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The p-T graph for the given mass of an i...

The p-T graph for the given mass of an ideal gas is shown in figure. What inference can be drawn regarding the change in volume (whether it is constant, increasing or decreasing) ?
How to proceed Definitely, it is not constant. Because when volume of the gas is constant `p-T` graph is a straight line passing through origin. The given line does not pass through origin, hence volume is not constant. .
`V = (nR)((T)/P)`
Now, to see volume of the gas we will have to see whether `(T)/(P)` is increasing or decreasing.

Text Solution

Verified by Experts

The correct Answer is:
A, B
From the given graph, we can write the `p - T`equation as
`p = aT + b`
Now, `T _B gt T_A`
:. `b/(T_B)lt b/(T_A) or (P/T)_B lt(P/T)_A`
or `(T/P)_B gt(P/T)_A`
or ` V_B gt V_A`
Thus, as we move from `A` to `B`, volume of the gas is increasimg.
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