The density of neon will be highest at

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(B) 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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${0\,^oC}, 2\,atm$

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(B) 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. Since $M$ and $R$ are constants,$d \propto \frac{P}{T}$. For option $A$ $(S.T.P.)$: $P = 1\,atm$,$T = 273\,K$,so $d \propto \frac{1}{273} \approx 0.0036$. For option $B$: $P = 2\,atm$,$T = 273\,K$,so $d \propto \frac{2}{273} \approx 0.0073$. For option $C$: $P = 1\,atm$,$T = 546\,K$,so $d \propto \frac{1}{546} \approx 0.0018$. For option $D$: $P = 2\,atm$,$T = 546\,K$,so $d \propto \frac{2}{546} \approx 0.0036$. Comparing the values,the density is highest at ${0\,^oC}$ and $2\,atm$.

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