Hot air balloons float by heating the air inside an inflatable compartment. Consider such a balloon which has an inflatable compartment of maximum volume 2250 m3 and a basket with passengers of total mass 240 kg.   a. How hot, in degrees Celsius, would the air inside the balloon have to get in order for the balloon to lift off the ground? Assume the molar mass of air is 28.97 g/mol and its density is 1.20 kg/m3.  b. When the balloon reaches the highest point of its flight (around 2000 m), the air pressure has dropped to 80% of the pressure at ground level, and the density has dropped to 85%. What temperature, in degrees Celsius, must the air in the balloon be to keep it floating at this altitude?

Q: A steel rod is 3.470 cm in diameter at 23.00°C. A brass ring has an interior diameter of 3.466 cm at…

A: A steel rod's diameter is 3.47cm and temperature is 23°C a bass ring diameter is 3.456cm. We have to…

Q: Q.5. What will be the volume expansion coefficient of a container made up of material with linear…

A: Given that, the coefficient of linear expansion is 12*10^-6/K.

Q: An airplane passenger has 110 cm3 of air in his stomach just before the plane takes off from a…

A: The objective of the question is to find the volume of air in the passenger's stomach at cruising…

Q: cylindrical tank has a tight-fitting piston that allows the volume of the tank to be changed. The…

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Q: A. how much pressure is in a cube of side 3m when it contains two moles of gas and is kept at a…

A: Volume of a cube = a3 = 27 m3 Using the equation for ideal gos : P.V = n R T P . 27 = 2 x 8.315 x…

Q: A 8.0-cm-diameter, 11-cm-long cylinder contains 0.39 g of nitrous oxide (N20). The cap on one end of…

A: The given values are, d=8.0 cm=0.08 ml=11 cm=0.11 mm=0.39 g=0.39×10-3 kgPa=100 kPa=100×103 PaF=184 N

Q: You accidentally lose your Helium-filled balloon which floats to the ceiling. The balloon is…

A: Radius of the balloon, R=6 inch 1 inch=0.0254 m 6 inches=0.1524 m Empty mass of the balloon, m'=10g…

Q: Four closed tanks, A, B, C, and D, each contain an ideal gas. The table gives the absolute pressure…

A: For an ideal gas, the ideal gas law is given as PV=nRTP is pressure of the gasV is its volumen is…

Q: Hot air balloons float because the air inside an inflatable compartment is heated. Consider such a…

A: Given that, the maximum volume of the balloon is V=2160m3 and the total mass of the basket and…

Q: A 1000.0 mL glass beaker is filled to the top with water. The filled beaker is placed onto a heating…

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Q: A high-pressure gas cylinder contains 50.0 L of toxic gas at a pressure of 1.25 × 107 Pa and a…

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Q: A hot air balloon uses the principle of buoyancy to create lift. By making the air inside the…

A: Let m be the mass of the air inside the balloon.

Q: P1. Consider a gas of oxygen atoms (µ0, = 32 g/mol). What should the temperature of the gas be for…

A: The mean square speed of oxygen atom is expressed by the following equation. Here, T represents the…

Q: Suppose you have two meter sticks, one made of steel and one made of invar (an alloy of iron and…

A: Introduction: Thermal expansion is the tendency of the body to change its size and shape in the…

Q: A balloon containing 2 moles of an ideal gas at 428.94 K. Another 1 mole of the ideal gas is added…

A: Given data:   Initially number of moles (n1) = 2 mol Initial temperature (T1) = 428.94 K Finally…

Q: A clown at a birthday party has brought along a helium cylinder, with which he intends to fill…

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Q: Suppose a gas-filled incandescent light bulb is manufactured so that the gas inside the bulb is at…

A: Using ideal gas law, absolute pressure when hot PVT=nRP2V2T2=P1V1T1P2=P1T1T2       V1=V2

Q: The glass beam 30.0 cm long and 1.50 cm in diameter. Assume the average coefficient of linear…

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Q: Calculate the work, in joules, that the man performs to cause the crate and himself to move up the…

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Q: A 1000.0 mL glass beaker is filled to the top with water. The filled beaker is placed onto a heating…

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Q: a) Calculate the final pressure of the ethane in the flask. b) How many grams of ethane was left in…

A: According to the given data,  Volume (V) = 3 litre = 3×10-3 m3; Molar mass (M) = 30.1 g/mol; Initial…

Q: 37. (a) What is the gauge pressure in a 25.0°C car tire containing 3.60 mol of gas in a 30.0 L…

A: Given, T0=25.00 Cn=3.60 molV0=60.0 L

Q: Consider a large 7 kg bass swimming in freshwater. The bass has a volume of 7L. When neutrally…

A: Mass of bass m=7 kg and volume V=7 L and the swim bladder takes up 7% volume of this bass.…

Q: Most automobiles have a coolant reservoir to catch radiator fluid that may overflow when the engine…

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Q: A glass flask whose volume is 1000.09 cm at 0.0° C is completely filled with mercury at this…

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Q: A clown at a birthday party has brought along a helium cylinder, with which he intends to fill…

A:

Q: P1. Consider a gas of oxygen atoms (µo2 = 32 g/mol). What should the temperature of %3D gas be for…

A: Given: Mean square speed of the atoms is v=100ms. Molar mass of oxygen atoms μO2=32gmol=0.032kgmol.…

Q: Suppose a gas-filled incandescent light bulb is manufactured so that the gas inside the bulb is at…

A: The initial temperature, Ti=20.0°C = 293.15 K The final temperature, Tf = 59.5°C = 332.65 K…

Q: A steel rod is 3.224 cm in diameter at 33.00°C. A brass ring has an interior diameter of 3.220 cm at…

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Q: A clown at a birthday party has brought along a helium cylinder, with which he intends to fill…

A:

Q: A steel rod is 2.899 cm in diameter at 28.00°C. A brass ring has an interior diameter of 2.896 cm at…

A: Given the diameter of steel rod and brass ring be Ds=2.899cm and DB=2.896cm. The common initial…

Q: A hot air balloon uses the principle of buoyancy to create lift. By making the air inside the…

A:

Q: A bicycle tire has a pressure of 6.20 x 10 N/m? at a temperature of 20.0°C and contains 1.60 L of…

A: Pressure inside bicycle tire Pi = 6.20×105 N/m² Initial temperature of tire = final temperature of…

Q: A 1.8-L cubic container contains 0.46 mol of a certain gas at 26 °C. What is the net force due to…

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Q: Assume a person has lungs that can hold V = 5.5 L of air (at 1 atm), and their body temperature is…

A: The objective of the question is to calculate the number of moles of air in the human lungs when…

Q: S. At a temperature of 22.20°C the hole in a steel plate has a diameter of 1.030 cm. If a steel rod…

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Ideal Gas Law

Ideal gas law states that the product of pressure and volume of a gas directly varies with the product of the number of moles, the universal gas constant, and the temperature of the gas.