The air density at Mount Everest is less than | vedclass

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(A) The number of moles of gas remains constant in both states. According to the ideal gas law,$\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}$.Given at se

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$3.86$

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(A) The number of moles of gas remains constant in both states. According to the ideal gas law,$\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}$.Given at sea level:$P_1 = 1 \, atm$$V_1 = 30,000 \, cc = 30 \, L$$T_1 = 27^{\circ}C = 27 + 273 = 300 \, K$Given at Mount Everest site:$V_2 = 5.2 \, L$$T_2 = -73^{\circ}C = -73 + 273 = 200 \, K$$P_2 = ?$Substituting the values into the equation:$\frac{1 	imes 30}{300} = \frac{P_2 	imes 5.2}{200}$$0.1 = \frac{P_2 	imes 5.2}{200}$$P_2 = \frac{0.1 	imes 200}{5.2} = \frac{20}{5.2} \approx 3.846 \, atm \approx 3.86 \, atm$.

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