Question

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

• A. $PVvsP$ (at constant temperature)
• B. $logPvslogV$ (at constant temperature)
• C. $Pvs\frac{1}{V}$ (at constant temperature)
• D. Density $vsT$ (at constant pressure)

Answer 1

Answer: (D)

1. At constant temperature the $PV$ versus $P$ graph will be a straight line parallel to $x-$ axis.

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 $-1$ .

3.At constant temperature,
$PV=constant\left(C\right)P=\frac{C}{V}P\propto \frac{1}{V}$

4. Density $vsT$ graph at constant pressure is not straight line.