a litre of air initially at 327 degree centigrade is first cooled at a temperature at 27 degree centigrade , - Physics - Thermal Properties of Matter

Question

a litre of air initially at 327 degree centigrade is first cooled
at a temperature at 27 degree centigrade , the volume remaining
constant and compressed to its original pressure Find the final
volume of air

Ved Prakash Lakhera · Accepted Answer

Since the volume remains constant when 1litre of air is cooled from T0=273+327=600K to   T1=273+27=300K, so  P α T
Therefore       P0T0=P1T1i
 e
                P0600=P1300or                    P1=P02Now when      P2=P0 then by Boyle's law we get;                          P0V2= P02V0or                     V2=V02Thus the final volume of air is V02=12litre
or

a litre of air initially at 327 degree centigrade is first cooled at a temperature at 27 degree centigrade , the volume remaining constant and compressed to its original pressure . Find the final volume of air .