KVPY Sample Paper KVPY Stream-SX Model Paper-1

The graph given below expresses the various steps of the system containing 1 mole of gas. Which type of process, system has when it moves from C to A?

A) Isochoric

B) Lsobaric

C) Isothermal

D) Cyclic

Correct Answer: A

Solution :

[a]

At A

Temp. = 300 K, volume = 10 L

Let pressure at this point \[={{p}_{1}}\]At C

Temp. = 600 K, volume = 20 L

Let the pressure at this point \[={{p}_{2}}\]

According to ideal gas,

pV = RT (For 1 mole)

\[R=\frac{pV}{T}\]

\[\therefore \]For system A, R \[=\frac{{{p}_{1}}\times 10}{300}\]

For system \[=\frac{{{p}_{2}}\times 20}{600}\]

\[=\frac{{{p}_{1}}\times 10}{300}=\frac{{{p}_{2}}\times 20}{600}\]

\[{{p}_{1}}={{p}_{2}}\]

Thus, it is an isochoric process, when system moves from A \[\to \] C.