Question

A certain mountain is $14,100$ feet above sea-level. The pressure at the top is $17.7$ inches of $Hg$. If you blew up a balloon at sea level, where the pressure measured to be $29.7$ inches and carried it to the top of the mountain, by what factor would its volume change w.r.t. final volume:

• A. $29.7-17.7$
• B. $29.7/17.7$
• C. $17.7/29.7$
• D. $12/29.7$

Answer 1

The correct option is A $29.7-17.7$

$V_1=\frac{nRT}{P_1}=\frac{nRT}{29.7}$

$V_2=\frac{nRT}{P_2}=\frac{nRT}{17.7}$

Now Volume change wrt final volume $=29.7-17.7$