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Calculate the pressure excerted by `5 mol` of `CO_(2)` in `1 L` vessel at `47^(@)C` using van der Waals equation. Also report the pressure of gas if it behaves ideally in nature. `(a=3.592 atm L^(2) mol^(-2), b=0.0427 L mol^(-1))` |
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Answer» Given `n =5, V =1 litre,` `T =47 + 273 = 320 K` ` a = 3.592, b = 0.0427` Using van ber Waals equation for n mole `[P+(n^(2)a)/(V^(2))][V -nb]=nRT` `[P +(25 ccxx 3.592)/(1)][1 -5 xx 0.0427]=5 xx 0.0821 xx 320` `P =77.218 atm` Also if gas behaves ideally, then `PV =nRT` ` P xx 1 =5 xx 0.0821 xx 320 = 131.36` atm . |
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