Consider a jar A filled with an ideal gas characterised by parameters p, V and T and another jar B filled with an ideal gas with parameters 2p, V4 and 2T, where the symbols have their usual meanings. The ratio of the number of moles in the jar A to that in jar B is

p1V1=n1RT1 p2V2=n2RT2⇒n1n2=p1V1p2V2T2T1=pV(2T)2p(V4)T=4

Consider a jar A filled with an ideal gas characterised by parameters p, V and T and another jar B filled with an ideal gas with parameters 2p, V4 and 2T, where the symbols have their usual meanings. The ratio of the number of moles in the jar A to that in jar B is

p1V1=n1RT1 p2V2=n2RT2⇒n1n2=p1V1p2V2T2T1=pV(2T)2p(V4)T=4

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Consider a jar A filled with an ideal gas characterised by parameters p, V and T and another jar B filled with an ideal gas with parameters 2p, $\frac{V}{4}$ and 2T, where the symbols have their usual meanings. The ratio of the number of moles in the jar A to that in jar B is

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1 : 1

4 : 1

1 : 2

answer is D.

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$\begin{aligned} p_{1} V_{1} = n_{1} {RT}_{1} \\ p_{2} V_{2} = n_{2} {RT}_{2} \Rightarrow \frac{n_{1}}{n_{2}} = \frac{p_{1} V_{1}}{p_{2} V_{2}} \frac{T_{2}}{T_{1}} = \frac{pV (2 T)}{2 p (\frac{V}{4}) T} = 4 \end{aligned}$

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Consider a jar A filled with an ideal gas characterised by parameters p, V and T and another jar B filled with an ideal gas with parameters 2p, V4 and 2T, where the symbols have their usual meanings. The ratio of the number of moles in the jar A to that in jar B is

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Consider a jar A filled with an ideal gas characterised by parameters p, V and T and another jar B filled with an ideal gas with parameters 2p, $\frac{V}{4}$ and 2T, where the symbols have their usual meanings. The ratio of the number of moles in the jar A to that in jar B is