Question

if the initial temperature is T find the final temperature during this thermodynamic process from A to B​

Answer 1

Answer:

Given:

A Pressure vs Volume graph has been provided .

To find:

Temperature at point B

Concept:

Temperature is a State Function , hence depends upon the particular state of the system and not upon the Path Of Change of The State.

Assumptions:

Ideal Gas is being considered is this thermodynamic process.

Calculation:

As per Ideal Gas Law :

$\: \: \: \: \: \: \boxed{ \huge{ \sf{ \bold{ \red{PV = nRT}}}}}$

$\sf{ \implies \: T = \dfrac{PV}{nR} }$

In the 2nd State:

$\: \: \: \: \: \: \: \: \boxed{ \large{ \sf{ \bold{ \red{(2P)(3V )= nRT_{2}}}}}}$

$\sf{ \implies \: T_{2}= \dfrac{6PV}{nR}}$

$\sf{ \implies \: T_{2}= 6T}$

So final Temperature will be 6T at point B

Additional Information:

• Work done in a process is given by the area under the PV curve
• Work done in Iso-choric process is zero.
• Magnitude of work done is equal to heat transfer in Isothermal process
• Magnitude of work done in Adiabatic process is equal to the Change in internal energy.