Question

A gas occupies 43.0 L of space at 225 ℃. Calculate the final temperature of the gas if it is compressed to 20.6 L of space.

Answer 1

`T_2=238.57^(\circ) C`

Step-by-step explanation:

Given that,

Initial volume, V₁ = 43 L

Initial temperature, T₁ = 225℃ = 498 K

Final volume, V₂ = 20.6 L

We need to find the final temperature. We know that, the relation between volume and temperature is given by :

`V\propto T\\\\(V_1)/(V_2)=(T_1)/(T_2)\\\\T_2=(T_1V_2)/(V_1)`

Put all the values,

`T_2=(498* 20.6)/(43)\\\\T_2=238.57^(\circ) C`

So, the final temperature is equal to
`238.57^(\circ) C`.