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A water treatment plant needs to attain a fluoride concentration of 4.5010-5M.

(a) What mass of NaFmust be added to a 5000Lblending tank of water?

(b) What mass per day of fluoride is ingested by a person who drinks2.00L of this water?

Short Answer

Expert verified
  1. The mass of is 9.45gneeds to attain a fluoride concentration of 4.5010-5M.
  2. The mass of fluoride is 1.70gper day ingested by a person who drink 2.0Lof this water.

Step by step solution

01

A concept:

Molarity is defined as the number of moles of solute per liter solution.

molarity=尘辞濒别蝉鈥塷蹿鈥塻辞濒耻迟别惫辞濒耻尘别鈥嬧赌夆赌媜蹿鈥塻辞濒耻迟颈辞苍鈥(L)尘辞濒别蝉鈥夆赌媜蹿鈥嬧赌塻辞濒耻迟别=尘补蝉蝉鈥塷蹿鈥塻辞濒耻迟别molar鈥壋静共醪踱塷蹿鈥塻辞濒耻迟别

Given that,4.50105M is the fluoride molarity or concentration to be obtained and volume of blending tank of water is 5000L.

02

(a) Mass of NaF:

Molar mass ofNaFis defined as below.

Molarity is defined as the number of moles of solute per liter solution.

One mole of fluoride is given by one mole of NaF.

Thus, Fluoride concentration is equivalent to the concentration of NaF.

Hence, the mass ofNaFcan be calculated as,

role="math" localid="1663331625931" molarity=尘补蝉蝉鈥嬧赌塷蹿鈥塏补贵尘辞濒补谤鈥夆赌媘补蝉蝉鈥塷蹿鈥塏补贵1volume(L)4.50105M=尘补蝉蝉鈥嬧赌塷蹿鈥塏补贵41.99鈥塯mol15000L尘补蝉蝉鈥嬧赌塷蹿鈥塏补贵41.99鈥塯mol=4.50105M5000L尘补蝉蝉鈥塷蹿鈥塏补贵=9.45g

Therefore,9.45g ofNaF needs to attain a fluoride concentration of 4.50105M.

03

(b) Mass of fluoride:

Molar mass of fluoride is18.99gmol and volume is 2.0L.

Fluoride concentration is equal toNaF concentration.

Thus, the mass of fluoride can be calculated as follow.

molarity=尘补蝉蝉鈥嬧赌塷蹿鈥塅尘辞濒补谤鈥夆赌媘补蝉蝉鈥塷蹿鈥塅1volume(L)4.50105M=尘补蝉蝉鈥嬧赌塷蹿鈥塅18.99鈥gmol12.0L尘补蝉蝉鈥嬧赌塷蹿鈥塅18.99鈥gmol=4.50105M2.0L尘补蝉蝉鈥塷蹿鈥塅=1.70g

Hence, the mass of fluoride is1.70g per day ingested by a person who drink2.0L of this water.

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