Question

a balloon initially has 0.40 liters and a temperature of 20°C what will the volume of the balloon be after it heats to 250°C

Answer 1

0.7L

Step-by-step explanation:

Given parameters:

Initial volume V₁ = 0.4L

Initial temperature T₁ = 20°C = 20 + 273 = 293K

Final temperature = 250°C = 250 + 273 = 523K

Unknown:

Final volume V₂ = ?

Solution:

To solve this problem, we apply Charles's law.

It states that "the volume of a fixed mass of a gas varies directly as the absolute temperature if the pressure is constant".

mathematically;

`(V_(1) )/(T_(1) ) = (V_(2) )/(T_(2) )`

V and T are temperature values

1 and 2 are initial and final states;

Insert the parameters and solve;

`(0.4)/(293)` =
`(V_(2) )/(523)`

V₂ =
`(523 x 0.4)/(293)` = 0.7L