An ideal gas of mass $m$ in a state $A$ goes to another state $B$ via three different processes as shown in figure. If $Q_{1}, Q_{2}$ and $Q_{3}$ denote the heat absorbed by the gas along the three paths, then
AIIMS 2018, Medium
Download our app for free and get started
Initial and final states are same in all the process.
Hence, $\Delta U=O$ is same for each case.
$\therefore \Delta Q=\Delta W$
Area enclosed by curve with volume.
$\because(\text { Area })_{1}<(\text { Area })_{2}<(\text { Area })_{3}$
$\therefore Q_{1} < Q_{2} < Q_{3}$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1Two moles of helium gas are taken over the cycle $ABCDA$, as shown in the $P-T$ diagram. The net work done on the gas in the cycle $ABCDA$ is ...... $R$View Solution
- 2A closed container contains a homogeneous mixture of two moles of an ideal monatomic gas $(\gamma=5 / 3)$ and one mole of an ideal diatomic gas $(\gamma=7 / 5)$. Here, $\gamma$ is the ratio of the specific heats at constant pressure and constant volume of an ideal gas. The gas mixture does a work of $66$ Joule when heated at constant pressure. The change in its internal energy is. . . . . . .Joule.View Solution
- 3Graphs below show the entropy versus energy $U$ of two systems $1$ and $2$ at constant volume. The initial energies of the systems are indicated by $U_{1, i}$ and $U_{2, i}$, respectively. Graphs are drawn to the same scale. The systems are then brought into thermal contact with each other. Assume that, at all times the combined energy of the two systems remains constant. Choose the most appropriate option indicating the energies of the two systems and the total entropy after they achieve the equilibrium.View Solution
- 4An ideal gas is taken around the cycle $ABCA$ as shown in the $P-V $ diagram. The net work done by the gas during the cycle is equal toView Solution
- 5View SolutionThe given figure represents two isobaric processes for the same mass of an ideal gas, then
- 6View SolutionSelect the correct statement for work, heat and change in internal energy.
- 7View SolutionWhen an ideal diatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas, is
- 8One mole of an ideal gas goes from an initial state $A$ to final state $B$ via two processes : It first undergoes isothermal expansion from volume $V$ to $3\, V$ and then its volume is reduced from $3\, V$ to $V$ at constant pressure. The correct $P-V$ diagram representing the two processes isView Solution
- 9$N _{2}$ gas is heated from $300\, K$ temperature to $600\, K$ through an isobaric process. Then find the change in entropy of the gas. $( n =1 mole )$ (in $J/K$)View Solution
- 10One mole of a diatomic ideal gas undergoes a cyclic process $ABC$ as shown in figure. The process $BC$ is adiabatic. The temperatures at $A, B$ and $C$ are $400\ K, 800\ K $ and $600\ K$ respectively. Choose the correct statementView Solution
