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InterviewSolution
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Derive the ideal gas equation. |
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Answer» Solution :(i) The ideal gas EQUATION relates all the properties of an ideal gas. (ii) AL ideal gas obeys BOYLE's law, Charle's law and Avagardo's law. (iii) According to Bolye's law. PV = constant....(1) (iv) According to Charle's law, V/T = constant...(2) According to Avagardo's law, V/n = constant...(3) Conbining equations (1),(2) and (3) , we can write, PV/nT = constant...(4) This relation is called the combined law of gases. (vii) CONSIDER, `n=muN_(A)` (viii) Using this value, equation (4) can be written as `PV//muN_(A)T` = constant (ix) The value of constant in the above equation is taken to be `K_(B)`, which is called as Boltzman constant. Its value is `1.381 xx10^(-23) JK^(-1)`. (x) Hence, we have the FOLLOWING equation: `PV//muN_(A)T =K_(B)` `PV = muN_(A) K_(B) T` Here, `muN_(A) K_(B) = R` , which is universal gas constant and its value is `8.31 J mol^(-1) K^(-1)` PV=RT This is called ideal gas equation . Ideal gas equation is also called as equation of state. |
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