Numerical Integration of Calorimetric Data

Let y = (P et + Px) i Iand x = ATIfiTfAt, where y has units of WK and x has units of K s . This gives a straight-line form for the differential equation 

The substitution x = xHCpM, where CpM is an estimated value for C M, gives y, x and kj( the same units (WK ), thus 

Multiplying Equation (13.8) by 10 removes the large exponents for each term, and numerical integration over a selected time period yields 

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