A) \[\frac{{{P}_{1}}}{{{T}_{1}}{{d}_{1}}}=\frac{{{P}_{2}}}{{{T}_{2}}{{d}_{2}}}\]
B) \[\frac{{{P}_{1}}{{T}_{1}}}{{{d}_{1}}}=\frac{{{P}_{2}}{{T}_{2}}}{{{d}_{2}}}\]
C) \[\frac{{{P}_{1}}{{d}_{2}}}{{{T}_{1}}}=\frac{{{P}_{2}}{{d}_{1}}}{{{T}_{1}}}\]
D) \[\frac{{{P}_{1}}{{d}_{1}}}{{{T}_{1}}}=\frac{{{P}_{2}}{{d}_{2}}}{{{T}_{2}}}\]
Correct Answer: A
Solution :
| [a] \[PV=\mu RT=\frac{m}{M}RT\] Þ \[P=\frac{d}{M}RT\] (Density \[d=\frac{m}{V}\]) |
| Þ \[\frac{P}{dT}=\]constant or \[\frac{{{P}_{1}}}{{{d}_{1}}{{T}_{1}}}=\frac{{{P}_{2}}}{{{d}_{2}}{{T}_{2}}}\] |
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