Question

Watch the video to determine which of the following relationships correctly depict the relationship between pressure and volume for a fixed amount of gas at constant temperature according to Boyle’s law. Check all that apply.
a. PV∝P
b. P∝1V
c. PV∝V
d. V∝P
e. V∝1P
f. P∝V

Answer 1

Answer : $P\propto \frac{1}{V}$ and  $V\propto \frac{1}{P}$

Explanation:

According to Boyle's law, it states that pressure is directly proportional to the volume of the gas for a fixed amount of gas and 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.

Thus the correct relation for pressure and volume for a fixed amount of gas at constant temperature according to Boyle’s law is $P\propto \frac{1}{V}$ and  $V\propto \frac{1}{P}$