How Does Temperature Change with Volume in a Quasi-Static Adiabatic Process?

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SUMMARY

The discussion focuses on the relationship between temperature and volume in a quasi-static adiabatic process for an ideal gas, specifically highlighting the equation TV^{\gamma-1} = constant. Participants also explore a practical application involving a uranium fission bomb, where the temperature of the gas decreases from 300,000 K to 2000 K as the radius expands from 50 ft. The Ideal Gas Law and the adiabatic process equation PV^{\gamma} = constant are essential tools in these calculations.

PREREQUISITES
  • Understanding of the Ideal Gas Law
  • Familiarity with adiabatic processes in thermodynamics
  • Knowledge of the specific heat ratio (γ) for ideal gases
  • Basic calculus for solving equations involving constants
NEXT STEPS
  • Study the derivation of the adiabatic process equations for ideal gases
  • Learn how to apply the Ideal Gas Law in various thermodynamic scenarios
  • Investigate the implications of temperature changes in explosive reactions
  • Explore the concept of specific heat ratios and their significance in thermodynamics
USEFUL FOR

Students and professionals in physics, engineering, and thermodynamics who are interested in the behavior of gases under adiabatic conditions and the practical applications of these principles in explosive scenarios.

shaiqbashir
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Hello Friends!

can anybody help me?

show that for a quasi static adiabatic process of an ideal gas, the following reaction holds

T[tex]V^{\gamma-1}}=constant[/tex]

Secondly:::

At about 100ms after detonation of a uranium fission bomb, the "ball of fire" cosists of a sphere of gas with a radius of about 50 ft and a temperature of 300,000 degree Kelvin. At what radius is the temperature 2000 K?
 
Last edited:
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For the First:

Use Ideal Gas Law and the Equation for adiabatic process [tex]PV^{\gamma}=constant[/tex]
 

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