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» <html><body><p></p>Solution :When balloon is at the earth surface, <br/> `P_1 = 1.000 atm"" V_1 = 175 <a href="https://interviewquestions.tuteehub.com/tag/l-535906" style="font-weight:bold;" target="_blank" title="Click to know more about L">L</a>`<br/>At a height of`<a href="https://interviewquestions.tuteehub.com/tag/2000-289566" style="font-weight:bold;" target="_blank" title="Click to know more about 2000">2000</a> m, "" P_2 = 0.8000 " atm "V_2` = ? <br/> <a href="https://interviewquestions.tuteehub.com/tag/since-644476" style="font-weight:bold;" target="_blank" title="Click to know more about SINCE">SINCE</a>, the temperature is <a href="https://interviewquestions.tuteehub.com/tag/assumed-1986844" style="font-weight:bold;" target="_blank" title="Click to know more about ASSUMED">ASSUMED</a> to be constant, we have (according to Boyle.s law) <br/> `P_1 V_1 = P_2 V_2` <br/>or`P_2 = (P_1 V_1)/(P_2) = (1.000 xx 175)/(0.8000)=218.7 L` <br/><a href="https://interviewquestions.tuteehub.com/tag/hence-484344" style="font-weight:bold;" target="_blank" title="Click to know more about HENCE">HENCE</a>, at a height of 2000 m, the volume of the balloon will be 218.7 L.</body></html>