First slide

Different type of processes

Question

A sample of certain gas is allowed to expand to twice the initial volume
(a) Isothermally and then
(b) adiabatically, then the final pressure (P_f) and the change of pressure ( $Δ$ p) are such that

Moderate

A

Both P_f $Δ$ p are most for isothermal change
B

Both P_f, $Δ$ p are most for adiabatic change
C

$P_{f}$ is more for adiabatic and $Δ$ p more for isothermal change
D

P_fis more for isothermal and $Δ$ p is more for adiabatic

Solution

$\begin{array}{l} P_{1} V_{1} = P_{2} 2 V_{1} \Rightarrow \frac{P_{2}}{P_{1}} = \frac{1}{2} \\ P_{2} = P_{1} {(\frac{V_{1}}{V_{2}})}^{γ} \\ P_{2} = 2^{- γ} P_{1} \end{array}$
$Δ$ P is more in adiabatic process

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