Question

What is the volume of the air in a balloon that occupies 8.7 L at 50.0°C if the temperature is lowered to 25.0°C?

Answer 1

8.03L

Step-by-step explanation:

Given parameters:

Initial volume, V₁ = 8.7L

Initial temperature T₁ = 50°C , in Kelvin gives 50+273 = 323K

Final temperature T₂ = 25°C, in Kelvin gives 25 + 273 = 298K

Unknown:

Final volume V₂ = ?

Solution:

Since we are dealing with volume and temperature relationships under constant pressure, we simply apply the Charles's law.

Charles's law states that "the volume of a given mass of gas is directly proportional to the temperature provided the pressure remains constant".

Mathematically, we have;

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

where V andV T are volume and temperature, 1 and 2 are initial and final states.

Input the parameters and solve for V₂;

`(8.7)/(323) = (V_(2) )/(298)`

V₂ = 8.03L