Question

A gas sample occupies 2.1 L at a pressure of 101 kPa.

What volume will it occupy if the pressure is increased to 235 kPa?
A. 4.9 L
B. 1.6L
C. 1.2 L
D. 0.9 L

Answer 1

D) 0.9 L

Step-by-step explanation:

At constant temperature,

PV = Constant

so,

P1.V1 = P2. V2

101 × 2.1 = 235 × V2

V2 = 0.9 L

Answer 2

0.9L

Step-by-step explanation:

Given parameters:

Initial volume = 2.1L

Initial pressure = 101kPa

Final pressure = 235kPa

Unknown:

Final volume = ?

Solution:

The relationship is between pressure and volume. To solve this problem, we apply Boyle's law which states that "the volume of a fixed mass of a gas varies inversely as the pressure changes if the temperature is constant".

Mathematically;

P₁V₁ = P₂V₂

P₁ is the initial pressure

V₁ is the initial volume

P₂ is the final pressure

V₂ is the final volume

Now insert the parameters and solve;

2.1 x 100 = 235 x V₂

V₂ = 0.89L