Why Is My Physics Professor Giving Contradictory Advice?

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SUMMARY

This discussion centers on the confusion experienced by a student regarding thermodynamic calculations involving an ideal monatomic gas. The student seeks assistance in calculating work done and thermal energy transfer during isothermal expansion and compression processes. Key formulas discussed include the work done by the gas, W = nRT ln(V_f/V_i), and the relationship between internal energy, work, and heat transfer, expressed as Q = U + W. The correct application of these formulas is critical for accurate problem-solving in thermodynamics.

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  • Understanding of the ideal gas law and its applications
  • Familiarity with thermodynamic concepts such as work, internal energy, and heat transfer
  • Knowledge of logarithmic functions and their role in thermodynamic equations
  • Ability to perform unit conversions and calculations in physics
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  • Study the derivation and application of the ideal gas law in various thermodynamic processes
  • Learn about the first law of thermodynamics and its implications for energy conservation
  • Explore the concept of isothermal processes and how they differ from adiabatic processes
  • Investigate graphical representations of work done in thermodynamic cycles
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Students of physics, particularly those studying thermodynamics, as well as educators seeking to clarify concepts related to gas laws and energy transfer in physical systems.

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HI I'm new here. I've been having a little bit of trouble with a few of my physics problems. It seems like very basic stuff. I went to my professor's office hours and he didn't help me. He told me the wrong stuff, and when I emailed him back, he said different stuff.

1)
An ideal monatomic gas expands isothermally from 0.550 m^3 to 1.25 m^3 at a constant temperature of 610 K. If the initial pressure is 1.10*10^5 Pa.
(a) Find the work done on the gas.

(b) Find the thermal energy transfer Q.

The internal energy is 0J, therefor -W=Q. I tried nRT*ln(V_f/V_i) but that didn't come out. I'm not really sure what else to do.
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2) A gas is enclosed in a container fitted with a piston of cross-sectional area 0.150 m2. The pressure of the gas is maintained at 5800 Pa as the piston moves inward 21.5 cm.

(b) If the internal energy of the gas decreases by 8.60 J, find the amount of heat removed from the system by heat during the compression.

I calculated the work done by using W=F*A*d, which comes out to be around -187. From there I tried using delta U = W + Q. Which would be -8.60=.187 + Q. However, my Q isn't correct, it is however within 10% of the correct answer.
 
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Pork said:
HI I'm new here. I've been having a little bit of trouble with a few of my physics problems. It seems like very basic stuff. I went to my professor's office hours and he didn't help me. He told me the wrong stuff, and when I emailed him back, he said different stuff.

1)
An ideal monatomic gas expands isothermally from 0.550 m^3 to 1.25 m^3 at a constant temperature of 610 K. If the initial pressure is 1.10*10^5 Pa.
(a) Find the work done on the gas.

(b) Find the thermal energy transfer Q.

The internal energy is 0J, therefor -W=Q. I tried nRT*ln(V_f/V_i) but that didn't come out. I'm not really sure what else to do.
-----------------------------------------------------------------------------------------
2) A gas is enclosed in a container fitted with a piston of cross-sectional area 0.150 m2. The pressure of the gas is maintained at 5800 Pa as the piston moves inward 21.5 cm.

(b) If the internal energy of the gas decreases by 8.60 J, find the amount of heat removed from the system by heat during the compression.

I calculated the work done by using W=F*A*d, which comes out to be around -187. From there I tried using delta U = W + Q. Which would be -8.60=.187 + Q. However, my Q isn't correct, it is however within 10% of the correct answer.

First of all I use the convention:
Q = U + W
If the gass expands, W is positive

1) W = nRT ln(Vf/Vi) = PV ln(Vf/Vi) = 1.10*0.550*105 ln(1.25/0.55) = 49.6 kJ
Q = W = 49.6 kJ

2) You are using your convention wrong. if U = W + Q, W is negative when gas expands, so, in this conventiuon, W = +187J and Q = -8.6 - 187 = -195.6J

You can use Q = U+W and it would give the same result
But in this case W = -187J, Q = -195.6J
 

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