Question

A balloon is filled with a gas and has a volume of 1.79 L at 2.82 atm pressure. What will its volume be if

the pressure is changed to 5.30 atm?

Answer 1

The answer is 0.95 L

Step-by-step explanation:

In order to find the volume when the pressure is changed to 5.30 atm we use Boyle's law which is

`P_1V_1 = P_2V_2 \\`

where

P1 is the initial pressure

P2 is the final pressure

V1 is the initial volume

V2 is the final volume

Since we are finding the final volume

`V_2 = (P_1V_1)/(P_2) \\`

From the question

P1 = 2.82 atm

V1 = 1.79 L

P2 = 5.30 atm

So we have

`V_2 = (2.82 * 1.79)/(5.3) \\ = 0.9524150943...`

We have the final answer as

0.95 L

Hope this helps you