Thermodynamic process P^2+aV^2=constant

AI Thread Summary
The discussion focuses on a thermodynamic process involving one mole of an ideal gas expanding from volume V1 to V2, governed by the equation P2 + aV2 = constant. Participants are tasked with finding the work done by the gas as a function of initial and final pressures and volumes, specifically P1, P2, V1, and V2. The work is calculated using the integral W = ∫PdV, but one participant encountered difficulties in expressing pressure as a function of volume. The need for clarity in the approach and further assistance is emphasized. The conversation highlights the challenges in applying the given thermodynamic principles to solve the problem effectively.
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Homework Statement


One mole of ideal gas expands from an initial volume V1,to a final volume V2. Where V1 and P1 correspond to the volume and initial gas pressure, whereas V2 and P2 correspond to the volume and pressure at the end of the process. The process is described by the equation:
P2+aV2=constant
Find the work donde by the gas as a function of P1, P2, V1, V2. ΔP/P<<1 and ΔV/V<<1.

Homework Equations


P2+aV2=constant
W=∫PdV

The Attempt at a Solution


i tried to find P as a function of V but then i got a weird result.
 
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