Question

Under constant pressure a fixed mass of gas is heated from 0degree Celsius to 546 degree Celsius. What is the ratio of the final volume of the gas with its initial volume?

Answer 1

We know from the ideal gas equation that
PV = nRT

Given that P is constant and since mass is fixed, moles that is n is also constant and R is the gas constant it does not change.

Now,

PV1 = nRT1
PV2 = nRT2

PV2/PV1 = nRT2/nRT1
Therfore,

V2/V1 = T2/T1

We always keep the value of temperature in kelvin.
T2 = 546°C = 546 + 273 = 819K
T1 = 0°C = 0 + 273 = 273K

V2/V1 = T2/T1
= 819/273
=3/1 or 3:1

Hope this helps...

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