A sample of a gas is found to occupy a volume of `800 cm^(3) "at" 27^(@)` celsius. Calculate the temperature at which it will occupy a volume of `400 cm^(3)`, provided the pressure is kept constant.

Explanation

Here `v_(1)=800 cm^(-2) " " v_(2)= 400 cm^(3)`
`T_(1)=(27+273)K=300K " " T_(2)= ?`
Applying Charle.s law, `(V_(1))/(T_(1))=(V_(2))/(T_(2))`
`T_(2)=(V_(2)xxT_(1))/(V_(1))=(400cm^(3)xx300K)/(800 cm^(3))=150 K`
`=150-273=-123^(@)C`
`:. T_(2)=-123^(@)C`