The temperature of 300 milliliters of a gas at 400K is increased to 800K, pressure remaining constant. What will the new volume of gas be?

V₂ = 600 mL

Explanation:

Given data:

Initial volume = 300 mL

Initial temperature = 400 K

Final temperature = 800 K

Final volume = ?

Solution:

The given problem will be solve through the Charles Law.

According to this law, The volume of given amount of a gas is directly proportional to its temperature at constant number of moles and pressure.

Mathematical expression:

V₁/T₁ = V₂/T₂

V₁ = Initial volume

T₁ = Initial temperature

V₂ = Final volume  

T₂ = Final temperature

Now we will put the values in formula.

V₁/T₁ = V₂/T₂

V₂ = V₁T₂/T₁  

V₂ = 300 mL × 800 K / 400 k

V₂ = 240000 mL.K / 400  K

V₂ = 600 mL