Question: Techniques of Integration II

Heat capacity is the amount of heat required to raise the temperature of a given mass of gas with constant volume by, measured in units of cal. / deg-mol. (calories per degree gram molecular weight). The heat capacity of oxygen depends on its temperature T and satisfies the formula

a) Find the average value of for and the temperature at which it is attained.

Given the above problem, provide written responses to address the following points as precisely and thoroughly as possible.

A. Explain the problem in your own words.

B. What mathematical concepts learned in this module apply to this problem?

C. Explain the steps you must take to solve this problem.

D. What is the most difficult aspect of solving this problem?

E. Explain exactly what the answer means from a mathematical perspective.