Question

what is the value of coefficient of volume expansion for all gases

Answer 1

PV=nRT

PV=nRT

so

V∝T

V∝T

or volume is proportional to temperature in Kelvin.

To go from 0 degrees Centrigrade to 1 degree Centrigrade the temperature in Kelvin changes from 273 K to 274 K (approximately) so the volume changes from

V

V

to

274

273

V

274273V

which is equal to

(1+

1

273

)V

(1+1273)V

- so there is an increase of

1

273

V

1273V

.

Note in this rise of

1

273

V

1273V

the

273

273

comes from the initial temperature of

273K

273K

so that if the temperature were say 100 Centigrade or

373K

373K

the factor would be

1

373

1373

Finally, note that Temperature in Kelvin = Temperature in Centigrade +273 (approximately)