Question

If the pressure on a gas sample is tripled and the absolute temperature is quadrupled, by what factor will the volume of the sample change?
a.12

b.4/3

c.3/4

d.1/3

e.4

Answer 1

Answer:

b. 4/3

Explanation:

Given data

• Initial pressure: P₁

• Initial volume: V₁

• Initial temperature: T₁

• Final pressure: P₂ = 3 P₁

• Final volume: V₂

• Final temperature: T₂ = 4 T₁

We can find by what factor will the volume of the sample change using the combined gas law.

$\frac{P_{1}.V_{1}}{T_{1}} =\frac{P_{2}.V_{2}}{T_{2}}\\\frac{P_{1}.V_{1}}{T_{1}} =\frac{3P_{1}.V_{2}}{4T_{1}}\\V_{1} =\frac{3V_{2}}{4}\\V_{2}=4/3 V_{1}$