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Toothpastes containing fluoride ions help protect against tooth decay - Leaving Cert Chemistry - Question 1 - 2021

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Toothpastes containing fluoride ions help protect against tooth decay. Find the mass of fluoride in 1.0 cm³ of a toothpaste that has a fluoride concentration of 1,36... show full transcript

Worked Solution & Example Answer:Toothpastes containing fluoride ions help protect against tooth decay - Leaving Cert Chemistry - Question 1 - 2021

Step 1

Find the fluoride mass in 1.0 cm³

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Answer

To find the mass of fluoride in 1.0 cm³ of toothpaste with a concentration of 1,360 p.p.m., we first interpret the concentration:

1,360 p.p.m. means 1,360 mg of fluoride per liter of toothpaste.

Next, we convert 1.0 cm³ to liters:

1.0extcm3=0.001extL1.0 ext{ cm}^3 = 0.001 ext{ L}

Now, we can find the mass of fluoride in 1.0 cm³ by using the concentration:

extMass=extConcentrationimesextVolume ext{Mass} = ext{Concentration} imes ext{Volume}

Substituting the known values:

extMass=1,360extmgL1imes0.001extL=1.36extmg ext{Mass} = 1,360 ext{ mg L}^{-1} imes 0.001 ext{ L} = 1.36 ext{ mg}

Thus, the mass of fluoride in 1.0 cm³ of the toothpaste is 1.36 mg.

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