For an ideal gas, a cyclic process ABCA as shown in P–T diagram, when presented in P–V plot, it would be
Each leg of the P–T diagram is identified with a standard process of an ideal gas (PV = nRT), and that process is then drawn on P–V axes: an isobar is horizontal, an isochore is vertical and an isotherm is a rectangular hyperbola that sags towards the origin.
Step 1 — A → B: P is constant while T falls (arrow from A to B). By \(V\propto T\) the volume decreases: a horizontal line traced towards smaller V.
Step 2 — B → C: T is constant while P falls, an isothermal expansion: \(PV=\text{constant}\), a hyperbolic curve going down and to the right, bulging towards the origin.
Step 3 — C → A: the line passes through the origin of the P–T graph, so \(P\propto T\) and V is constant (\(V_C=V_A\)): a vertical line upward from C to A.
The plot that copies the P–T shape has a straight slanted line from C to A, which is not constant volume; the plot with arrows from B to A and a straight line from C to B has the cycle reversed and no isotherm; the plot whose B–C curve bulges away from the origin does not have the shape of PV = constant.
the P–V plot with a horizontal line from A to B, a curve from B to C sagging towards the origin, and a vertical line upward from C to A option is correct.
Similar Questions
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Important Questions from Heat and Thermodynamics
- When $300 \text{ J}$ of heat given to an ideal gas with $C_p = \frac{7}{2} R$ its temperature raises from $20^\circ\text{C}$ to $50^\circ\text{C}$ keeping its volume constant. The mass of the gas is (approximately) _______ g. ($R = 8.314 \text{ J/mol.K}$)
A thermodynamic system is taken through the cyclic process ABC as shown in the figure. The total work done by the system during the cycle $ABC$ is _________ $\text{J}$.
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- In 5 minutes, a body cools from $75^{\circ}C$ to $65^{\circ}C$ at room temperature of $25^{\circ}C$. The temperature of body at the end of next 5 minutes is __________ $^{\circ}C$.
- The area of cross-section of a railway track is $0.01 \text{ m}^2$. The temperature variation is $10^{\circ}C$. Coefficient of linear expansion of material of track is $10^{-5}/^{\circ}C$. The energy stored per meter in the track is __________ J/m.<br>(Young's modulus of material of track is $10^{11} \text{ Nm}^{-2}$)
