Answer:
The new volume of the balloon is 600cm³
Explanation:
Given parameters:
Initial Volume, which is V₁ = 200cm³
Initial temperature, T₁ = 60°C
Final temperature T₂ = 180°C
Final Volume V₂ =?
To solve this kind of problem, we apply one of the gas laws that shows the relationship between volume and temperature.
This law is the Charles law, it states that " the volume of a fixed mass of a gas is directly proportional to its absolute temperature if pressure is constant".
It is simply expressed as:
V₁/T₁ = V₂/T₂
Since our unknown is V₂, we make it the subject of the expression given above:
V₂ = V₁T₂/T₁
Now input the corresponding values and solve:
V₂ = 200 x 180 / 60
V₂ = 36000/60
V₂ = 600cm³
The new volume of the balloon is 600cm³
