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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 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`, we get the following.
(a) `P = (nRT)/(V)` , i.e, `P prop T (v = constant)`
At `P = P_(0)`, and `V = V_(0)`, we get `T = P_(0) V_(0)//nR`
And at `P = 4P_(0), V + V_(0)`, we get `T = 4P_(0) V_(0)//nR`
The graph is a straight line (passing through the origin, When produced) shown in Fig

Since temperature increases from `(P_(0) V_(0))/(nR)` t o `(4P_(0) V_(0))/(nR)`
Volume remains constant, so, the graph of V-T will be as shown in Fig.
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