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

b. 4/3

Step-by-step 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.

`(P_(1).V_(1))/(T_(1)) =(P_(2).V_(2))/(T_(2))\\(P_(1).V_(1))/(T_(1)) =(3P_(1).V_(2))/(4T_(1))\\V_(1) =(3V_(2))/(4)\\V_(2)=4/3 V_(1)`