To understand some aspects of molecular motion in the gus phase. The kinetic mol

Question

To understand some aspects of molecular motion in the gus phase. The kinetic molecular theory of gases explains how gas molecules behave in of mosan, speed, and energy. One important aspect of this theory deals with the relationship between temperature and the average speed of the gas molecules. Increasing the temperature of a gas sample increases the average kinetic energy of the molecules. The kinetic energy of a molecule determines its speed it is important to realize that not all molecules in a sample will have the same kinetic energy, which is why we refer is the average energy and the average speed. The speed of a particle with average kinetic energy is called the road mean square (ms) speed u_max. The ms speed may be expressed by the following equation: u_max = Squareroot where R is the ideal gas constant T is the absolute temperature, and M is the molar mass of the substance in kilograms per mode. The constant motion of gas molecules causes diffusion and Diffusion is the gradual mixing of two substances resulting from the movement of their particles. Effusion is the gradual of gas molecules through microscopic holes in their container. Which of the following statements are true? The temperature of a gas sample is related to the average kinetic energy. There are gas molecules that move slower than the average. The average speed of gas molecules is independent of temperature The average kinetic energy of gas molecules decreases with decreasing temperature The average speed of gas molecules increases with increasing temperature.

Explanation / Answer

Part A

1) true. as the temperature increases the average kinetic energy increases also. so more warmer the sample more the kinetic energy.

2) True. the molecules may have higher or lower speed then the average value.

3) False. the average speed or vrms depends on the temperature as suggested by the above expression also.

4) True. average kinetic energy increases or decreases with rise and fall of temeprature, as the average speed increases or decreases with temperature according to expression of vrms.

5) True. average speed of gas molecules (vrms) is directly related to (T)1/2 , hence it will increase with rise of temperature.

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