The density of methane is maximum under which | vedclass

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(D) The density $(d)$ of an ideal gas is given by the formula $d = \frac{PM}{RT}$,where $P$ is pressure,$M$ is molar mass,$R$ is the gas constant,and

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$0^{\circ} C$,$3 \ bar$

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(D) The density $(d)$ of an ideal gas is given by the formula $d = \frac{PM}{RT}$,where $P$ is pressure,$M$ is molar mass,$R$ is the gas constant,and $T$ is temperature in Kelvin.From this relation,$d \propto \frac{P}{T}$.To maximize density,we need the highest pressure $(P)$ and the lowest temperature $(T)$.Comparing the options:$A$: $T = 273 \ K, P = 2 \ bar \implies \frac{P}{T} = \frac{2}{273} \approx 0.0073$$B$: $T = 546 \ K, P = 1 \ bar \implies \frac{P}{T} = \frac{1}{546} \approx 0.0018$$C$: $T = 546 \ K, P = 2 \ bar \implies \frac{P}{T} = \frac{2}{546} \approx 0.0036$$D$: $T = 273 \ K, P = 3 \ bar \implies \frac{P}{T} = \frac{3}{273} \approx 0.0109$Thus,the density is maximum at $0^{\circ} C$ and $3 \ bar$.

The density of methane is maximum under which conditions?

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