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Obtain coefficient of volume expansion from ideal gas equation. |
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Answer» SOLUTION :Ideal gas EQUATION, `PV=muRT ""`. . .(1) Where P = PRESSURE, V = volume `mu=` no. of moles of gases R = gas constant T = absolute temperature At constant pressure, `PDeltaV=muRDeltaT""` . . . (2) By TAKING ratio of equation (2) and (1), `(DeltaV)/(V)=(DeltaT)/(T)` `:.(DeltaV)/(VDeltaT)=1/T` But `(DeltaV)/(V DeltaT)=alpha_(V)` (coefficient of volume expansion) `:.alpha_(V)=1/T` For ideal gas, `alpha_(V)=3.7xx10^(-3)K^(-1)` at `0^(@)C` which is GREATER than solid and liquid. For ideal gas `alpha_(V)` depend on temperature. It is inversely proportion to temperature. Hence it decrease with increase in temperature. For ideal gas, `alpha_(V)=3300xx10^(-6)K^(-1)` at room temperature which is much more greater than liquids. |
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