Question

An ideal gas in a sealed container has an initial volume of 2.70 L. At constant pressure, it is cooled to 17.00 ∘C, where its final volume is 1.75 L. What was the initial temperature?

Answer 1

Initial temperature of the ideal gas is 447.4 K.

Step-by-step explanation:

It is given that,

Initial volume, V₁ = 2.7 L

Final volume, V₂ = 1.75 L

Final temperature, T₂ = 17 °C = 290 K

We need to find the initial temperature of the gas. It can be calculated using Charles' law as :

`(V_1)/(T_1)=(V_2)/(T_2)`

`T_1=(V_1T_2)/(V_2)`

`T_1=(2.7\ L* 290\ K)/(1.75\ L)`

`T_1=447.4\ K`

So, the initial temperature of the ideal gas in a sealed container is 447.4 K. Hence, this is the required solution.