question_answer

DIRECTION: Read the passage given below and answer the questions that follows:

In the figure n mole of a monoatomic ideal gas undergo the process ABC as shown in the P-V diagram. The process AB is isothermal and BC is isochoric. The temperature of the gas at A is \[{{T}_{0}}\]. Total heat given to the gas during the process ABC is measured to be Q.

Temperature of the gas at C is equal to

A) \[{{T}_{0}}\]

B) \[3{{T}_{0}}\]

C) \[6{{T}_{0}}\]

D) \[2{{T}_{0}}\]

Correct Answer: B

Solution :

[b] AB is an isothermal process then

\[P\times 2V={{P}_{B}}\times 6V\Rightarrow {{P}_{B}}=\frac{P}{3}\]

Now, BC is an isochoric process then

\[\frac{{{P}_{B}}}{{{T}_{B}}}=\frac{{{P}_{C}}}{{{T}_{C}}};\frac{P}{3{{T}_{0}}}=\frac{P}{{{T}_{C}}};{{T}_{C}}=3{{T}_{0}}\]