Molar Heat Capacity at Constant Pressure Understanding

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SUMMARY

The molar heat capacity at constant pressure (Cp) for an ideal gas can be calculated using the formula Cp = Q / (n * ΔT). In this discussion, 200 J of energy is applied to 4 moles of gas, resulting in a temperature increase of 4 K. The calculation yields Cp = 12.5 J K⁻¹ mol⁻¹, confirming the correct application of the formula. The final unit should be expressed as J K⁻¹ mol⁻¹.

PREREQUISITES
  • Understanding of the ideal gas law
  • Familiarity with thermodynamic concepts
  • Knowledge of heat transfer principles
  • Basic algebra for calculations
NEXT STEPS
  • Study the ideal gas law and its applications
  • Explore the concept of heat capacity in thermodynamics
  • Learn about the differences between Cp and Cv (molar heat capacity at constant volume)
  • Investigate real gas behavior and deviations from ideality
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Students in thermodynamics, chemistry enthusiasts, and professionals in engineering fields focusing on heat transfer and gas behavior.

grscott_2000
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If I apply 200 J of energy as heat to 4 moles of an ideal gas at constant pressure and the temperature rises by 4 K, then the molar heat capacity at constant pressure will be

Cp = Q / (n * deltaT) = 200 / (4 x 4) = 12.5 J K mol

Am I on the right lines here?
 
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Yes. But it is J / (k mol).
 

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