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Question

At the top of a mountain a thermometer reads 7 and barometer reads 70 cm of Hg. At the bottom of the mountain they read 27 and 76 cm of Hg respectively. Compare the density of the air at the top with that at the bottom.

A
0.7867
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B
0.5894
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C
0.9868
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D
0.3658
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Solution

The correct option is C 0.9868
According to gas equation PV = nRT
PV=mMRT[as n=mM]or PρT=MR[as mV=ρ]
Now as M and R are same for top and bottom
(PρT)T=(PρT)Bi.e. ρTρB=PTPB×TBTTSo ρTρB=7076×300280=7576=0.9868

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