Temperature of an ideal gas is 300 K. The change in temperature of the gas when its volume changes from $V$ to $2V$ in the process $p = \alpha V$ (here $\alpha$ is a positive constant) is

Question

Dr. Abubacker · Accepted Answer

(b) The given relation is $p \propto V$
Therefore, $p \propto V$
When $V$ chnages from $V$ to $2V$, pressure $p$ is also doubled
For an ideal gas, $\frac{pV}{T} =$constant
$	herefore\ T \propto pv$. Hence, $T$ becomes $2 	imes 2 = 4$ times
$ie,\ 4 	imes 300\ K = 1200\ K$

Q. Temperature of an ideal gas is 300 K. The change in temperature of the gas when its volume changes from $V$ to $2V$ in the process $p = \alpha V$ (here $\alpha$ is a positive constant) is

Explanation

Reviewed by Dr. Abubacker

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