Problem 18 Calculate the root mean square velocity and kinetic energy of CO, CO2

Question

Problem 18

Calculate the root mean square velocity and kinetic energy of CO, CO2, and SO3 at 258K .

Part A

Calculate the root mean square velocity of CO at 258K .

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Part B

Calculate the root mean square velocity of CO2 at 258K .

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Part C

Calculate the root mean square velocity of SO3 at 258K .

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Part D

Calculate the kinetic energy of CO at 258K .

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Part E

Calculate the kinetic energy of CO2 at 258K .

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Part F

Calculate the kinetic energy of SO3 at 258K .

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Part G

Which gas has the greatest velocity?

Which gas has the greatest velocity?

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Part H

The greatest kinetic energy?

The greatest kinetic energy?

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Part I

The greatest effusion rate?

The greatest effusion rate?

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Explanation / Answer

RMS velocity= sqrt(3RT/M)

CO , CO2, SO3 masses are 28,44,80 respectively

PART A ) CO RMS = 15.15 m/s

PART B ) CO2 RMS = 12.09 m/s

PART C) SO3 RMS = 8.96 m/s

PART (D , E, F)   average KE= 3KT/2

                                                = 3x 1.38 x10^-23 x258/2

                                                 = 534.06 x10^-23 J

PART G ) CO

PART H) all molecules have the same kinetic energy

PART I) CO

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