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If Z is a compressibility factor, van der Waals equation at low pressure can be written asA. `Z=1+(Pb)/(RT)`B. `Z=1+(RT)/(Pb)`C. `Z=1-(a)/(VRT)`D. `Z=1-(Pb)/(RT)` |
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Answer» Correct Answer - C For 1 mole of a real gas, van der Waals equation is `(P+(a)/(V^(2)))(V-b)=RT` At low pressure, V is large and therefore, b can be neglected in comparison to V so that `V-b~-V`. Hence, `(P+(a)/(V^(2)))V=RT` or `PV+(a)/(V)=RT" or " PV=RT-(a)/(V)` or `(PV)/(RT)=1-(a)/(VRT)" or " Z=1-(a)/(VRT)` |
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