A 0.50 L container is ocupied by nitrogen at a pressure of 800 torr and a temperature of `0^(@)C`. The container can only withstand a pressure of 3.0 atm. What is the highest temperature `("^(@)C)` to which the container may be heated?

Explanation

Let `P_(1)=15"bar"`, `P_(2)= 30"bar"`
`T_(1)=20^(@)C=293 K`, `T_(2)=?`
Now, `(P_(1))/(T_(1))=(P_(2))/(T_(2))` or `T_(2)=(P_(2)T_(1))/(P_(1))=(30xx293)/(15)`
`:. T_(2)=586 K` or `313^(@)C`
Thus, the safety valve will blow up when the temperature exceeds `313^(@)C`.