Math 8 > Unit 5 - Percent, Ratio and Rate
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Ratio Rates Percents
In chemistry and biology, the dilution ratio is the ratio of solute to solvent. It is often used for simple dilutions, one in which a unit volume of a liquid material of interest is combined with an appropriate volume of a solvent liquid to achieve the desired concentration. The diluted material must be thoroughly mixed to achieve the true dilution. For example, in a 1:5 dilution, with a 1:5 dilution ratio, entails combining 1 unit volume of solute (the material to be diluted) with 5 unit volumes of the solvent to give 6 total units of total volume.
This is often confused with 'dilution factor' which is an expression which describes the ratio of the aliquot volume to the final volume. Dilution factor is a notation often used in commercial assays. For example, in a 1:5 dilution, with a 1:5 dilution factor, (verbalize as '1 to 5' dilution) entails combining 1 unit volume of solute (the material to be diluted) with (approximately) 4 unit volumes of the solvent to give 5 units of total volume. Note that some solutions and mixtures take up slightly less volume than their components.
Ratios, Rates and Unit Rates (2) STUDY. Terms in this set (14) unit rate. A rate that is simplified so that it has a denominator of 1. A comparison of two quantities by division. The greatest number that is a factor of two or more numbers. Also note that this particular ratio is a unit rate, since the second number (denominator in the fraction) is 1. Let's say you know your friend Alicia has 7 pairs of jeans and you're wondering how many shirts she has, based on the ratio or rate of 5 shirts to one pair of jeans.
Ratios And Unit Rates Worksheets
Ratio uses a colon ':', and 1:5 means 1+5 parts. Fraction '/' is the correct symbol which the previous author wishes to use, where 1/5 is 1 part is a total of 5.
The dilution factor can be expressed using exponents: 1:5 would be 5e−1 (5−1 i.e. one-fifth:one); 1:100 would be 10e−2 (10−2 i.e. one hundredth:one), and so on.
There is often confusion between dilution ratio (1:n meaning 1 part solute to n parts solvent) and dilution factor (1:n+1) where the second number (n+1) represents the total volume of solute + solvent. In scientific and serial dilution assays, the given dilution factor often means the ratio to the final volume, not to just the solvent. The factors then can easily be multiplied to give an overall dilution factor. Some have suggested that dilution factors should more clearly be written as a/total or a þ b, as the use of the colon symbol ':' is widely used to represent ratios in fields like mathematics, chemistry, or organic chemistry. Leave ratios for actual ratios 1:100 = 101. However, at this time, both dilution conventions are widely used -which is why it is important for laboratory personnel to always clarify whether a 'dilution ratio' or 'dilution factor' ought to be used in performing dilutions.
In analytical chemistry, dilution factor is always greater than 1 using equation,[1]
dilution factor=final volumeinitial volume=n+11{displaystyle {mbox{dilution factor}}={frac {mbox{final volume}}{mbox{initial volume}}}={frac {mbox{n+1}}{mbox{1}}}}[2]
In chemistry and biology, the dilution ratio is the ratio of solute to solvent. It is often used for simple dilutions, one in which a unit volume of a liquid material of interest is combined with an appropriate volume of a solvent liquid to achieve the desired concentration. The diluted material must be thoroughly mixed to achieve the true dilution. For example, in a 1:5 dilution, with a 1:5 dilution ratio, entails combining 1 unit volume of solute (the material to be diluted) with 5 unit volumes of the solvent to give 6 total units of total volume.
This is often confused with 'dilution factor' which is an expression which describes the ratio of the aliquot volume to the final volume. Dilution factor is a notation often used in commercial assays. For example, in a 1:5 dilution, with a 1:5 dilution factor, (verbalize as '1 to 5' dilution) entails combining 1 unit volume of solute (the material to be diluted) with (approximately) 4 unit volumes of the solvent to give 5 units of total volume. Note that some solutions and mixtures take up slightly less volume than their components.
Ratios, Rates and Unit Rates (2) STUDY. Terms in this set (14) unit rate. A rate that is simplified so that it has a denominator of 1. A comparison of two quantities by division. The greatest number that is a factor of two or more numbers. Also note that this particular ratio is a unit rate, since the second number (denominator in the fraction) is 1. Let's say you know your friend Alicia has 7 pairs of jeans and you're wondering how many shirts she has, based on the ratio or rate of 5 shirts to one pair of jeans.
Ratios And Unit Rates Worksheets
Ratio uses a colon ':', and 1:5 means 1+5 parts. Fraction '/' is the correct symbol which the previous author wishes to use, where 1/5 is 1 part is a total of 5.
The dilution factor can be expressed using exponents: 1:5 would be 5e−1 (5−1 i.e. one-fifth:one); 1:100 would be 10e−2 (10−2 i.e. one hundredth:one), and so on.
There is often confusion between dilution ratio (1:n meaning 1 part solute to n parts solvent) and dilution factor (1:n+1) where the second number (n+1) represents the total volume of solute + solvent. In scientific and serial dilution assays, the given dilution factor often means the ratio to the final volume, not to just the solvent. The factors then can easily be multiplied to give an overall dilution factor. Some have suggested that dilution factors should more clearly be written as a/total or a þ b, as the use of the colon symbol ':' is widely used to represent ratios in fields like mathematics, chemistry, or organic chemistry. Leave ratios for actual ratios 1:100 = 101. However, at this time, both dilution conventions are widely used -which is why it is important for laboratory personnel to always clarify whether a 'dilution ratio' or 'dilution factor' ought to be used in performing dilutions.
In analytical chemistry, dilution factor is always greater than 1 using equation,[1]
dilution factor=final volumeinitial volume=n+11{displaystyle {mbox{dilution factor}}={frac {mbox{final volume}}{mbox{initial volume}}}={frac {mbox{n+1}}{mbox{1}}}}[2]
or sometimes the inverse for other fields: dilution factor=initial volumefinal volume=1n+1{displaystyle {mbox{dilution factor}}={frac {mbox{initial volume}}{mbox{final volume}}}={frac {mbox{1}}{mbox{n+1}}}}[3]
In other areas of science such as pharmacy, and in non-scientific usage, a dilution is normally given as a plain ratio of solvent to solute. For large factors, this confusion makes only a minor difference, but in precise work it can be important to make clear which ratio is intended.
Finding Ratio And Unit Rate
In photographic development, dilutions are normally given in a '1+x' format. For example '1+49' would typically mean 1 part concentrate and 49 parts water, meaning a 500ml solution would require 10ml concentrate and 490ml water.
References[edit]
- ^'Dilution Factor Chemistry'.
- ^'Dilution factor calculation'.
- ^'Mathbench serial dilution'.
See also[edit]
- ^http://www.fclab.us/index.php/mediapress/10-in-the-press/13-dilution-confusion-conventions-for-defining-a-dilution
