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

0.7L

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 and T are temperature values

1 and 2 are initial and final states;

  Insert the parameters and solve;

      =  

        V₂   =   = 0.7L

the product of the pressure and volume is also constant