Finding Final Volume - almost got it

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SUMMARY

The discussion centers on calculating the final volume (Vf) of a gas given specific parameters: 1.00 mol of O2, an initial temperature (Ti) of 300K, an initial volume (Vi) of 5.00L, and 4400 J of energy transferred by heat. The user initially calculated the final temperature (Tf) as 449.7K using the equation Q = n(Constant Pressure)(Tf - Ti). However, the final volume calculation was incorrect due to the misuse of the specific heat capacity (29.4 J/mol*K) instead of the actual pressure. The correct final volume should be 7.52L, as indicated by the teacher.

PREREQUISITES
  • Understanding of the Ideal Gas Law
  • Knowledge of thermodynamic equations, specifically Q = nC(Tf - Ti)
  • Familiarity with specific heat capacity and its application
  • Basic principles of gas behavior under constant pressure
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  • Review the Ideal Gas Law and its applications in thermodynamics
  • Study the relationship between heat transfer and temperature change in gases
  • Learn about specific heat capacity and its distinction from pressure
  • Explore common mistakes in thermodynamic calculations and how to avoid them
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Students in chemistry or physics, particularly those studying thermodynamics, as well as educators looking to clarify concepts related to gas laws and heat transfer calculations.

sisigsarap
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Ok, here is what is given:

1.00 mol O2
Ti = 300K
Vi = 5.00L
4400 j of energy transferred by heat to the system
Vf = ?
Constant Pressure = 29.4 J/mol * K

So I set the problem up using Q = n(Constant Pressure)(Tf - T-i)
Solving for Tf I find that Tf is equal to 449.7K.

Then using equation (Vf - Vi) = (nR(Tf - Ti)) / P

Vf = ((1.00mol * 8.31 J/mol*K * 149.7K) / (1.013*10^5 N/m^2)) + 5.00L

I am getting Vf = 17.28 L

Can anyone tell me what I am doing wrong? My teacher told me the answer should be 7.52, could he of possibly meant 17.52?

Any help would be appreciated!
 
Physics news on Phys.org
1.The teacher is right.
2.The final temperature u computed is right...

3.The formula u used is wrong...

Daniel.
 
sisigsarap said:
Constant Pressure = 29.4 J/mol * K

This is the specific heat capacity, not pressure.
 

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