Question

A balloon with a volume of 2.0 L is filled with a gas at 3 atmospheres. If the pressure is reduced to 0.5 atmospheres without a change in temperature, what would be the volume of the balloon?

Answer 1

Answer:

V2 = 12 L

Explanation:

Given the following data;

Initial volume = 2L

Initial pressure = 3 atm

Final pressure = 0.5 atm

To find the new volume V2, we would use Boyles' law.

Boyles states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.

Mathematically, Boyles law is given by;

$PV = K$

$P_{1}V_{1} = P_{2}V_{2}$

Substituting into the equation, we have;

$3 * 2 = 0.5V_{2}$

$6 = 0.5V_{2}$

$V_{2} = \frac {6}{0.5}$

$V_{2} = 12$

V2 = 12L

Therefore, the new volume is 12 Liters.