Use the formula: mass (g) = Molarity (M) × Volume (L) × Molecular Weight (g/mol). For example, to make 500 mL of 1 M NaCl (MW = 58.44 g/mol): mass = 1 × 0.5 × 58.44 = 29.22 g. Dissolve 29.22 g NaCl in water and bring to 500 mL final volume.
The Henderson-Hasselbalch equation relates pH to the pKa of a buffer and the ratio of conjugate base to acid: pH = pKa + log([A-]/[HA]). It is used to calculate how much acid and base forms of a buffer to mix to achieve a target pH. The equation works best within ±1 pH unit of the buffer's pKa.
The dilution equation C1×V1 = C2×V2 states that the moles of solute before and after dilution are equal. C1 is the initial concentration, V1 is the volume of stock to use, C2 is the desired final concentration, and V2 is the desired final volume. Solve for any one unknown given the other three.
For biological applications at pH 7.4, phosphate buffer (pKa 7.20) and HEPES (pKa 7.55) are excellent choices. PBS (phosphate-buffered saline) is the most common buffer for cell culture and protein work at physiological pH. HEPES is preferred when phosphate interference is a concern.
For 1 L of 1× PBS (pH 7.4): dissolve 8.0 g NaCl, 0.2 g KCl, 1.44 g Na2HPO4, and 0.24 g KH2PO4 in ~800 mL distilled water. Adjust pH to 7.4 with HCl if needed, then bring to 1 L final volume. Autoclave or filter-sterilize before use.
A serial dilution is a stepwise dilution of a substance, where each step uses the same dilution factor. It is widely used in bioprocessing for preparing standard curves (e.g., ELISA, Bradford assay), determining MIC values for antibiotics, cell counting, and titer determination. Common dilution factors are 1:2, 1:5, and 1:10.