A toy balloon blown up at 5^(@)C has a volume of 480 mL. At this stage, the balloon is distended to 7/8th of its maximum stretching capacity. (i) Will the balloon burst if it is brought to a room having temperature 30^(@)C? (ii) Calculate the temperature at which the balloon will burst.

A toy balloon blown up at 5^(@)C has a volume of 480 mL. At this stage

1.	A toy balloon blown up at 5^(@)C has a volume of 480 mL. At this stage, the balloon is distended to 7/8th of its maximum stretching capacity. (i) Will the balloon burst if it is brought to a room having temperature 30^(@)C? (ii) Calculate the temperature at which the balloon will burst.
Answer» Solution :Since the pressure remains constant, Charles LAW is applicable, `(V_(1))/(T_(1))=(V_(2))/(T_(2))` `"or"V_(2)=(V_(1)T_(2))/(T_(1))` `""V_(2)=(480xx303)/(278)` `"or"V_(2)=(480xx303)/(278)` `"or"V_(2)=523mL` Maximum volume upto which the balloon balloon can be blows without bursting `=(480xx8)/(7)=548.6mL` `therefore"Balloon will not burst in a room at "30^(@)C.` (ii) Let us calculate the temperature at which volume becomes `"548.6 ml "(V_(2))` `(V_(1))/(T_(1))=(V_(2))/(T_(2))` `"or"T_(2)=(V_(2)T_(1))/(V_(1))` `T_(2)=(548.6xx278)/(480)=317.7K` `therefore"Balloon will butst at 317.7 K or "44.7^(@)C`.