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Question

At what centigrade temperature, will the volume of a given mass of gas at 0° C triple itself if pressure is kept constant?


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Solution

According to Charles' law, at constant pressure, temperature of a given mass of gas is directly proportional to the volume of the gas.

i.e.; V∝ T

Therefore, V1T1=V2T2

Given, Temperature T1 =0° C= 273 K (T° C+273= T K)

Volume at temperature T1= V1

Given, Final volume= 3V1

Substituting the values in the above equation,

V1273=3V1T2T2=3V1×273V1=819K

T2 °C= 819 K- 273=546° C

At constant pressure, the volume of a given mass of gas at 0° C triple itself at 546° C.


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