Question

A ballon that contains 0.75 l of gad at 25 c is cooled to - 100 c. Calculate the new volume of the baloon

Answer 1

0.44L

Step-by-step explanation:

Given parameters:

Initial volume = 0.75L

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

Final temperature = -100°C = 273 + (-100) = 173K

Unknown:

New volume of the balloon = ?

Solution:

According to Charles's law;

"the volume of a fixed mass of a gas varies directly as its 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 the initial and final states

Insert the parameters and solve;

`(0.75)/(298)` =
`(V_(2) )/(173)`

298V₂ = 129.75

V₂ = 0.44L