gas pressure

3. decreasing volume of the container

4. raising the temperature

Q. For hydrogen gas, $C_p-C_v$ = a and for nitrogen gas $C_p-C_v$ = b, then the relation between a and b is:
(where $C_p$ and $C_v$ are specific heats defined per gram)

1. $a=16b$
2. $b=16a$
3. $a=b$
4. $a=14b$

Q. The value of $\gamma$ on monoatomic, diatomic and triatomic gases is ___, ___ and ___ respectively.

1. 1.66, 1.40, 1.33
2. 1.33, 1.40, 1.66
3. 2, 1.66, 1.5
4. None of these