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Physics-

General

Easy

Question

A gas is expanded from volume $V subscript 0 end subscript$ to $2 V subscript 0 end subscript$ under three different processes, in figure process 1 is isobaric process, process 2 is isothermal and process 3 is adiabatic. Let $increment U subscript 1 end subscript comma blank increment U subscript 2 end subscript$ and $increment U subscript 3 end subscript$ be the change in internal energy of the gas in these three processes. Then

$∆ U_{1} > ∆ U_{2} > ∆ U_{3}$
$∆ U_{1} < ∆ U_{2} < ∆ U_{3}$
$∆ U_{2} < ∆ U_{1} > ∆ U_{3}$
$∆ U_{2} < ∆ U_{3} < ∆ U_{1}$

The correct answer is: $increment U subscript 1 end subscript greater than increment U subscript 2 end subscript greater than increment U subscript 3 end subscript$

Process 1 is isobaric $left parenthesis p equals$ constant) expansion
Hence, temperature of gas will increase
$therefore blank increment U subscript 1 end subscript equals$ negative
Process 2 is an adiabatic expansion
$therefore blank increment U subscript 2 end subscript equals 0$
Process 3 is an adiabatic expansion
Hence, temperature of gas will fall
$therefore blank increment U subscript 3 end subscript equals$ constant
$therefore blank increment U subscript 1 end subscript greater than increment U subscript 2 end subscript greater than increment U subscript 3 end subscript$

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