Question

Boyles Law P1V1 = P2V2

Answer 1

Answer:

A. The balloons will increase to twice their original volume.

Explanation:

Boyle's law states that the pressure exerted on a gas is inversely proportional to the volume occupied by the gas at constant temperature. That is:

P ∝ 1/V

P = k/V

PV = k (constant)

P = pressure, V = volume.

$P_1V_1=P_2V_2$

Let the initial pressure of the balloon be P, i.e. $P_1=P$, initial volume be V, i.e. $V_1=V$. The pressure is then halved, i.e. $P_2=\frac{P}{2}$

$P_1V_1=P_2V_2\\\\P*V=\frac{P}{2} *V_2\\\\V_2=\frac{2*P*V}{P}\\\\V_2=2V$

Therefore the balloon volume will increase to twice their original volume.