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Since quantities added or subtracted must have the same dimensions, $\dfrac{a}{V^2}$ must have the same dimensions as pressure $P$.
$[P] = [ML^{-1}T^{-2}]$ and $[V^2] = [L^6]$
Therefore: $[a] = [P][V^2] = [ML^{-1}T^{-2}][L^6] = [ML^5T^{-2}]$
Among the following 1 molal aqueous solutions of cobalt complexes, which will show the highest freezing point (least depression)?
The depression in freezing point $\Delta T_f = i \cdot K_f \cdot m$, where $i$ = van't Hoff factor (number of particles from ionization).
The compound with the fewest ions in solution gives the smallest $\Delta T_f$ and therefore the highest freezing point.
- $[\text{Co(H}_2\text{O)}_4\text{Cl}_2]\text{Cl}$: ionizes to give 2 particles → $i = 2$
- $[\text{Co(H}_2\text{O)}_3\text{Cl}_3]$: non-electrolyte → $i = 1$ (no ions) — smallest depression
- $[\text{Co(H}_2\text{O)}_6]\text{Cl}_3$: gives 4 particles → $i = 4$
- $[\text{Co(H}_2\text{O)}_5\text{Cl}]\text{Cl}_2$: gives 3 particles → $i = 3$
Highest freezing point → smallest $i$ → Option B ($i=1$).
Which of the following is not a standard assumption in cost-volume-profit (CVP) analysis?
In CVP, Total Fixed Costs are assumed to be constant, which means Fixed Cost per unit actually changes (decreases) as volume increases. Thus, assuming unit fixed cost is constant is incorrect.
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