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Bonus Exercise: Kinetic Energy and Speed You will sketch and compare the distrib

ID: 494279 • Letter: B

Question

Bonus Exercise: Kinetic Energy and Speed You will sketch and compare the distributions for kinetic energy and speed for heavy and light particles at two different temperatures in Table 2. Volume is set as a Constant Parameter PROCEDURE 1. Click on the "Reset" button, then select Volume for the Constant Parameter seen at the right. 2. Set the gas in the chamber to be 100 heavy species and 0 light species. 3. Click on the "Measurement Tools" button, and then check the boxes for species information" and energy histograms". Two windows should open named "gas properties" and "particle statistics 4. Sketch the kinetic energy and speed distributions at 300K in Table 2 (given below). Then write the average speed seen in the gas properties window in the indicated spot in Table 2. 5. Slowly raise the temperature from 300K to 800 K. 6. sketch the kinetic energy distributions at 800K in Table 2 (given below).Then write and speed the average speed seen in the gas properties window in the indicated spot in Table 2.

Explanation / Answer

1) For the heavy and light particles at the same temperature, 800K...the speed distribution will be high for lighter molecule than for heavier molecule.  This is due to the mass difference between the two types of molecules. First, let's us consider the definition of mass, This means that an object with greater mass is harder to move an object with less mass. Therefore, gas molecules with greater mass require more energy to travel at the same speed than molecules with less mass.

2.a) Kinetic Energy:

Hence...higher the temperature...more will be the kinetic energy...

b) No, Speed distribution will not be same...because higher the temperature...particle will be more active and will have higher speed than lower temperature

3)  This is due to the mass difference between the two types of molecules. First, let's us consider the definition of mass. It is the property of an object that measures its resistance to movement. This means that an object with greater mass is harder to move an object with less mass. Therefore, gas molecules with greater mass require more energy to travel at the same speed than molecules with less mass.

Here's an equation for the kinetic energy held by gas particles:
KE = 1/2 m v^2
where m=mass, v=velocity, and KE=kinetic energy.

The kinetic energy of a gas particle is a number determined by the temperature of the surroundings. Let's consider the scenario where there are two types of gases present in a room with a constant temperature. Both gases would acquire the same amount of kinetic energy, however, heavier molecules require a greater amount of make it move. Therefore, the velocities the heavier molecules would be less than the velocities of the lighter molecules!