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Draw the P-T and V-T diagrams of an isoc...

Draw the P-T and V-T diagrams of an isochoric process of n moles of an ideal gas from pressure `P_(0)`, volume `V_(0)` to pressure `4P_(0)`, indicating the pressures, and temperatures, of the gas, in the initial and the final states.

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From the equation of state for an ideal gas
`PV=nRT`
(a) `P=(nRT)/(V)` i.e., `P prop T ( :. V="constant")`
AT `P=P_(0) and V=V_(0), T=(P_(0)V_(0))/(nR) and`
at `P=4P_(0), V=V_(0), T = (4P_(0)V_(0))/(nR)`
The graph is a straight line (passing through the origin, when produced) shown in figure.

(b) Since, temperature increases from `(P_(0)V_(0))/(nR)` to `(4P_(0)V_(0))/(nR)`, volume remaining constant, so, the graph of `V-T` will be as shown in figure.
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Knowledge Check

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