Ideal gas specific heat calculation

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SUMMARY

The discussion focuses on calculating the specific heat of an ideal gas, specifically carbon dioxide (CO2), using the equation involving the universal gas constant (R) and molecular mass (M). The user seeks clarification on the correct values for R and the coefficients a, b, c, and d from Table D11 for CO2. The correct molecular mass is identified as 44 g/mol, and the user highlights a potential misinterpretation of the coefficient d, which should be 2.002 x 10-9 instead of 2.002 x 109. The final specific heat value referenced is 516.9 kJ/kg.

PREREQUISITES
  • Understanding of ideal gas laws and specific heat calculations
  • Familiarity with the universal gas constant (R)
  • Knowledge of molecular mass and its significance in thermodynamics
  • Ability to interpret data from thermodynamic tables, specifically Table D11
NEXT STEPS
  • Research the universal gas constant (R) values for different gases
  • Study the derivation and application of specific heat equations for ideal gases
  • Learn how to accurately interpret coefficients from thermodynamic tables
  • Explore numerical integration techniques for calculating specific heats
USEFUL FOR

This discussion is beneficial for students in thermodynamics, chemical engineers, and anyone involved in calculating specific heat capacities of gases, particularly those working with carbon dioxide.

xzibition8612
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Homework Statement



See attachment "problem".

Homework Equations


See attachment "data"


The Attempt at a Solution



Can someone tell me what values to plug in for the equation R/M integral (a+bT+cT^2...). The solution doesn't show this step, so I have no idea the numbers they used to get to 516.9 kJ/kg.

I know M is the molecular mass (44g), don't know R (universal gas constant, there are several), and as to the a+bT+cT^2+dT^3 from table D11 I plug in the values of a, b, c, and d for CO2, plug in 800K and 300K and do the integral and get something to the 19th power...which obviously is wrong. Any help would be appreciated. Thanks.
 

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I'll bet you're reading the data wrong in ther table.

For example, d = 2.002 x 10-9, not 2.002 x 109.
 

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