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  4. Which of the following graph will not be straight line for fixed mass of an ideal gas?

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Q. Which of the following graph will not be straight line for fixed mass of an ideal gas?

NTA AbhyasNTA Abhyas 2022

Solution:

1. At constant temperature the $PV$ versus $P$ graph will be a straight line parallel to $x-$ axis.
Solution
2. At constant temperature,
$PV=constant\left(C\right)log\left(P\right)=-log\left(V\right)+log\left(C\right)$
The slope of the graph between $log\left(P\right)$ and $log\left(V\right)$ at constant temperature for a given mass of a gas is equal to $-1$ .
Solution
3.At constant temperature,
$PV=constant\left(C\right)P=\frac{C}{V}P \propto \frac{1}{V}$
Solution
4. Density $vsT$ graph at constant pressure is not straight line.