The volume of a fixed sample of a gas is 150 mL at 25°C , at what temperature will its volume increase to 350 mL ?

T₂ = 695.33 K

Explanation:

Given data:

Initial volume = 150 mL

Initial temperature = 25°C (25+273 = 298 K)

Final temperature = ?

Final volume = 350 mL

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

T₂ = V₂T₁ /V₁

T₂ = 350 mL × 298 K / 150 mL

T₂ = 104300 mL.K / 150 mL

T₂ = 695.33 K

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