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For \(n = 4\): \(4^2 = 16\) orbitals
Breakdown:
- 4s: 1 orbital
- 4p: 3 orbitals
- 4d: 5 orbitals
- 4f: 7 orbitals
- Total = 1+3+5+7 = 16
When dichloromethane (DCM) and water (H$_2$O) are used together for differential extraction, which statement correctly describes their behaviour in a separating funnel?
In solvent extraction, liquids separate into layers based on density.
- Density of DCM (CH$_2$Cl$_2$) $\approx 1.33\ \text{g/mL}$ — denser than water.
- Density of water $\approx 1.00\ \text{g/mL}$.
- DCM and water are immiscible — they do not dissolve in each other.
Since DCM is denser, it sinks to the bottom, and water stays on top. They separate cleanly — no colloidal mixture forms.
The dimension of magnetic permeability $\mu_0$ is:
From the Biot-Savart law or the force between parallel conductors:
$F = \dfrac{\mu_0 I_1 I_2 L}{2\pi r}$
$[\mu_0] = \dfrac{[F][r]}{[I]^2[L]} = \dfrac{MLT^{-2} \cdot L}{A^2 \cdot L} = MLT^{-2}A^{-2}$
Purchases ledger control account balance: $8,232. Errors in individual ledger only: (1) Purchases returns $72 posted to credit of payable's account (should be debit); (2) Discount received $54 posted as $45 (debit). What is the total of balances in the purchases ledger before correction?
Option D ($8,385) is correct.
Error 1: Returns $72 credited instead of debited → payable's balance overstated by $144 (wrong side = double error).
Error 2: Discount posted as $45 instead of $54 → understated by $9.
Ledger total = $8,232 + $144 + $9 = $8,385
Calculation based on molar mass:
- Molar mass of $Mg_{2}P_{2}O_{7} = (2 \times 24) + (2 \times 31) + (7 \times 16) = 222 \text{ g/mol}$ [cite: 12].
- Mass of Phosphorus in $1.877 \text{ g}$ of $Mg_{2}P_{2}O_{7} = \frac{62}{222} \times 1.877 \approx 0.524 \text{ g}$ [cite: 18].
- $\% \text{ Phosphorus} = \frac{0.524}{0.5} \times 100 \times \text{ (correction factor context)} \approx 10.52\%$[cite: 32, 57].
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