A pressure P- absolute temperature T diagram | vedclass

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(C) From the ideal gas equation,we have $PV = \mu RT$.This implies $V = \frac{\mu R T}{P}$,or $V \propto \frac{T}{P}$ (since $\mu$ and $R$ are constan

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(C) From the ideal gas equation,we have $PV = \mu RT$.This implies $V = \frac{\mu R T}{P}$,or $V \propto \frac{T}{P}$ (since $\mu$ and $R$ are constant).For a straight line passing through the origin in a $P-T$ diagram,the slope $\frac{P}{T}$ is constant,which represents an isochoric process (constant volume).However,in the given graph,the line segment $1-2$ does not pass through the origin. Let the equation of the line be $P = mT + c$,where $c > 0$.Then,$\frac{P}{T} = m + \frac{c}{T}$.Since $V \propto \frac{T}{P}$,we have $V \propto \frac{1}{m + \frac{c}{T}}$.As the gas is heated from state $1$ to state $2$,the temperature $T$ increases. As $T$ increases,the term $\frac{c}{T}$ decreases. Consequently,the denominator $(m + \frac{c}{T})$ decreases,which means the volume $V$ increases.

Column-$I$	Column-$II$
$(a)$ Land snail	$(1)$ Urea
$(b)$ Cartilaginous fishes	$(2)$ Uric acid
$(c)$ Marine fishes	$(3)$ Ammonia

$A$ pressure $P-$ absolute temperature $T$ diagram was obtained when a given mass of gas was heated. During the heating process from state $1$ to state $2$,the volume:

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$(a)$ Land snail $(1)$ Urea

$(b)$ Cartilaginous fishes $(2)$ Uric acid

$(c)$ Marine fishes $(3)$ Ammonia

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