LABORATORY MATHEMATICS
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Measurement: Length Name: Meter Symbol:
Measurement: Length Name: Meter Symbol: m
Measurement: Mass Name: Kilogram Symbol:
Measurement: Mass Name: Kilogram Symbol: kg
Measurement: Quantity of substance Name: Symbol:
Measurement: Quantity of substance Name: Mole Symbol: mol
Measurement: Quantity of substance Name: Symbol:
Measurement: Quantity of substance Name: Second Symbol: s
Measurement: Electric current Name: Symbol:
Measurement: Electric current Name: Ampere Symbol: A
Measurement: Thermodynamic temperature Name: Symbol:
Measurement: Thermodynamic temperature Name: Kelvin Symbol: K
Measurement: Luminous intensity Name: Symbol:
Measurement: Luminous intensity Name: Candela Symbol: cd
Factor: 10^-18 Prefix: Symbol:
Factor: 10^-18 Prefix: Atto Symbol: a
Factor: 10^-15 Prefix: Symbol:
Factor: 10^-15 Prefix: Femto Symbol: f
Factor: 10^-12 Prefix: Symbol:
Factor: 10^-12 Prefix: Pico Symbol: p
Factor: 10^-9 Prefix: Symbol:
Factor: 10^-9 Prefix: Nano Symbol: n
Factor: 10^-6 Prefix: Symbol:
Factor: 10^-6 Prefix: Micro Symbol: u
Factor: 10^-3 Prefix: Symbol:
Factor: 10^-3 Prefix: Milli Symbol: m
Factor: 10^-2 Prefix: Symbol:
Factor: 10^-2 Prefix: centi Symbol: c
Factor: 10^-1 Prefix: Symbol:
Factor: 10^-1 Prefix: Deci Symbol: d
Convert 3 uL to L
3x10^-6 L or 0.000003 L
Percent concentrations formula: 1. w/v % solutions: 2. v/v % solutions: 3. w/w % solutions:
• w/v % solutions: % (w/v) = weight of solute (g)/total volume of solution (mL) x 100% • v/v % solutions: % (v/v) = volume of solute (mL)/total volume of solution (mL) x 100% • w/w % solutions: % (w/w) = weight of solute (g)/total weight of solution (g) x 100%
How much sodium chloride should be used to prepare 2 liters of 0.85% (w/v) saline solution?
17 grams Given: solute = x solution = 2 L concentration = 0.85% solution: conc. = solute (g)/solution (mL) x 100 % 0.85 = x/2000 mL x 100% x = 0.85 x 2000 mL/100 = 17 grams
Formula for Molarity:
Molarity (M) = amount of solute (in moles) / total volume of solution (in mL)
A registered medical technologist dissolved 100 g of sodium chloride in 5 liters of distilled water. What is the molarity of the resulting solution? (MW: Na = 23 ; Cl = 35.45)
0.34 M Given: solute = 100 g —-> moles solution = 5 L M = x Solution: g —-> moles 100 g/58.45 = 1.71 moles M = 1.71 moles/5 L M = 0.34 M
Formula for Normality:
Normality (N) = amount of solute (in moles / total volume of solution (in L) x valence or N = M x v (valence = amount of H+ ion)
What is the Normality of a 200 mL solution containing 5 grams of H2SO4? (MW: H = 1; S = 32; O = 16)
0.51 N Given: Solute = 5 g Solution = 200 mL —-> 0.2 L N = x Solution: g —-> moles 5 g/98 = 0.051 moles N = 0.051 moles/0.2 L x 2 N = 0.51 N
What is the final concentration of a 50% solution that was diluted 1:2, 1:5 then 1:10?
0.5% Final concentration = original concentration /product of all diluting factor = 50%/2x5x10 = 0.5%
temperature conversions: C to F =
F = (C x 1.8) + 32