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Chapter 1: Q28P (page 1)

To prove that

Short Answer

Expert verified

The equation has been proved.

Step by step solution

01

Given data

The given values are

02

Concept of Partial Differentiation

The process of finding the partial derivative of a function is called partial differentiation. In this process, the partial derivative of a function with respect to one variable is found by keeping the other variable constant.

The formula to find the Partial derivative is given by:

03

Calculation to find the value of  CP - Cv

As it's known that and dQ = dU + PdV and PV = nRT .

The specific heat is given as

So, the value of P can be written as:

Similarly, for the value of V as follows:

04

Put the values in the gas equation PV=nRT

Substitute the value of PV in the gas equation as follows:

This is the specific heat in thermodynamics.

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Most popular questions from this chapter

鈭�0xcos2dt

Use Maclaurin series to evaluate each of the following. Although you could do them by computer, you can probably do them in your head faster than you can type them into the computer. So use these to practice quick and skillful use of basic series to make simple calculations.

limx鈫�0sinx-xx3 .

鈭�0xsintdtt

Test the following series for convergence.

4.鈭�n=1鈭�(鈭�3)nn!

Show that24-x=1+18xwith an error less than132for 0<x<1. Hint: Let x=4y , and use the theorem (14.4) .
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