Question

The volume of a given mass on gas at 27°C is 100cc. To what temperature should it be heated at the same pressure so that it will occupy a volume of 150cc
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Answer 1

Jacques charles stated that pressure remaining constant, the volume of a fixed mass of dry gas is directly proportional to its absolute temperature. This is Charles' Law.


So, V ∝ T

Or, V = k T (k = constant)

Or, V/T = k

Or, V1/T1 = V2/T2 = k (const.)


Here, V and T are the volume and temperature of the gas respectively.

Now, "V1" is initial volume.

"V2" is final volume.

"T1" is initial temperature.

"T2" is final temperature.

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Given informations are :

✔ T1 = 27°C or 300 K

✔ V1 = 100 cc

✔ T2 = ? K

✔ V2 = 150 cc

By charles' law,

V1/T1 = V2/T2 (Pressure=Constant)

Or, T2 = (V2 × T1)/V1

Or, T2 = (150 × 300)/100

Or, T2 = 450 K [ANSWER]