Question

A balloon is filled to a volume of 1.6 L at 278 K. The balloon is left outside overnight and the temperature has dropped to 253 K. What is the new volume?

Answer 1

Step-by-step explanation:

Charles' law gives the relationship between the volume and the temperature of the gas. Mathematically,

Volume ∝ Temperature

i.e.
`(V_1)/(V_2)=(T_1)/(T_2)`

We have, V₁ = 1.6 L, T₁ = 278 K, T₂ = 253, V₂=?

`V_2=(V_1T_2)/(T_1)\\\\V_2=(1.6* 253)/(278)\\\\V_2=1.45\ L`

So, the new volume is 1.45 L.