Thermodynamics problem- isobaric process

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SUMMARY

The discussion focuses on solving a thermodynamics problem involving an isobaric process for one mole of an ideal monatomic gas. The initial state A has a volume of 0.0208 m³ and a pressure of 1.22 × 105 Pa, while state C has a volume of 0.0524 m³. The molar heat capacities are given as 20.8 J/mol·K and 12.5 J/mol·K. The key equations used are W = pΔV and Q = ΔU + W, with the user needing to calculate the change in internal energy (ΔU) using ΔU = CVΔT.

PREREQUISITES
  • Understanding of ideal gas laws
  • Knowledge of thermodynamic processes, specifically isobaric processes
  • Familiarity with molar heat capacities (CV and CP)
  • Ability to apply the first law of thermodynamics
NEXT STEPS
  • Calculate ΔU for an ideal gas using ΔU = CVΔT
  • Explore the relationship between work done and volume change in isobaric processes
  • Learn about the implications of heat transfer in thermodynamic cycles
  • Investigate the properties of monatomic gases and their heat capacities
USEFUL FOR

Students studying thermodynamics, particularly those focusing on ideal gases and heat transfer processes, as well as educators looking for examples of isobaric processes in thermodynamic cycles.

mrdith007
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Homework Statement




One mole of an ideal monatomic gas is taken through the cycle ABCA shown schematically
in the diagram. State A has volume 0.0208 m3 and pressure 1.22 × 10 5 Pa, and state C has volume 0.0524 m3 Process CA lies along the 305 ±1 K isotherm. The molar heat capacities for the gas are 20.8 J/mol · K and 12.5 J/mol · K.

Determine the heat Qab added to the gas during process AB.
Answer in units of J

I have attached an image with the graph. I am not sure if it is necessary. I got the correct answer to the first question (the new temp = 768.365 K)

Homework Equations



W = p\DeltaV
Q = \DeltaU + W

The Attempt at a Solution



I do not know how to calculate the U, which I think I need
 

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\Delta U = C_V \Delta T for an ideal gas.
 

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