A hot air balloon uses a gas flame to heat the air it contains to a temperature required to enable it to hover at a small distance above ground level. The mass of the balloon, ropes, basket and riders is 240 kg and the volume of the balloon is 1100 m³. The temperature of the surrounding air is 15°C and its density is 1.23 kg m-³. To what temperature does the air in the balloon need to be heated? [5]
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- 9.00 kg of ice at -4.30°C is added to a cooler holding 30 liters of water at 20.0°C. What is the temperature of the water when it comes to equilibrium?Scientists experiment with a balloon near a Himalayan fresh water lake at an altitude of 5000 m where atmospheric pressure is half of that at sea level. The temperature of the lake is uniform with depth and identical to the air at the surface of the lake. To what depth should a balloon be taken under the lake to reduce its volume by a factor of 4? answer: 20m(a) How many molecules are present in a sample of an ideal gas that occupies a volume of 1.90 cm3, is at a temperature of 20°C, and is at atmospheric pressure? molecules (b) How many molecules of the gas are present if the volume and temperature are the same as in part (a), but the pressure is now 1.80 ✕ 10−11 Pa (an extremely good vacuum)? molecules
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