5 g of an unknown hgas has pressure P at temperature TK in a vessel. On increasing the temperature by 50^(@)C, 1g of the was given out to maintain the pressure P. What was the original temperature of the gas ?

5 g of an unknown hgas has pressure P at temperature TK in a vessel. O

1.	5 g of an unknown hgas has pressure P at temperature TK in a vessel. On increasing the temperature by 50^(@)C, 1g of the was given out to maintain the pressure P. What was the original temperature of the gas ?
Answer» <P> SOLUTION :Initially,`T_(1)=T,P_(1)=P,V_(1)=V `(Volume of the VESSEL), `n_(1)=(5)/(M)`MOLE Finally,`T_(2)=(T+50)K, P_(2)=P, V_(2)=V, n_(2)=(5-1)/(M)=(4)/(M)` mole (Increase of `50^(@)C`=increase of 50 K because size of `1^(@)C`=1 K) ApplyingPV=nRT `n_(1)T_(1)=n_(2)T_(2)` `(5)/(M)xxT=(4)/(M)(T+50)"or"5T=4T+200"orT=200 K`