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- $2$ moles of resin ($2 \times 206\text{ g}$) react with $1$ mole of $Ca^{2+}$.
- Total mass of resin = $412\text{ g}$.
- Uptake per gram = $\frac{1\text{ mole } Ca^{2+}}{412\text{ g resin}}$.
A sales ledger control account included: (1) Contra with purchases ledger: $500 debit; (2) Discount allowed: $600 debit; (3) Irrecoverable debts written off: $1,200 debit. Which entries must be corrected?
Option A (all three) is correct.
- Contra entry should be a credit (reduces receivables), not debit.
- Discount allowed should be a credit (reduces amount owed by customers), not debit.
- Irrecoverable debts written off should be a credit (reduces receivable), not debit.
The three slabs are placed side-by-side (parallel combination), each occupying one-third of the area $A/3$ and the full separation $d$.
Total capacitance:
$C = \frac{\varepsilon_0 (A/3)}{d}(K_1 + K_2 + K_3) = \frac{\varepsilon_0 A}{3d}(10+12+14) = \frac{36\varepsilon_0 A}{3d} = \frac{12\varepsilon_0 A}{d}$
For a single dielectric $K$:
$C = \frac{K\varepsilon_0 A}{d}$
$\Rightarrow K = 12$
The equivalent dielectric constant is simply the arithmetic mean: $(10+12+14)/3 = 12$.
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