Question

A gas is contained in a thick-walled balloon. When the pressure changes from 45.0 bar to 96.0 bar, the volume changes from 1.20 L to ____ L and the temperature changes from 314 K to 420 K.

What decimal or number goes in the blank?

Answer 1

P1 * V1 ÷ T1 = P2 * V2 ÷ T2

45 * 1.20 ÷ 314 = 96 * V2 ÷ 420

30,144 * V2 = 22,680

V2 = 22,680 ÷ 30,144

The new volume is approximately 0.75 liter.

I hope I helped

Answer 2

The final volume of the gas is 0.752 L.

Step-by-step explanation:

Initial pressure of the gas =
`P_1=45.0 bar`

Initial volume of the gas =
`V_1=1.20L`

Initial temperature of the gas =
`T_1=314 K`

Final pressure of the gas =
`P_2=96.0 bar`

Final volume of the gas =
`V_2=?`

Final temperature of the gas =
`T_2=420 K`

Number of moles of gases are constant

Using an ideal gas equation :

`PV=nRT`

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

`V_2=(45.0 bar* 1.20 L* 420 K)/(314 K* 96 bar)=0.752 L`

The final volume of the gas is 0.752 L.