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Draw the P-T and V-T diagrams for an iso...

Draw the P-T and V-T diagrams for an isobaric process of expansion, corresponding to n moles of an ideal gas at pressure `P_(0)` from `V_(0)` to `2 V_(0)`

Text Solution

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From the equation state for an ideal gas PV = nRT,

We have `V = (nR//P_(0))T` or `V prop T`
At ` V = V_(0)` we get `T_(1) = (P_(0) V_(0))/(nR)`
And at `V = 2 V_(0)`, we get
`T_(2) = (2 P_(0) V_(0))/(n R)`
For the graph of P versus T the variation is a straight line normal to the pressure axis, the temperatur varies from `T_(1)` to `T_(2)` as shown in the Fig.
For the graph of V versus T, the equation `V = (n R// P_(0)) T` or V = kT shows that the volume varies directly with the temperature (Charlie's law). So, the graph is a straight line inclined to the (V - T) axes, and passes through the origin (when produced) as shown Fig.
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