If the temperature of 1000 mL of gas is changed from -86oC to 101oC. What is the approximate final volume?

2000 mL

Explanation:

We have the following data:

Initial volume: V₁ = 1000 mL

Initial temperature: T₁ = -86°C + 273 = 187 K

Final temperature: T₂= 101°C + 273 = 374 K

According to Charles' law, as the temperature of a gas is increased at constant pressure, the volume is increased. That is expressed mathematically as:

V₁/T₁ = V₂/T₂

Thus, we calculate the final volume V₂ as follows:

V₂ = V₁/T₁ x T₂ = (1000 mL)/187 K x 374 K = 2000 mL

Therefore, the final volume is 2000 mL.