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Number of orbitals = \(2\ell + 1 = 2(3) + 1 = 7\)
Max electrons = \(7 \times 2 = 14\)
This is the 4f subshell. Note that \(n = 4\) is valid since \(\ell\) can be 0, 1, 2, or 3 for \(n = 4\). The 4f subshell holds exactly 14 electrons, which accounts for the 14 lanthanoids.
KCl must NEVER be administered via IV push — it can cause fatal cardiac arrest. During KCl infusion, the critical monitoring parameter is urine output (renal function).
Safe KCl infusion requires:
- Urine output \\geq 30 \\text{ mL/hr} — confirms kidneys can excrete excess potassium
- Urine output < 25–30 mL/hr indicates oliguria → STOP infusion immediately (risk of fatal hyperkalemia)
- Maximum peripheral infusion rate: 10 \\text{ mEq/hr}
- Maximum concentration peripherally: 40 mEq/L
- Never administer undiluted KCl
Signs of KCl toxicity/hyperkalemia: peaked T-waves, widened QRS, bradycardia, cardiac arrest. As a Charge Nurse, monitoring IV KCl infusions is a major patient safety responsibility.
A projectile is launched from the ground with initial velocity $\vec{u} = u_0\hat{i} + v_0\hat{j}$. Gravity acts in the $-y$ direction. The maximum displacement in the $x$-direction is:
Time of flight $= \dfrac{2v_0}{g}$ (time for vertical displacement to return to zero).
Horizontal range $= u_0 \times \dfrac{2v_0}{g} = \mathbf{\dfrac{2u_0 v_0}{g}}$
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