Isothermal expansion and final pressure

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SUMMARY

The discussion centers on the isothermal expansion of a monatomic ideal gas at 300K, where the volume increases from 0.09m3 to 0.36m3. The final pressure is confirmed to be 100kPa. It is established that during an isothermal process, the change in internal energy of an ideal gas is zero, as it solely depends on temperature. Therefore, the correct answer to the problem regarding the change in internal energy is 0 kJ.

PREREQUISITES
  • Understanding of ideal gas laws
  • Knowledge of isothermal processes
  • Familiarity with the concept of internal energy
  • Basic thermodynamic equations, specifically Q=W
NEXT STEPS
  • Study the ideal gas law and its applications
  • Learn about different thermodynamic processes, including isothermal and adiabatic
  • Explore the relationship between temperature and internal energy in ideal gases
  • Investigate the implications of the first law of thermodynamics in various scenarios
USEFUL FOR

This discussion is beneficial for students studying thermodynamics, particularly those focusing on gas laws and energy transformations in physical chemistry or physics courses.

jimbo71
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Homework Statement


a monatomic ideal gas(Cv=3/2R) undergoes an isothermal expansion at 300K, as the volume increased from 0.09m^3 to 0.36m^3. the final pressure is 100kPa. the change in the internal energy of the gas, in kJ is closest to
a. 0
b. 25
c. -50
d. -25
e. 50


Homework Equations


Q=W




The Attempt at a Solution


I think because it is an isothermal process the internal energy of an ideal gas depends only on the temperature. since the temperature remains the same wouldn't the internal energy be zero.
 
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That is right.
 

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