Thermodynamic constant volume process

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SUMMARY

In a constant-volume process involving 0.99 mol of an ideal monatomic gas at an initial temperature of 290 K, 208 J of energy is transferred as heat. The work done on the gas is zero since there is no volume change. The increase in internal energy can be calculated using the equation ΔU = Q, which equals 208 J. The final temperature can be determined using the heat capacity at constant volume, leading to a calculated increase in temperature.

PREREQUISITES
  • Understanding of the ideal gas law
  • Knowledge of internal energy and its relation to heat and work
  • Familiarity with the concept of heat capacity for monatomic gases
  • Basic principles of thermodynamics, specifically constant-volume processes
NEXT STEPS
  • Study the ideal gas law and its applications in thermodynamic processes
  • Learn about the relationship between internal energy, heat, and work using the first law of thermodynamics
  • Explore the heat capacity of monatomic gases and its implications in constant-volume processes
  • Practice solving problems involving thermodynamic cycles and processes
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Students studying thermodynamics, physics enthusiasts, and anyone looking to deepen their understanding of ideal gas behavior in constant-volume processes.

keevenh
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Homework Statement



In a constant-volume process, 208 J of energy is transferred by heat to 0.99 mol of an ideal monatomic gas initially at 290 K.
(a) Find the work done on the gas.

(b) Find the increase in internal energy of the gas.

(c) Find its final temperature.

I just don't know which equation to use and don't really know which direction to take.

Homework Equations



Pretty sure it involves ΔU=W+Q

The Attempt at a Solution


NIL
 
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Start by drawing a PV diagram of the process.

The work done is the area under the P-V curve.
The equations you want are the ideal gas law, something to relate internal energy to work and heat, and something to relate change in internal energy to temperature in a constant volume process.
 
keevenh said:

Homework Statement



In a constant-volume process, 208 J of energy is transferred by heat to 0.99 mol of an ideal monatomic gas initially at 290 K.
(a) Find the work done on the gas.

(b) Find the increase in internal energy of the gas.

(c) Find its final temperature.

I just don't know which equation to use and don't really know which direction to take.

Homework Equations



Pretty sure it involves ΔU=W+Q
Is there any work done? Plug that value into your equation.

Can you find the heat flow, Q? Plug that into your equation.

That will give you the change in internal energy.

How is Q related to change in temperature? (think: heat capacity of the gas).

AM
 

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