Question

Assuming temperature is constant, what is the new volume when a 100.0 cm3 container at 120.0 kPa is expanded until the pressure is 60.0 kPa?

Answer 1

200cm³

Step-by-step explanation:

Given parameters;

Initial volume = 100cm³

Initial pressure = 120kPa

Final pressure = 60kPa

Unknown:

Final volume = ?

Solution:

The temperature is constant, we apply Boyle's law to solve this problem.

Boyle's states that "the volume of fixed mass of a gas varies inversely as the pressure changes, if the temperature is constant".

Mathematically;

P₁V₁ = P₂V₂

P and V are the pressure and volume

1 and 2 are the initial and final values;

Now insert the parameters and solve;

120 x 100 = 60 x V₂

V₂ = 200cm³