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Temperatures and pressure on top of the ...

Temperatures and pressure on top of the hill are `7^@C` and 70 cmHg and the corresponding values at its base are `27^@C` and 76cmHg. Compare the densities of air at the top and the base of the hill.

Text Solution

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We use the relation `p_1/(p_1T_1)=p_2/(p_2T_2)`
Here, `p_1=70cmHg,T_1=273+7=280K,p_2=76cmHg ` and `T_2=273+27=300K`.
`70/(p_1times280)=76/(p_2times300)or,p_1/p_2=(300times70)/(76times280)=75/76`.
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