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

Step-by-step explanation:

The combined gas equation is,

`(P_1V_1)/(T_1)=(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:

`(760* 233)/(295)=(511* V_2)/(221)`

`V_2=260L`

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