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Dilution (equation)

From Wikipedia, the free encyclopedia
Chemistry concept
Diluting a solution by adding more solvent

Dilution is the process of decreasing the concentration of asolute in asolution, usually simply by mixing with moresolvent like adding more water to the solution. To dilute a solution means to add more solvent without the addition of more solute. The resulting solution is thoroughly mixed so as to ensure that all parts of the solution are identical.

The samedirect relationship applies togases andvapors diluted in air for example. Although, thorough mixing of gases and vapors may not be as easily accomplished.[citation needed]

For example, if there are 10grams ofsalt (the solute) dissolved in 1litre of water (the solvent), this solution has a certain salt concentration (molarity). If one adds 1 litre of water to this solution, the salt concentration is reduced. The diluted solution still contains 10 grams of salt (0.171moles ofNaCl).

Mathematically this relationship can be shown byequation:

c1V1=c2V2{\displaystyle c_{1}V_{1}=c_{2}V_{2}}

where

  • c1 = initial concentration or molarity
  • V1 = initial volume
  • c2 = final concentration or molarity
  • V2 = final volume

....

Basic room purge equation

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Thebasic room purge equation is used inindustrial hygiene. It determines the time required to reduce a known vapor concentration existing in a closed space to a lower vapor concentration. The equation can only be applied when the purged volume of vapor or gas is replaced with "clean" air or gas. For example, the equation can be used to calculate the time required at a certain ventilation rate to reduce a highcarbon monoxide concentration in a room.

Dt=[VQ]ln[CinitialCending]{\displaystyle D_{t}=\left[{\frac {V}{Q}}\right]\cdot \ln \left[{\frac {C_{\text{initial}}}{C_{\text{ending}}}}\right]}

Sometimes the equation is also written as:

ln[CendingCinitial]=QV(tendingtinitial){\displaystyle \ln \left[{\frac {C_{\text{ending}}}{C_{\text{initial}}}}\right]\quad ={-}{\frac {Q}{V}}\cdot (t_{\text{ending}}-t_{\text{initial}})} wheretinitial=0{\displaystyle t_{\text{initial}}=0}

  • Dt = time required; the unit of time used is the same as is used forQ
  • V = air or gas volume of the closed space or room in cubic feet, cubic metres orlitres
  • Q = ventilation rate into or out of the room incubic feet per minute, cubic metres per hour orlitres per second
  • Cinitial = initial concentration of a vapor inside the room measured inppm
  • Cfinal = final reduced concentration of the vapor inside the room in ppm

Dilution ventilation equation

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The basic room purge equation can be used only for purge scenarios. In a scenario where a liquid continuously evaporates from a container in a ventilated room, adifferential equation has to be used:

dCdt=GQCV{\displaystyle {\frac {dC}{dt}}={\frac {G-Q'C}{V}}}

where the ventilation rate has been adjusted by a mixing factorK:Q=QK{\displaystyle Q'={\frac {Q}{K}}}

  • C = concentration of a gas
  • G = generation rate
  • V = room volume
  • Q′ = adjusted ventilation rate of the volume

Dilution in welding

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The dilution in welding terms is defined as the weight of the base metal melted divided by the total weight of the weld metal. For example, if we have a dilution of 0.40, the fraction of the weld metal that came from the consumable electrode is 0.60.

See also

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References

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External links

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