First slide

Different type of processes

Question

A certain mass of you at 273 k is expanded to 256 times its volume under adiabatic temperature is

Moderate

A

-235.65^oC
B

-182^oC
C

-204.75^oC
D

Zero

Solution

For adiabatic process, ${TV}^{γ - 1} = cons tant$
$\begin{array}{l} \Rightarrow \frac{T_{2}}{T_{1}} = {(\frac{V_{1}}{V_{2}})}^{γ - 1} \\ \Rightarrow T_{2} = {(\frac{V_{1}}{V_{2}})}^{γ - 1} \times T_{1} \\ \Rightarrow T_{2} = {(\frac{1}{256})}^{1 .2 - 1} \times 273 = {(\frac{1}{256})}^{023} \times 273 \\ \Rightarrow T_{2} = 273 \times \frac{1}{4} = 68 .25 K = - 204 {.75}^{\circ} C \end{array}$

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