The mass of a hot-air balloon and its cargo (not including the air inside) is 180 kg. The air outside is at 10.0°C and 101 kPa. The volume of the balloon is 520 m. To what temperature must the air in the balloon be warmed before the balloon will lift off? (Air density a 10.0°C is 1.244 kg/m.)
Q: The mass of a hot-air balloon and its cargo (not including the air inside) is 200 kg. The air…
A: For this given system, we have to find out the temperature at which the air in the balloon be warmed…
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Q: A pot of water is boiling under one atmosphere of pressure. Assume that heat enters the pot only…
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A: By, ideal gas equation PV = nRT 1.01×105×2.8×5.2×6.7 = n×8.3×(273+21) n = 4037.68 moles
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A: given,v=633 m3ρ0=1.29 kg/m3M=361 kgP=1.01×105 pa
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Q: A clown at a birthday party has brought along a helium cylinder, with which he intends to fill…
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Q: cook puts 9.80 g of water in a 2.00-L pressure cooker that is then warmed to 540°C. What is the…
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Q: A clown at a birthday party has brought along a helium cylinder, with which he intends to fill…
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Q: An automobile tire is inflated with air originally at 10.0°C and normal atmospheric pressure. During…
A: a. According to the ideal gas equation, PiViPfVf=TiTf
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- An aluminum wire is wrapped in rubber insulation. Both are subject to thermal expansion, with the following coefficients of linear expansion: alphaa=24· 10−6 1/C and alphar=8· 10−5 1/C . If the wire and insulation are the same length of 1.85m at a temperature of20.00°C, what is the difference in length (in MILLIMETERS) between the copper wire and the rubber insulation when heated up to a temperature of 189.00°C? Express a magnitude only (no negatives!). ______mm (MILLIMETERS!)Step 1 (a) The ideal-gas equation describes each condition of the air in the tire. We will set up ratios in order to describe these changes. Dividing the equations PV = nRT in the initial and final states, we have PfVf Tf P¡Vi Ti Solving for the final pressure in the tire, gives Pf = = = which gives I Tf P(V)() P₁ Vf T₁ = (1.013 x 105 Pa) x 105 Pa. Note that the volume V¡ cancels out of the equation. = Vf Po = Pr (V ( ) ( ) Pd Pf Vi V₁ Step 2 (b) After the car is driven, the temperature and volume of air in the tire have changed. Let Td be the temperature and Vd be the volume of air in the tire. We have PdVd Td PfVf Tf' x 105 Pa 273 + 273 + Vf Vf Again we see that the volume Vf cancels out of the equation. °C K °℃ K = x 105 Pa.You are given a frozen sample of an unknown substance. The sample has a temperature of 4K and a mass of 10g. You put the frozen sample in a closed container of volume 10L and heat it slowly to 120degC. At this point, the complete sample has evaporated and is in the gas phase. You measure a pressure of 117kPa inside the container. Which substance is it?
- A bubble having a diameter of 62 cm is re- leased from a depth of 4.6 m from the bottom of a swimming pool. The temperature of the water at the surface is 21°C, whereas it is 15°C at the point of release. What will the diameter of the bubble be when it reaches the surface? The acceleration of gravity is 9.8 m/s² and the density of water is 1000 kg/m³. Answer in units of cm.A steel rod and a bronze rod are heated. At zero degree Celsius, the steel rod has a Ls and the bronze rod has a length of Lb. When the rods are heated or cooled, the difference between their length stays constant at 5.00 cm. Determine the values of Ls and Lb.A Goodyear blimp typically contains 5300 m of helium (He) at an absolute pressure of 1.10 x 10 Pa. The temperature of the helium is 275 K. What is the mass (in kg) of the helium in the blimp? Number Units the tolerance is +/-2%
- A certain amount of gas at 25.0°C and at a pressure of 0.650 atm is contained in a glass vessel. Suppose that the vessel can withstand a pressure of 2.00 atm. How high can you raise the temperature of the gas without bursting the vessel? In other words, at what temperature will the glass vessel shatter, in degrees Celsius.Twenty-five milliliters of liquid nitrogen (density = 0.807 g/mL) is poured into a cylindrical container with a radius of 10.9 cm and a length of 20.3 cm. The container initially contains only air at a pressure of 760.0 mmHg (atmospheric pressure) and a temperature of 298 K. If the liquid nitrogen completely vaporizes, what is the total force (in lb) on the interior of the container at 298 K ? ΜΕ ΑΣΦ ? F = lbA hot air balloon uses the principle of buoyancy to create lift. By making the air inside the balloon less dense then the surrounding air, the balloon is able to lift objects many times its own weight. A large hot air balloon has a maximum balloon volume of 2090 m3. a. If the air temperature in the balloon is 54 °C, how much additional mass, in kilograms, can the balloon lift? Assume the molar mass of air is 28.97 g/mol, the air density is 1.20 kg/m3, and the air pressure is 1 atm.
- A biology experiment requires the preparation of a water bath at 37.0°C (body temperature). The temperature of the cold tap water is 22.0°C, and the temperature of the hot tap water is 55.0°C. If a student starts with 90.0 g cold water, what mass of hot water must be added to reach 37.0°C?Warm air flows through a rectangular, uninsulated heating duct in your cold attic during the winter. The air has a mass flow rate of 0.47 kg/sec, and the heating duct has dimensions of 20.0cm by 28.0cm with a length of L = 9.60m. The inlet temperature of the air is 42.0°C, at a pressure of 1.00 atm. Your cold attic keeps the surface temperature of the duct at a temperature of 8.0°C. Find the heat transfer rate.Before leaving on a trip to Melbourne Beach, Florida, you measure the pressure inside the tires of your car at a gas station. At – 7.5 C (chilly!), the tire pressure is 206.5 kPa. When you arrive in Florida, you check the tire pressure and find it is now 236.5 kPa. What is the temperature in Melbourne Beach?