# A certain balloon will burst at a volume of 2 liters. If it is partially filled at a temperature of 293 K...?

A certain balloon will burst at a volume of 2 liters. If it is partially filled at a temperature of 293 K and a pressure of 750 torr to occupy a volume of 0.75 liters, what is the temperature at which it will burst if the pressure is 755 torr at the time it breaks?

We use the equation

p1V1 / T1 = p2V2 / T2

p1 = 750 / 760 = 0.987 atm ; V1 = 2 L ; T1 = 293 K

p2 = 755 /760 = 0.993 atm ; V2 = 0.75 L ; T2 =?

0.987 x 2 / 293 = 0.993 x 0.75 / T2

0.00674 = 0.745 / T2

T2 = 110 K = - 162 °C

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**Answer:**We use the equation

p1V1 / T1 = p2V2 / T2

p1 = 750 / 760 = 0.987 atm ; V1 = 2 L ; T1 = 293 K

p2 = 755 /760 = 0.993 atm ; V2 = 0.75 L ; T2 =?

0.987 x 2 / 293 = 0.993 x 0.75 / T2

0.00674 = 0.745 / T2

T2 = 110 K = - 162 °C

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