Heat Capacity at Constant Volume

Q. At constant volume, the specific heat of a gas is 0.075 $cal{K}^{-1}{g}^{-1}$ and its molecular weight is 40 $gmo{l}^{-1}$. The atomicity of the gas is:
Given: R = 2 cal $K^{-1}mo{l}^{-1}$

1. Monoatomic
2. Diatomic
3. Triatomic
4. None of the above

Q. A heat engine carries 1 mole of an ideal monoatomic gas around the cycle as shown in the figure, the amount of heat added in the process AB and heat removed in th process CA are:

1. $q_{AB}=450R$ and $q_{CA}=-450$ R
2. $q_{AB}=450R$ and $q_{CA}=-225$ R
3. $q_{AB}=450R$ and $q_{CA}=-375$ R
4. $q_{AB}=375R$ and $q_{CA}=-450$ R

Q. A certain of gas is expanded from (1L, 10atm) to (4L, 5atm) against a constant external pressure of 1atm. If the initial temperature of a gas is 300K, and the heat capacity of the process is 50J/degree celsius. The change during the reaction is: (1L atm= 100J)

1. $\Delta H=15.7KJ$
2. $\Delta H=14.4KJ$
3. $\Delta H=14.7KJ$
4. $\Delta H=15KJ$

Q. For metals, specific heat $\times$ atomic weight $=1.6$ $\times$ $A$. What is the value of $A$?

Q. One mole of an ideal monoatomic gas expanded irreversibly in two-stage expansion.
State 1 ($8.0$ bar, $4.0$ litre, $300K$)
State 2 ($2.0$ bar, $16$ litre, $300K$)
State 3 ($1.0$ bar, $32$ litre, $300K$)
Total heat absorbed by the gas in the process is:

1. $116J$
2. $40J$
3. $4000J$
4. None of these

Q. What is the value of the change in internal energy at 1 atm in the following process?
$H_{2}O(l,323K)\to H_{2}O(g,423K)$
Given : $C_{v,m}(H_{2}O,1)=75.0J{K}^{-1};C_{p,m}(H_{2}O,g)=33.314J{K}^{-1}mo{l}^{-1};\Delta H_{vap}\text{at}373K=40.7kJ/mol$

1. $42.910\text{kJ/mol}$
2. $43.086\text{kJ/mol}$
3. $42.600\text{kJ/mol}$
4. $49.600\text{kJ/mol}$

Q. Pressure-volume (PV) work done by an ideal gaseous system at constant volume is: (where $E$ is internal energy of the system)

1. $zero$
2. $-V\Delta P$
3. $-\Delta P/P$
4. $-\Delta E$

Q. Two moles of an ideal gas is heated at constant pressure of one atmosphere from ${27}^{o}Cto{127}^{o}C.$ If $C_{v,m}=20+{10}^{-2}TJ{K}^{-1}mo{l}^{-1},$ then $q$ and $△U$ for the process are respectively:

1. 6362.8 J, 4700 J
2. 3037.2 J, 4700 J
3. 7062.8, 5400 J
4. 3181.4 J, 2350 J