Question
Kinetic theory of gases provide a base for
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Answer
Kinetic theory of gases state that anerage kinetic energy $(KE)$ of the gas molecules is directly proportional to the absolute temperature.
$P V=\frac{1}{3} m n V_{r m s}^{2}=\frac{2}{3} \times \frac{1}{2} m n v_{\text {rms }}^{2}=\frac{2}{3} k T$
Boyle's law state that at constant temperature average $K E$ is constant, So, $v_{\text {rms }}$ Memains unchanged. If volume increases pressure of gas decreases.
i.e., $P V=$ constant .
Charle's law state that if we allow the volume to change to maintain constant pressure the volume will increase with increasing temperature
$\text { i.e., } V=K T$
$\therefore$ Option $(c)$ is correct.
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