Changes in the heat capacity at constant pressure with temperature can be modeled as: CP,m = a + b × T + c/T^2. A. What are the units of a, b, and c?  B. For nitrogen gas, a = 28.58, b = 0.00377, c = -50,000. What is the heat capacity at 600 °C? C. Calculate the heat required to heat 951 mol of N2 gas from 25 °C to 600 °C using the equation for heat capacity from pt. b. Hint:  ∆q=N∙ ∫ CP,m∙∂T (integral goes from 25 °C to 600 °C)

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Changes in the heat capacity at constant pressure with temperature can be modeled as:
CP,m = a + b × T + c/T^2.
A. What are the units of a, b, and c? 
B. For nitrogen gas, a = 28.58, b = 0.00377, c = -50,000. What is the heat capacity at 600 °C?
C. Calculate the heat required to heat 951 mol of N2 gas from 25 °C to 600 °C using the equation for heat capacity from pt. b.

Hint: 
∆q=N∙ ∫ CP,m∙∂T (integral goes from 25 °C to 600 °C)

Expert Solution
Step 1

Given:

CP,m = a + b × T + c/T2.

a = 28.58,

b = 0.00377,

c = -50,000. 

N= 951 mols

Temperature range: 25 °C to 600 °C

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