Question

A balloon has a maximum capacity of 1700 m3. On a cool morning (temperature = 10°c, some hot-air balloonists start filling their balloon with air until it occupies three-fourths of the maximum possible volume. Then, they turn on the propane burner to fill the balloon to its complete volume of 1700 m3. The temperature at which the air fills the balloon to its maximum capacity is:

Answer 1

V1/T1 = V2 / T2

V1 = 3/4(1700) = 1275

T1 = 10 + 273.15 = 283.15

V2 = 1700

T2 = V2T1

T2 = (1700) (283.15) / 1275

T2 = 377.53 K