The equation CP=a+bT+cT²+dT³
is an empirical polynomial that describes the behavior of the heat capacity CP as a function of temperature in kelvins. The change in enthalpy (a measure of energy) as a gas is heated from T1 to T2 is the integral of this equation with respect to T :
Δh=∫ᵀ²ₜ₁CPdT
Find the change in enthalpy of oxygen gas as it is heated from 300 to 1000 K, using the MATLAB ⊕ quadrature function integral. The values of a,b,c, and d for oxygen are as follows:
a=25.48
b=1.520×10⁻²
c=−0.7155×10⁻⁵
d=1.312×10⁻⁹
