Question

State whether the following diagram depicts ideal gas behaviour or not?

A)
B)
C)

Answer 1

A) Charles’s law states that at constant pressure, the volume of a gas is directly proportional to the absolute temperature (in Kelvin) in a closed system. Basically, this law describes the relationship between the temperature and volume of an ideal gas.

From ideal gas equation,

$PV=nRT$

At constant pressure

$V\propto T$ (Charles’s Law)

So, this graph shows ideal gas behaviour.

$\text{Final Answer}$: Yes.


B) Boyle's law states that the volume of a given mass of gas varies inversely with the pressure when the temperature is kept constant.
At constant temperature,

$PV$ = constant (Boyle’s Law)

So, this graph does not show ideal gas behavior. The relationship on the graph can be shown by rectangular hyperbola.

$\text{Final Answer}:$ No.


C) From ideal gas equation,

$PV=nRT$

$PV\propto T$

Therefore with increase in $PV$, temperature $\left(T\right)$ should also increase.

So, this graph does not show ideal gas behaviour.

$\text{Final Answer}:$ No.