Question

In given figure, a fixed mass of an ideal gas undergoes the change represented by XYZX above. Which one of the following sets could describe these of changes?

• A. $XY\to$ isothermal expansion, $YZ\to$ adiabatic compression, $ZX\to$ compression at constant pressure
• B. $XY\to$ adiabatic compression, $YZ\to$ isothermal compression, $ZX\to$ pressure reduction constant volume
• C. $XY\to$ isothermal compression, $YZ\to$ adiabatic compression, $ZX\to$ compression at constant pressure
• D. $XY\to$ adiabatic compression, $YZ\to$ isothermal expansion, $ZX\to$ compression at constant pressure

Answer 1

The correct option is D $XY\to$ adiabatic compression, $YZ\to$ isothermal expansion, $ZX\to$ compression at constant pressure

For an isothermal process:

$PV=constant$

$PdV=-dPV$

$\frac{dP}{dV}=\frac{-P}{V}$

for adiabatic process:

$P{V}^{\gamma }=constant$

$\frac{dP}{dV}=-\gamma \frac{P}{V}$

XY the volume is reduce in curve the it represents the adiabatic compression as its slope is steeper than isothermal graph.

The curve YZ is increasing in volume and graph best represents the isothermal expansion.

XZ is slope line zero to pressure axis with decrease in volume hence It represents the compression at constant pressure.