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Q. 68

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 598

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Short Answer

In Problems 67 through 70 you are given the equation(s) used to solve a problem. For each of these, you are to

a. Write a realistic problem for which this is the correct equation(s).

b. Draw a pV diagram.

c. Finish the solution of the problem.

a) A realistic problem for which this is the correct equation is

"A gas in a hard container is at a temperature of 400oC and a pressure of 500 kPa. The container's internal pressure is decreased to 200kPa. Calculate the final temperature in degrees Celsius."

b) The required pV diagram is

c) The solution of the problem is -4 oC

See the step by step solution

Step by Step Solution

Part(a) Step1  : Given information

Part(a) Step2: Explanation

We have

From the ideal gas theory pV = nRT

An isothermal process, during which the system's temperature remains constant. An isobaric process, during which the system's pressure does not change. An isochoric process, during which the system's volume does not change.

The problem could be

According to the ideal gas law, pressure is proportional to temperature. As a result, while the volume is constant, the above equation indicates the relationship between pressure and temperature. "A gas in a hard container is at a temperature of 400oC and a pressure of 500 kPa . The container's internal pressure is decreased to 200 kPa. Calculate the final temperature in degrees Celsius."

part(b) Step 1: draw diagram

The diagram for the cycle can be drawn as below

part(c) Step1 : Solve the prblem

Solve the given equation

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