Average Translational Kinetic Energy of 1 Molecule: Solve for N

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Homework Help Overview

The problem involves calculating the average translational kinetic energy of a single molecule from a monatomic ideal gas, given the number of molecules, volume, and pressure. The context is rooted in thermodynamics and gas laws.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between the number of molecules and moles, with some suggesting the use of different equations to find temperature. Questions arise regarding the calculation of moles from the given number of molecules.

Discussion Status

There is a mix of attempts to clarify the conversion between molecules and moles, with some participants providing insights into the equations that can be used. A temperature value has been calculated, though its realism is questioned.

Contextual Notes

Participants note the discrepancy between the calculated temperature and typical conditions for a gas, suggesting that the assumptions or inputs may need further examination.

yankees26an
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Homework Statement


1.2 x10^23 molecules of a monatomic ideal gas occupies the volume of 0.63 m3 at
atmospheric pressure. Find the average translational kinetic energy of one molecule.


Homework Equations



PV = NRT

K = 3/2*kB*T

The Attempt at a Solution



T = PV/NR

But.. what's N(moles)?
 
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One mole of anything = 6.03*10^23 molecules of that thing. BTW, you can also use PV=nkT. That way, you can directly plug in 1.2 x10^23 into "n".
 
In this equation usually moles: here 1.2/6.02= n. The 10^23 on top and bottom cancel.
 
Ok so I get T = 39425 K :S
 
That's correct, although not realistic. 1.2*10^23 of a room-temperature gas would take up around 5 L.
 

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