$[\text{Cr(H}_2\text{O)}_6]\text{Cl}_3$: H$_2$O is neutral, Cl$^-$ is $-1$, complex has charge 3+. So Cr = +3.

$[\text{Cr(C}_6\text{H}_6)_2]$: Benzene is a neutral ligand (0 charge). Complex is neutral. So Cr = 0.

$\text{K}_2[\text{Cr(CN)}_2(\text{O})_2(\text{O}_2)(\text{NH}_3)]$: K$^+$ gives $+2$ outside; complex ion has $-2$ charge. CN$^-$ ($-1$ each, $2\times-1=-2$); O$^{2-}$ ($-2$ each, $2\times-2=-4$); O$_2^{2-}$ (peroxo, $-2$); NH$_3$ (0). Let Cr = $x$: $x + (-2) + (-4) + (-2) + 0 = -2 \Rightarrow x - 8 = -2 \Rightarrow x = +6$.

Oxidation states: +3, 0, +6.

Diabetic Ketoacidosis (DKA) — Diagnostic criteria in children:

• Blood glucose \(>11\,\text{mmol/L}\) (or known DM)
• pH \(<7.3\) or bicarbonate \(<15\,\text{mEq/L}\)
• Ketonemia/ketonuria

Severity classification:

This child: pH 7.14, HCO₃ 10 = Moderate-Severe DKA

Management (ISPAD/BSPED guidelines):

1. Fluid resuscitation FIRST (not insulin first): \(10{-}20\,\text{mL/kg}\) of 0.9% NaCl over 1–2 hours if shocked
2. Replace fluid deficit over 24–48 hours with 0.9% NaCl
3. Start insulin infusion: \(0.05{-}0.1\,\text{units/kg/hr}\) IV (NEVER bolus in children — risk of cerebral edema)
4. Add dextrose to IV fluid when BG \(\leq 14\,\text{mmol/L}\)
5. Monitor for cerebral edema (most feared complication — headache, bradycardia, \(\downarrow\) consciousness)

Bicarbonate is NOT recommended in pediatric DKA — worsens cerebral edema.

Le Corbusier's Five Points of a New Architecture (1927):

1. Pilotis — columns lifting the building off the ground ✓
2. Free plan — open floor plan enabled by structural columns ✓
3. Free facade — non-load-bearing exterior walls ✓
4. Horizontal windows (ribbon windows) — long panoramic windows ✓
5. Roof garden (flat roof with terrace garden) ✓

Exposed concrete (béton brut) is associated with Brutalism (a later movement). Le Corbusier used it but it's not one of the original Five Points.