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Question: Assume you can prove that for our simple atomic model of an ideal gas the pressure P = 1/3 ρ<v>2 , where ρ is the density of the gas and <v>2, is the average of the square of the velocity of the gas molecules.
a. Use the ideal gas law to derive a relation between the temperature of this gas (measured in kelvins) and the average kinetic energy of a gas molecule.
b. If the gas is helium (M = 4u), what is the value of the average kinetic energy of a helium atom at room temperature?
c. If the gas consisted of oxygen molecules (M = 32), what would be the average kinetic energy of a molecule at room temperature? Explain your answer.
A spaceship is 1600 m long when it is at rest. When it is traveling at a certain constant speed its length is measured by external observers and it is found to be 795 m. How much time does the roast beef spend in the oven
An amplifier is required to give a current gain of Ai= 50 ± 1.5%. The source resistance is Rs= 100 kΩ, and the load resistance is RL= 100 Ω. Determine the design specifications of the amplifier.
a hollow sphere has a mass of 15kg, an inner radius of 12cm and an outer radius of 18cm. What is the rotational inertia of the sphere
A 145 g copper bowl contains 205 g of water, both at 20°C. A very hot 300 g copper cylinder is dropped into the water, causing the water to boil, with 5.40 g being converted to steam.
a group of hikers hears an echo 4.00 s after shouting. if the temperature is 18.0degc how far away is the mountain that
two wires are welded together end to end. the wires are made of the same material, but the diameter of one is twice that of the other. what is the length of the thick wire
An aircraft carrier has a speed of 13 m/s relative to the water. What is the frequency of the sound heard by the crew on the ship
One type of slingshot can be made from a length of rope and a leather pocket for holding the stone. Determine the angular speed of the stone at the moment of release
A ball is thrown off a cliff, 100 meters tall, with an initial velocity of 5.00 m/s, which is purely in the horizontal direction. How long does it take the ball to hit the ground below the cliff
Each shot of the laser gun most favored by Rosa the Closer, the intrepid vigilante of the lawless 22nd century, Find the electric potential energy of the original capacitor when it is charged
Bowling balls can be made from a variety of substances and are required to have a circumference of roughly 27.0 inches. calculate the thickness of the shell
The position of a particle is given by the expression x = 2.00 cos (2.00?t + ?), where x is in meters and t is in seconds. Determine the phase constant
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