A student increases the temperature of a 417 cm squared balloon from 278 K to 231 K assuming constant pressure what should the new volume of the balloon be

346.5 cm³

Solution:

Lets suppose the gas is acting ideally, then according to Charle's Law, "The volume of a fixed mass of gas at constant pressure is directly proportional to the absolute temperature". Mathematically for initial and final states the relation is as follow,

V₁ / T₁ = V₂ / T₂

Data Given;

V₁ = 417 cm³

T₁ = 278 K

V₂ = ?

T₂ = 231 K

Solving equation for V₂,

V₂ = V₁ T₂ / T₁

Putting values,

V₂ = (417 cm³ * 231 K) : 278 K

V₂ = 346.5 cm³

Result:

As the temperature has been increased, therefore, the volume is also increased from 417 cm³ to 346.5 cm³.