Concept explainers
Perform the same computation as Sec. 24.1, but compute the amount of heat required to raise the temperature of 1200 g of the material from

To calculate: The amount of heat required of
Answer to Problem 1P
Solution:
The amount of heat required of
Explanation of Solution
Given Information:
Write the value of the provided temperatures.
Write the value of the provided mass of the material.
Write the value of the temperature increments.
Formula used:
Write the expression of heat required when temperature is increased.
And,
Write the expression of the heat capacity of the material, when temperature is increased.
The formula of the 1/3 Simpson’s rule for the number integration is as follows:
The formula of the 3/8 Simpson’s rule for the number integration is as follows:
Here,
Calculation:
Calculate the value of the of
For
For
For
For
For
For
Construct the table for heat capacity
Calculate the amount of heat required to increase the temperature of 1200g of material from
Use the integral in equation (1) by dividing the limits in two parts, that can be written as,
Consider the integral as follows:
Consider first part of the integral of
Solve the above integral by using Simpson’s 1/3rd rule.
Consider the second part of integral
Solve the above integral by using Simpson’s 3/8th rule.
Substitute
Substitute
Therefore, the heat required to increase temperature of the material by using Simpson’s ruleis
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Chapter 24 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
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