If the heat capacity of a substance is correctly represented by an equation of the form, show that the error resulting when is assumed equal to evaluated at the arithmetic mean of the, initial and final temperatures is

What will be an ideal response?


For consistency with the problem statement, as

where

DefineCPam as the value of CP evaluated at the arithmetic mean temperature

Then:



Where



Whence,



Define ? as the difference between the two heat capacities:



This readily reduces to: yields the required answer.

Trades & Technology

You might also like to view...

In assembly modeling, ____________________ means that if you change the geometry of a part, the component and all instances of it also will change by the same amount.

Fill in the blank(s) with the appropriate word(s).

Trades & Technology

In the accompanying figure, what is another name for angle 1?

A. angle EDF B. angle FAB C. angle DCB D. angle BCD

Trades & Technology

Plumbing down from batter board strings is done to locate the __________.

What will be an ideal response?

Trades & Technology

The world leader in wool production is easily:

A. Brazil B. India C. New Zealand D. United States E. Australia

Trades & Technology