Question

What volume will a balloon occupy at 1.0 atm, if the balloon has a volume of 7.6 l at 3.8 atm?

Answer 1

Answer: The final volume of balloon is 28.88 L

Explanation:

To calculate the new volume, we use the equation given by Boyle's law. This law states that pressure is inversely proportional to the volume of the gas at constant temperature.

The equation given by this law is:

$P_1V_1=P_2V_2$

where,

$P_1\text{ and }V_1$ are initial pressure and volume.

$P_2\text{ and }V_2$ are final pressure and volume.

We are given:

$P_1=3.8atm\\V_1=7.6L\\P_2=1.0atm\\V_2=?L$

Putting values in above equation, we get:

$3.8atm\times 7.6L=1.0atm\times V_2\\\\V_2=\frac{3.80\times 7.6}{1}=28.88L$

Hence, the final volume of balloon is 28.88 L

Answer 2

From the Boyle's law, it is clear that volume is inversely proportional to pressure. Thus it is prudent to say that, P1V1=P2V2
From the question above,
P1=1atm
P2=3.8atm
V1=?
V2=7.6L
Hence, 1*V1=3.8atm*7.6L
V1=28.88L