Question

Which of the following is correct graphical representation of Charle's Law?

• A.
• B.
• C.
• D. None of the options are correct.

Answer 1

Answer: (A), (C)

We know that according to Charles' law,

V $\propto$ T

$\Rightarrow \frac{V_1}{T_1}=\frac{V_2}{T_2}$

$\Rightarrow V_1{T}_2=V_2{T}_1$

Now as V $\propto$ T, V vs T will be a linear graph.
The interesting thing here is that, in the first graph - at 0 degree C, the volume is non - zero. That makes sense right? Since volume will be 0 at 0 K, NOT at 0 degree celsius.

The second graph is obviously not correct since V vs 1/T is linear, V vs 1/T cannot be linear! (relate this to the P vs V graph in Boyle's Law)
The last graph - is correct! V/T is going to be constant, whatever the value of T is. That is what Charle's Law is, right?
You can also figure this out using PV = nRT, since P is constant, V/T = nR/P which is constant.