Embibe Experts Solutions for Chapter: Thermodynamics, Exercise 8: Exercise (Analytical Questions)

A gas mixture contains $1 \mathrm{g} {\mathrm{H}}_2$ and $1 \mathrm{g}$ $\mathrm{He}.$ If the temperature of gas mixture is increased from $0 °\mathrm{C}$ to $100 °\mathrm{C}$ at isobaric process then find given heat of gas mixture: ${\gamma }_{\mathrm{He}}=\frac{5}{3}; {\gamma }_{{\mathrm{H}}_2}=\frac{7}{5}; R=2 \mathrm{cal} {\mathrm{mol}}^{-1} {\mathrm{K}}^{-1}$

An ideal gas is taken through the cycle $A\to B\to C\to A,$ as shown in the figure. If the net heat supplied to the gas in the cycle is $5 \mathrm{J}$, the work done by the gas in the process $C\to A$ is

One mole of a monatomic ideal gas is taken through a cycle $ABCDA$ as shown in the $P-V$ diagram. Column-II gives the characteristics involved in the cycle. Match them with each of the processes given in Column-I.

Three processes form a thermodynamic cycle as shown on $P-V$ diagram for an ideal gas. Process $1\to 2$ takes place at constant temperature ($300 \mathrm{K}$), Process $2\to 3$ takes place at constant volume, During this process $40 \mathrm{J}$ of heat leaves the system. Process $3\to 1$ is adiabatic and temperature $T_2,\text{ is} 275 \mathrm{K}$. Work done by the gas during the process $3\to 1$ is

The molar specific heat under constant pressure of oxygen is $C_p=7.03 \mathrm{cal} \mathrm{mol} {\mathrm{K}}^{-1}$. The quantity of heat required to raise the temperature from $10°\mathrm{C} \text{to }20°\mathrm{C} \text{of} 5$ moles of oxygen under constant volume will approximately will be 

If the ratio of specific heats of a gas at constant pressure to that at constant volume is $\gamma ,$ the change in internal energy of a gas when the volume changes from $V$ to $2 \mathrm{V}$ at constant pressure $p$ is

The above P-V diagram represents the thermodynamic cycle of an engine, operating with an ideal mono atomic gas. The amount of heat, extracted from the source in a single cycle is: 

The P-V diagram represents the thermodynamic cycle of an engine, operating with an ideal mono atomic gas.