Question

A ges at a pressure of 2.0 atm is heated from 0 to `273^(@) C` and the volume compressed to 1/4th of its original volume. Find the final pressure.

Answer 1

`{:("Initial condition",,"Final condition"),(V_(1)=V,,V_(2) = ¼ V),(T_(1) = 0^(@)C or 273 K,,T_(2) = 273^(@)C (or) 546 K),(P_(1) = 2" atm",,P_(2) =?):}`
According to gas equation, `(P_(1)V_(1))/T_(1) = (P_(2)V_(2))/T_(2)`
`P_(2) = (P_(1)V_(1))/T_(1) xxT_(2)/P_(2) =(2xxV)/273 xx546/V xx4,P_(2) = 16` atm