A weather balloon has a volume of 175 L when filled with hydrogen at a pressure of 1.000 atm. Calculate the volume of the balloon when it rises to a height of 2000 m, where atmospheric pressure is 0.8000 atm. Assume that temperature is constant.

A weather balloon has a volume of 175 L when filled with hydrogen at a

1.	A weather balloon has a volume of 175 L when filled with hydrogen at a pressure of 1.000 atm. Calculate the volume of the balloon when it rises to a height of 2000 m, where atmospheric pressure is 0.8000 atm. Assume that temperature is constant.
Answer» Solution :When balloon is at the earth surface, `P_1 = 1.000 atm"" V_1 = 175 L` At a height of`2000 m, "" P_2 = 0.8000 " atm "V_2` = ? SINCE, the temperature is ASSUMED to be constant, we have (according to Boyle.s law) `P_1 V_1 = P_2 V_2` or`P_2 = (P_1 V_1)/(P_2) = (1.000 xx 175)/(0.8000)=218.7 L` HENCE, at a height of 2000 m, the volume of the balloon will be 218.7 L.