A high-altitude balloon is filled with `1.41xx10^(4)L` of hydrogen at a temperature of `21^(@)C` and a pressure of 745 torr. What is the volume of the balloon at a height of 20 km, where the temperature is `-48^(@)C` and the pressure is 63.1 torr?

Options

A. `1.274xx10^(5) L`
B. `1.66xx10^(5) L`
C. `1.66xx10^(4) L`
D. None of these

Answer

a

Explanation

(a) `(P_(1)V_(1))/(T_(1))=(P_(2)V_(2))/(T_(2))`
`V_(2)=(745xx1.41xx10^(4)xx225)/(294xx63.1)`
`=1.274xx10^(5)L`