The pressure P , volume V , number of moles n , and Kelvin temperature T
of an ideal gas are related by the equation PV= nRT , where R is a constant. Prove that the coefficient of volume expansion for an ideal gas is equal to the reciprocal of the Kelvin temperature if the expansion occurs at constant pressure.
Thermal Expansion of an Ideal Gas
2008-09-23 9:07 am
回答 (1)
2008-09-24 5:11 am
✔ 最佳答案
Since PV = nRTP(dV) = nR(dT) when pressure P is kept constant
thus, dV/dT = nR/P
Coefficient of volume expansion of a gas is defined as the gractional change in volume of the gas per degree change in temperature.
Mathematically, coefficeient of expansion = (1/V).(dV/.dT)
thus, coefficient of expansion = ((1/V).(nR/P) = (P/nRT).(nR/P) = 1/T
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