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» <html><body><p></p>Solution :Since the pressure remains constant, Charles <a href="https://interviewquestions.tuteehub.com/tag/law-184" style="font-weight:bold;" target="_blank" title="Click to know more about LAW">LAW</a> is applicable, <br/> `(V_(1))/(T_(1))=(V_(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>))/(T_(2))` <br/> `"or"V_(2)=(V_(1)T_(2))/(T_(1))`<br/> `""V_(2)=(480xx303)/(278)` <br/> `"or"V_(2)=(480xx303)/(278)` <br/>`"or"V_(2)=523mL` <br/> Maximum volume upto which the balloon balloon can be blows without bursting <br/> `=(480xx8)/(<a href="https://interviewquestions.tuteehub.com/tag/7-332378" style="font-weight:bold;" target="_blank" title="Click to know more about 7">7</a>)=548.6mL` <br/> `therefore"Balloon will not burst in a room at "30^(@)C.` <br/> (ii) Let us calculate the temperature at which volume becomes `"548.6 ml "(V_(2))` <br/> `(V_(1))/(T_(1))=(V_(2))/(T_(2))` <br/> `"or"T_(2)=(V_(2)T_(1))/(V_(1))` <br/> `T_(2)=(548.6xx278)/(480)=317.7K` <br/> `therefore"Balloon will butst at 317.7 K or "44.7^(@)C`.</body></html>