1. Which of the following formulae is wrong

a) \[C_{V}=\frac{R}{\gamma-1}\]

b) \[C_{P}=\frac{\gamma R}{\gamma-1}\]

c) \[C_{P}\diagup C_{V}=\gamma\]

d) \[C_{P}- C_{V}=2R\]

Explanation: This formula is wrong -> \[C_{P}- C_{V}=2R\]

2. For hydrogen gas \[C_{P}- C_{V}=a\] and for oxygen gas \[C_{P}- C_{V}=b\] . So the relation between a and b is given by

a) \[a =16b\]

b) \[b =16a\]

c) \[a =4b\]

d) \[a =b\]

Explanation: \[a =b\]

3. For a gas the difference between the two specific heats is 4150 J/kg K. What is the specific heats at constant volume of gas if the ratio of specific heat
is 1.4

a) 8475 J / kg K

b) 5186 J / kg K

c) 1660 J / kg K

d) 10375 J / kg K

Explanation:

4. The quantity of heat required to raise one mole through one degree Kelvin for a monoatomic gas at constant volume is

a) \[\frac{3}{2}R\]

b) \[\frac{5}{2}R\]

c) \[\frac{7}{2}R\]

d) 4 R

Explanation: The quantity of heat required to raise one mole through one degree Kelvin for a monoatomic gas at constant volume is \[\frac{3}{2}R\]

5. The specific heat relation for ideal gas is

a) \[C_{P}+ C_{V}=R\]

b) \[C_{P}- C_{V}=R\]

c) \[C_{P}\diagup C_{V}=R\]

d) \[C_{V}\diagup C_{P}=R\]

Explanation: The specific heat relation for ideal gas is \[C_{P}- C_{V}=R\]

6. The specific heat of 1 mole of an ideal gas at constant pressure \[\left(C_{P}\right)\] and at constant volume \[\left(C_{V}\right)\] which is correct

a) \[C_{P}\] of hydrogen gas is \[\frac{5}{2}R\]

b) \[C_{V}\] of hydrogen gas is \[\frac{7}{2}R\]

c) \[H_{2}\] has very small values of \[C_{P}\] and \[C_{v}\]

d) \[C_{P} - C_{v}\] = 1.99 cal/mole-K for \[H_{2}\]

Explanation: \[C_{P} - C_{v}\] = 1.99 cal/mole-K for \[H_{2}\]

7. What is the ratio of specific heats of constant pressure and constant volume for \[NH_{3}\]

a) 1.33

b) 1.44

c) 1.28

d) 1.67

Explanation: Ratio of specific heats of constant pressure and constant volume for \[NH_{3}\] is 1.33

8. If two moles of diatomic gas and one mole of mono atomic gas are mixed then the ratio of specific heats is

a) \[\frac{7}{3}\]

b) \[\frac{5}{4}\]

c) \[\frac{19}{13}\]

d) \[\frac{15}{19}\]

Explanation: If two moles of diatomic gas and one mole of mono atomic gas are mixed then the ratio of specific heats is \[\frac{19}{13}\]

9. One mole of ideal monoatomic gas \[\left(\gamma=5\diagup3\right)\] is mixed with one mole of diatomic gas \[\left(\gamma=7\diagup5\right)\] . What is \[\gamma\] for the mixture? \[\gamma\] denotes the ratio of
specific heat at constant pressure, to that at constant volume

a) 3/2

b) 23/15

c) 35/23

d) 4/3

Explanation:

10. A gaseous mixture contains equal number of hydrogen and nitrogen molecules. Specific heat measurements on this mixture at temperatures
below 100 K would indicate that the value of \[\gamma\] (ratio of specific heats) for this mixture is

a) 3/2

b) 4/3

c) 5/3

d) 7/5

Explanation: 5/3