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The van der waals equation for a gas is [p+a/v^2](V-b)=nRT where P,V,R,T and n represent the pressure,volume,universal gas constant,absolute temperature and number of moles of a gas respectively.a and b are constant .the ratio b/a will have the following dimensional formulaA)M-1L-2T2 B)M-1L-1T-1 C)ML2T2D)MLT-2 |
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Answer» Answer: Option A. Explanation: Vander Waal's UNIVERSAL equation for a non ideal gas : ( P + a/v² ) * (V - b) = n R T with the symbols having the given meanings. P = pressure. V = VOLUME. R = Universal Gas constant. T = absolute temperature. n = number of moles of the gas. SINCE P has DIMENSIONS of Force/Area, a/V² also will have the same units and dimensions. P = [ M ] [ L⁻¹ ] [ T⁻² ] = a / V² = a [ L³ ]⁻² So constant a = [ M ] [ L⁵ ] [ T⁻² ] Since b has same units and dimensions as that of V, b = [ L³ ] Then the ratio b/a will have the dimensions: [ M⁻¹ ] [ L⁻² ] [ T² ] Answer is the option (A). |
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