A football player kicks a ball, compressing it to 80.0% of its original volume. The football has an inside diameter of 23.9cm, is filled to a pressure of 2.00atm with N2, and has an initial temperature of 20.0°C. (a) Assuming adiabatic compression, what temperature does the air in the ball reach? (b) What is the change in internal energy of the air in the football?

A football player kicks a ball, compressing it to 80.0% of its original volume. The football...
A soccer player kicks a football on a football field. The initial velocity of the ball has a magnitude of 12ms-1 and makes an angle of 20° with the horizontal. How far will the football be from its initial position when it hits the field again?
In a football training, the player is kicking the ball towards a round-shaped object. First he weeks his coach to decide the radius of the round object, X, which has a exponential distribution with parameter . After this, He kicks the football towards a random point inside the round object (assuming that the ball is so small with respect to the object that the ball can hit every point on the object). Define random variable R as the distance between...
6. One can store energy by compressing air, and then later use it to power a turbine to create energy when needed However, you have to heat the room temperature compressed air to make this effective. You can avoid this if you initially compress the air under adiabatic conditions, so the gas is already hot when you need it to generate electricity This is called adiabatic compressed air energy storage (CAES). Inside a typical power plant, 5.8x10° kg of N2...
A cylinder of mass (m) and initial volume (V1) that contains (N) number of gaseous argon atoms of temperature (T1) is slid across a frictionless floor at velocity (v) until it collides with a wall. When it collides with the wall the cylinder compresses the gas inside adiabatically to volume (V2). There is no recoil from the collision and the compression continues until the cylinder stops sliding. 1) Calculate the work done on the gas during the adiabatic compression. (Final...
A compressor is used to charge the supersonic wind tunnel air tanks at the Aerodynamics Research Center. The tanks have a total volume of 40 m3. Air is inspired at ambient pressure (101 kPa) and temperature (293 K) in a conduit with a diameter of 40 cm at an average velocity of 10 m/s. Assuming that the losses in the system are negligible, determine: (a) the rate of change of the mass of air inside the tanks; (b) the rate...
Part 1: Air at 1 atm and 200° C occupies an initial volume Vi of 1000 cm3 in a cylinder. The air is confined by a piston which has a constant restraining force so that the gas pressure remains constant. Heat is added to the air until its temperature reaches 2600° C. Calculate the heat added Calculate the work done by the gas Calculate the change in internal energy of the gas Part 2: An ideal gas is contained in...
Q-1 Air at 1 atm and 20 0C occupies an initial volume of 1000 cm3 in a cylinder. The air is confined by a piston which has a constant restraining force so that the gas pressure always remains constant. Heat is added to the air until its temperature reaches 260 0C. Calculate (a) the heat added (b) the work done by the gas, (c) the change in internal energy of the gas. Q-2 An ideal gas is contained in a...
A) Calculate the final temperature, in degrees Celsius, if n and V do not change. A sample of air at 50. ∘C and 750. mmHg is cooled to give a pressure of 710. mmHg. B) A cylinder, with a piston pressing down with a constant pressure, is filled with 2.10 moles of a gas (n1), and its volume is 50.0 L (V1). If 0.500 mole of gas leak out, and the pressure and temperature remain the same, what is the...
1. A sample of gas with an initial volume of 28.4 L at a pressure of 735 mmHg and a temperature of 309 K is compressed to a volume of 14.5 L and warmed to a temperature of 377 K .What is the final pressure of the gas? 2. A cylinder with a moveable piston contains 216 mL of nitrogen gas at a pressure of 1.29 atm and a temperature of 292 K .What must the final volume be for...
Air in a cylinder is compressed to one-tenth of its original volume without change in temperature. What happens to its pressure? Imagine now that a valve is opened in order to restore the initial pressure value. What percentage of the molecules have escaped? Consider a 40,000 km steel pipe in the shape of a ring that fits snuggly all around the circumference of the Earth. We are heating now the ring so its temperature increased by 1 degree C. Now,...