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Question
Which of the following diagrams (Figure) depicts ideal gas behaviour?
 (a) |
 (b) |
 (c) |
 (d) |
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Solution
a and c
Explanation:
For ideal gas behaviour,
PV = nRT ......(i)
(a) When pressure, P = constant
From (i) Volume V ∝ Temperature T
The graph of V versus T will be a straight line.
(b) When T = constant
From (i) PV = constant
So, the graph of P versus V will be a rectangular hyperbola. Hence this graph is wrong. The correct graph is shown below:
(c) When V = constant
From (i) P ∝ T
So, the graph is a straight line passing through the origin.
(d) From (i) PV ∝ T
⇒ `(PV)/T` = constant
So, the graph of PV versus T will be a straight line parallel to the temperature axis (x-axis).
i.e., the slope of this graph will be zero.
So, (d) is not correct.
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