Question

A gas-filled balloon having a volume of 1.00 L at 1.2 atm and 25°C is allowed to rise to the stratosphere (about 30 km above the surface of Earth), where the temperature and pressure are -23°C and 3.00 10-3 atm, respectively. Calculate the final volume of the balloon.

Answer 1

Answer: The final volume of the balloon is 335.6 L

Step-by-step explanation:

To calculate the final volume of the balloon, we use the equation given by combined gas law:

`(P_1V_1)/(T_1)=(P_2V_2)/(T_2)`

where,

`P_1` = Initial pressure = 1.2 atm

`P_2` = Final pressure =
`3.00* 10^(-3)` atm

`V_1` = Initial volume = 1.00 L

`V_2` = Final volume = ?

`T_1` = Initial temperature =
`25^oC=[25+273]=298K`

`T_2` = Final temperature =
`-23^oC=[-23+273]=250K`

Putting values in above equation, we get:

`(1.2atm* 1.00L)/(298K)=(3.00* 10^(-3)atm* V_2)/(250K)\\\\V_2=(1.2* 1.00* 250)/(298* 3.00* 10^(-3))\\\\V_2=335.6L`

Hence, the final volume of the balloon is 335.6 L