The left and right compartments of a thermally isolated container of length are separated by a thermally conducting, movable piston of area . The left and right compartments are filled with and mol

Question

The left and right compartments of a thermally isolated container of length  are separated by a thermally conducting, movable piston of area . The left and right compartments are filled with  and  moles of an ideal gas, respectively. In the left compartment the piston is attached to a spring with spring constant  and natural length . In thermodynamic equilibrium, the piston is at a distance  from the left and right edges of the container as shown in the figure. Under the above conditions, if the pressure in the right compartment is , then the value of  is .

Canvas Classes · Accepted Answer

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- Container length , conducting piston at the centre; left side has  mol + a spring (, natural length ), right side has  mol. . Find .

💡 The conducting piston keeps both sides at the same temperature; the force balance on the piston includes the spring force.

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Spring extension , force 
, ;

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