Question

A large balloon contains 233 L of neon at 22.0C and 760. Torr. If the balloon ascends to an altitude where the temperature is - 52.0C and the pressure is 511 torr, what is the volume in the balloon at the higher altitude?

Answer 1

Answer: The volume in the balloon at the higher altitude is 260 L

Explanation:

The combined gas equation is,

$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$

where,

$P_1$ = initial pressure of gas = 760 torr

$P_2$ = final pressure of gas = 511 torr

$V_1$ = initial volume of gas = 233 L

$V_2$ = final volume of gas = ?

$T_1$ = initial temperature of gas = $22.0^0C=(22.0+273)K=295K$

$T_2$ = final temperature of gas = $-52.0^0C=(-52.0+273)K=221K$

Now put all the given values in the above equation, we get:

$\frac{760\times 233}{295}=\frac{511\times V_2}{221}$

$V_2=260L$

The volume in the balloon at the higher altitude is 260 L