Read the following statements concerning the above curves. (i) The dotted line corresponds to the ideal gas behavior . (ii) \[4\times {{10}^{3}}A{{m}^{-1}}\] (iii)The value of \[\text{1}{{0}^{-\text{2}}}\] at the point, where the curves meet on the y-axis is the same for all edges. Which of the above statement is true?
A) Only (i)
B) (i) and (ii)
C) (i), (ii) and (iii)
D) None of these
Correct Answer: C
Solution :
(i) The dotted line in -the diagram shows that there is no deviation in the value of \[9.13\times {{10}^{3}}N/{{m}^{2}}\] for different temperature \[{{T}_{1}}\] and \[{{T}_{2}}\] for increasing pressure, so this gas behaves ideally. Hence, dotted line corresponds to ideal gas behavior . (ii) We know that at high temperature, the deviation of the gas is less and at low temperature the deviation of gas is more. In the graph, deviation for \[\text{5}.\text{25}\times \text{1}{{0}^{\text{3}}}\text{min}\] is greater than for \[2l=\int_{\pi /6}^{\pi /3}{1dx}=[x]_{\pi /6}^{\pi /3}\]. Thus, \[\Rightarrow \] (iii) Since, the two curves intersect at dotted line, so the value of\[l=\frac{1}{2}\left( \frac{\pi }{3}-\frac{\pi }{6} \right)=\frac{\pi }{12}\] at that point on the y-axis is same for all gases.
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