Answer to Question #98885 in General Chemistry for Robert Sarberto

Question

A simple of Hydrogen gas occupied a volume of 10dm3 at 80℅. Calculate the new temperature when the gas is cooled and the volume is reduced to 2.5dm3 at constant pressure.

Answer 1

Given at initial conditions : $V= 10 dm^3; T =80°C= 353K$

As Pressure and number of moles of gas stay constant, from ideal gas law we get;

$V/T=constant$

Finally $V=2.5dm^3$

$\implies V_i/T_i=V_f/T_f$

$\implies T_f=(2.5/10)*353$

$=78.25 K=-194.75°C$