What is the mass of the helium present - Thermodynamics

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SUMMARY

The discussion focuses on calculating the mass of helium when it behaves as an ideal gas under constant pressure conditions, specifically from 273 K to 383 K. The work done by the gas is quantified as 23.0 J. The relevant equations include the work done by the gas, expressed as dW = PdV, and the relationship between volume and temperature, V = nRT/P. By integrating the work equation and using the molar mass of helium, participants concluded that the mass can be determined from the number of moles calculated through the work done.

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A sample of helium behaves as an ideal gas as energy is added by heat at constant pressure from 273 K to 383 K. If the gas does 23.0 J of work, what is the mass of helium present?

I tried this and think u use m=Q/c*change in T, but not sure where to go from there
 
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The expression for the work done by the gas is:
dW=PdV
Since there is constan pressure we can write:
V=\frac{nRT}{P}
dV=\frac{nR}{P}dT
So
dW=nRdT
and
[/tex]W=\int_{T_1}^{T_2}nRdT[/tex]
Do the integral, use the molar mass of He to convert the # of moles of He to the mass, and then solve for the mass.
 

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