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:

Question

Dahlia Howell

Physics

10 January, 20:07

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:

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Steven Frank · Answer 1

To determine the temperature needed to fill the balloon with the gas, we need to relate volume and temperature assuming constant pressure. To simplify, we assume ideal gas. We calculate as follows:

V1/T1 = V2/T2

V1 = 3/4 (1700) = 1275

T1 = 10 + 273.15 = 283.15

V2 = 1700

T2 = V2T1 / V1

T2 = (1700) (283.15) / 1275

T2 = 377.53 K