On a TP diagram, two moles of ideal gas perform process AB and CD . If work done by gas in process A

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11.Thermodynamics

hard

On a $TP$ diagram, two moles of ideal gas perform process $AB$ and $CD$. If the work done by the gas in the process $AB$ is two times the work done in the process $CD$ then what is the value of $T_1/T_2$?

A

$1/2$

B

$1$

C

$2$

D

$4$

Solution

Let slope of line $A C$ is $m_{1} \&$ that of line $D B$ is $m_{2}$

then,

$K T_{1}=\frac{m_{2}}{m_{1}} \quad(k$ is constant part)

$2 K T_{2}=\frac{m_{2}}{m_{1}}$

$K T_{1}=2 K T_{2}$

$\Rightarrow \frac{T_{1}}{T_{2}}=2$

Standard 11

Physics

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(AIPMT-2008)