Under which conditions will the density of a | vedclass

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(B) From the ideal gas equation,$PV = nRT$,where $n = \frac{m}{M}$.Substituting this,$PV = \frac{m}{M} RT$.Rearranging for density $(d = \frac{m}{V})$

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$100 \ K$ and $2 \ atm$

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(B) From the ideal gas equation,$PV = nRT$,where $n = \frac{m}{M}$.Substituting this,$PV = \frac{m}{M} RT$.Rearranging for density $(d = \frac{m}{V})$,we get $d = \frac{PM}{RT}$.For a given gas,$M$ is constant,so $d \propto \frac{P}{T}$.To maximize density $(d)$,we need to maximize pressure $(P)$ and minimize temperature $(T)$.Comparing the options:$(A)$ $\frac{P}{T} = \frac{1}{100} = 0.01$$(B)$ $\frac{P}{T} = \frac{2}{100} = 0.02$$(C)$ $\frac{P}{T} = \frac{1}{200} = 0.005$$(D)$ $\frac{P}{T} = \frac{3}{200} = 0.015$Comparing the values,option $(B)$ has the highest ratio of $\frac{P}{T}$.

Under which conditions will the density of a gas be maximum?

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