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Chapter 3: Q27E (page 611)

(a) What is the total translational kinetic energy of the air in an empty room that has dimensions 8.00 m * 12.00 m * 4.00 m if the air is treated as an ideal gas at 1.00 atm? (b) What is the speed of a 2000-kg automobile if its kinetic energy equals the translational kinetic energy calculated in part (a)?

Short Answer

Expert verified
  1. Kinetic energy of the air is
  2. Speed of an automobile is

Step by step solution

01

Kinetic Energy

The average kinetic energy of ideal gas is


The ideal gas equation is PV = nRT

Therefore,


Hence, the kinetic energy of air in an empty room is

02

Speed of an automobile

As the kinetic energy of a moving object is

The speed of a 2000kg automobile is

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