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Question

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


A

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B

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C

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D

None of the options are correct.

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Solution

The correct options are
A


C


We know that according to Charles' law,

V T

V1T1=V2T2

V1T2=V2T1

Now as V 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.


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