Exam 19: Ideal Gases

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Suppose you had two atomic gases that react to form a diatomic gas A + B →\rarr AB.Suppose you perform this reaction with 1 mole each of A and B in a thermally isolated chamber so no heat is exchanged with the environment.The temperature of the final system

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What is the approximate energy required to heat 3 liters of air at standard temperature and pressure by 125 ∘\circ C? The volume is held constant.

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A cylinder containing nitrogen gas is at room temperature (300 K).If the pressure of the gas container is held constant and the gas is heated,such that 2.15 * 104 J of energy is transferred by heat to the gas;the temperature of the gas increases by 80 K.How many moles of gas are in the container?

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In a period of 6.00 s,6.00 * 1023 oxygen molecules strike a wall with an area of 2.00 cm2.If the molecules move with a speed of 400.0 m/s and strike the wall head-on in elastic collisions,what is the pressure exerted on the wall? (The mass of one O2 molecule is 5.344 * 10-26 kg.)

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Helium gas is filled in a balloon of diameter 30 cm at 20 ∘\circ C and 1 atm pressure.The number of atoms of helium gas filled in the balloon is

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Two containers of equal volume contain different ideal gases at the same temperature and pressure.It follows that

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An ideal gas An ideal gas   with a pressure of 1.00 atm at room temperature (300 K)is compressed from 500.0 cm<sup>3</sup> to a final volume of 58.4 cm<sup>3</sup>.The compression is adiabatic.What final pressure of the gas? with a pressure of 1.00 atm at room temperature (300 K)is compressed from 500.0 cm3 to a final volume of 58.4 cm3.The compression is adiabatic.What final pressure of the gas?

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A cylinder with a piston contains 2.00 liters of an ideal diatomic gas at 1.00 atm and 275 K.The gas is subject to an adiabatic compression from its initial volume to 1/4 its initial volume.What is the temperature after the compression?

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A scuba diver exhales,releasing a spherical bubble of gas with a diameter of 10 cm.The bubble floats towards the surface maintaining its spherical shape.When the bubble is 1.0 m below the surface,its diameter is 16 cm.How far below the water's surface is the diver?

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There are two vessels;one contains twice as many molecules as the other but has the same volume.

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The temperature of an ideal gas is doubled (in K)and its volume is decreased to 25% of its original value.How is the pressure affected?

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An ideal gas is in a 1.00-m3 box at a gauge pressure of 210 kPa and a temperature of 295 K.It is then allowed to undergo free expansion into an adjacent 2.00-m3 box,so the total volume is now 3.00 m3.Find the new gauge pressure once a new equilibrium is reached.The pressure outside the box is standard atmospheric pressure,101.3 kPa.

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Suppose you have a pot filled with steam at 110 ∘\circ C and at a pressure of 1 atm.The pot has a 20 cm diameter and is 15 cm high.You place a heavy stone on the lid,so that the combined mass of the lid and stone is 45 kg.How hot do you need to heat the steam to lift the lid off the pot?

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When is the root-mean-squared speed of a collection of molecules equal to its average speed?

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For an ideal gas,the temperature measured in degrees Celsius is proportional to

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A scuba diver at a depth of 20 m exhales,releasing a spherical bubble of gas with a diameter of 10 cm.The bubble floats towards the surface and assuming that it maintains its spherical shape,what is its diameter when it is 1.0 m below the surface?

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Nuclear fusion is achieved by fusing hydrogen isotopes at high temperatures of the order of 109 K.The average kinetic energy of deuterium,one of the isotopes of hydrogen,at this temperature is

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Two moles of helium are initially at 23 ∘\circ C and 1 atm.The work done by the gas at constant pressure when the volume is doubled is

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A tank of gas consisting of 40% O2 and 60% Ar and volume of 2 m3 is moved from storage at 20 ∘\circ C to the outside on a sunny day.Initially the pressure gauge reads 1200 psi After several hours the pressure reads 1600 psi.What is the new temperature of the gas in the tank?

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What is the rms speed for a collection of helium-3 atoms at 47 degrees Celsius in a container with a volume of 5.0 liters?

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