A hot-air balloon is filled with air to a volume of 3.64 103 m3 at 745 torr and 39°C.?

Question

The air in the balloon is then heated to 60.°C, causing the balloon to expand to a volume of 4.50 103 m3. What is the ratio of the number of moles of air in the heated balloon to the original number of moles of air in the balloon? (Hint: Openings in the balloon allow air to flow in and out. Thus the pressure in the balloon is always the same as that of the atmosphere.)

i need a ratio as heated air over cool air

can teh pressure values stay in torr?

Answer 1

Principle: PV = nRT. Plug in, manipulate to show what you want as subject, and play.

Application here: n = PV/RT

n1/n2 = P1V1/T1 divided by P2V2/T2 (R cancels)

Substitute your numbers. Remember as always to express T as degrees K.

Answer 2

the controls are certainly quite straightforward. to strengthen the balloon, the pilot strikes a administration that opens up the propane valve. This lever works merely like the knobs on a gas grill or range: As you swap it, the bypass of gas will improve, so the flame grows in length. The pilot can improve the vertical velocity by potential of blasting a much bigger flame to warmth the air greater right away. To blast the burner, the pilot opens the propane valve. additionally, many warm air balloons have a administration that opens a 2nd propane valve. This valve sends propane with the aid of a hose that bypasses the heating coils. This shall we the pilot burn liquid propane, quite of propane in gas variety. Burning liquid propane produces a miles less helpful, weaker flame, yet is plenty quieter than burning gas. Pilots in many situations use this 2nd valve over livestock farms, to maintain from scaring the animals. warm air balloons also have a twine to open the parachute valve on the authentic of the envelope. while the pilot pulls the linked twine, some warm air can escape from the envelope, reducing the indoors air temperature. This reasons the balloon to gradual its ascent. If the pilot retains the valve open long sufficient, the balloon will sink.