User:IDave2/sandbox

Avogadro's Number = 6.022 × 1023. ---

Each antacid tablet is mixed with 40 mL of 0.1 M HCl; this acidic solution is the same stuff that is in stomach acid and one antacid pill is nowhere near enough to neutralize all 40 mL of the acid.


 * $$\begin{align}

\text{40 mL of 0.1 M HCl} &= \text{40 mL solution}\times \frac{\text{0.1 mole of HCl}}{\text{1 L solution}} \\ &= 40\ \underline{\text{mL solution}}\times \frac{\text{0.1 mole of HCl}}{1000\ \underline{\text{mL solution}}} \qquad \text{(common units cancel)} \\ &= \frac{40}{1000}\times\text{0.1 mole of HCl} \\ &= \text{0.004 mole of HCl} \\ &= 4\times 10^{-3}\ \text{moles of HCl} \end{align}$$


 * $$n_{\mathbf{H}^+} = n_{\mathbf{OH}^-}$$

or


 * $$(M_{\mathbf{H}^+})(V_{\mathbf{H}^+}) = (M_{\mathbf{OH}^-})(V_{\mathbf{OH}^-})$$


 * $$\begin{align}

t' &= \gamma \ (t - vx/c^2) \\ x' &= \gamma \ (x - v t) \\ y' &= y \\ z' &= z , \end{align}$$ where
 * $$\gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}}$$


 * $$\frac{1}{2}$$