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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

1-x1+x

Prove theorem 14.3. Hint: Group the terms in the error as role="math" localid="1657423688910" (an+1+an+2)+(an+3+an+4)+⋯to show that the error has the same sign as role="math" localid="1657423950271" an+1.Then group them asrole="math" localid="1657423791335" an+1+(an+2+an+3)+(an+4+an+5)+⋯to show that the error has magnitude less than|an+1|.

Solve for all possible values of the real numbers xand y in the following equations.x+iy=(1-i)2

∑n=1∞(-1)nn3xn

ecosx-1. Hint:ecosx=e⋅ecosx-1
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