Question

A 1000 mL sample of a gas at `-73^(@)C` and 2 atmosphere is heated to `123^(@)C` and the pressure is reduced to 0.5 atmosphere. What will be the find volume ?

Answer 1

`{:("Inital conditions","Final conditions",),(P_(1) = 2 atm,P_(2) = 0.5 atm,),(V_(1) = 1000 mL,V_(2) = ?,),(T_(1) = - 73^(@)C = (-73 + 273),T_(2) = 123^(@)C = (123 + 273),),(= 200 K,= 400 K,):}`
We know that,
`(P_(1) V_(1))/(T_(1)) = (P_(2) V_(2))/(T_(2))`
So, `(2 xx 1000)/(200) = (0.5 xx V_(2))/(400)`
or `V_(2) = (2 xx 1000 xx 400)/(200 xx 0.5) = 8000 mL`