Question

A sample of a gas has a volume of 639 cm3 when the pressure is 75.9 kPa. What is the volume of the gas when the pressure is increased to 125 kPa if the temperature remains constant? *

Answer 1

`388 cm^3`

Step-by-step explanation:

For this problem, we can use Boyle's law, which states that for a gas at constant temperature, the product between pressure and volume remains constant:

`pV=const.`

which can also be rewritten as

`p_1 V_1 = p_2 V_2`

In our case, we have:

`p_1 = 75.9 kPa` is the initial pressure

`V_1 = 639 cm^3` is the initial volume

`p_2 = 125 kPa` is the final pressure

Solving for V2, we find the final volume:

`v_2 = (p_1 V_1)/(p_2)=((75.9)(639))/(125)=388 cm^3`