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

At the top of a mountain a thermometer reads 7^(@)C and a barometer re

1.	At the top of a mountain a thermometer reads 7^(@)C and a barometer reads 70 cm of Hg. At the bottom of the mountain they read 27^(@)C and 76 cm of Hg respectively. Compare the density of air at the top with that at the bottom.
Answer» <P> Solution :At the top of the MOUNTAIN , Pressure `P_(1)=70cm` of Hg , Temperature `T_(1)=7+273=280K` Density of the air `=d_(1)`, At the bottom of the mountain , Pressure `P_(2)=76` CM of Hg Temperature `T_(2)=27+273=300K` , Density of the air = `d_(2)` From the GAS equation, `P_(1)/(d_(1)T_(1))=P_(2)/(d_(2)T_(2))" or "d_(1)/d_(2)=P_(1)/T_(1) times T_(2)/P_(2)=70/280 times 300/76=0.9868`.