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Q. 28

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 544

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Short Answer

The volume of a gas is halved during an adiabatic compression

that increases the pressure by a factor of 2.5.

a. What is the specific heat ratio ?

b. By what factor does the temperature increase?

a. The specific heat ratio is 1.32.

b. The temperature increase ration is 1.25.

See the step by step solution

Step by Step Solution

Step 1: Formation of the base of the formulas

(a )The quantity remains same for an adiabatic process which means (considering two states as 1 and 2),

(b) As of the ideal gas law,

When, it is dealt with same amount of gas. This can written as,

Step 2: Solve of the problems

(a) is given parametrically, so, to find the substitute, as of the equation (1),

(b) Let's the needed ratio be X.

So,

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