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A toothpaste contains 0.240%by mass sodium fluoride used to prevent dental caries and 5.0%by mass KNO3, which decreases pain sensitivity. One tube contains119g of toothpaste
role="math" localid="1652503120563" NaFand KNO3 are components found in toothpastes.

  1. How many moles of NaFare in the tube of toothpaste?
  2. How many fluoride ions, F-, are in the tube of toothpaste?
  3. How many grams of sodium ion, Na+, are in 1.50gof toothpaste?
  4. How many KNO3formula units are in the tube of toothpaste?

Short Answer

Expert verified

Our required answers are:

  1. 0.0068moles of NaF
  2. 4.09×1021ions
  3. 1.17×1022gofNa+ions
  4. 3.14×1021formula units ofKNO3present in toothpaste

Step by step solution

01

Part (a) Step 1: Given Information

We are given a toothpaste tube of 119gcontaining 0.240%by mass of NaF.

We need to find moles ofNaFin toothpaste.

02

Part (a) Step 2: Explanation

Amount of toothpaste=119g

Composition of NaFin toothpaste= localid="1653457114580" 0.240%=0.240×119g100=0.2856g

Number of moles =WeightofsubstanceMolecularmassofsubstance

So, number of moles in localid="1652505003670" NaF= localid="1653461551129" 0.2856g42g=0.068

Hence, localid="1652504997441" 0.0068moles of localid="1652505007178" NaFis present in toothpaste.

03

Part (b) Step 1: Given Information

We are given a toothpaste tube of 119gcontaining 0.240%by mass of NaF.

We need to find how many fluoride ions are in toothpaste.

04

Part (b) Step 2: Explanation

  • Moles of NaF=0.0068(Calculated in part (a) step 2)
  • Number of ions= Number of moles* Avogadro’s number
  • Number of F-ions in toothpaste = localid="1652505045894" 0.0068×(6.022×1023)=4.09×1021

Hence, in one toothpaste tube localid="1652505055726" 4.09×1021fluoride ions are present.

05

Part (c) Step 1: Given Information

We are given a toothpaste tube of119gcontaining 0.240%by mass of NaF.

We need to find how many grams of Na+ions are in toothpaste.

06

Part (c) Step 2: Explanation

  • Composition of NaF=0.240×1.50g100=0.036g
  • Moles of NaFin 1.50gof toothpaste = 0.036g42g=0.00085
  • Number of ions of Na=0.00085×6.022×1023=5.1×1020

Hence, Grams of sodium ion= localid="1653456969713" 5.1×1020×23g=1.17×1022g

07

Part (d) Step 1: Given Information

We are given that in toothpaste tube of 119g, 5%by mass of KNO3is present.

We need to find formula unit of KNO3present in toothpaste.

08

Part (d) Step 2: Explanation

  • Composition by mass of KNO3= 5×119100=5.95g
  • Moles of localid="1653457012769" KNO3=5.95g101g=0.058
  • Number of formula units = Number of moles * Avogadro’s number

=0.058×6.022×1023=0.034×1023=3.4×1021

Hence, number of formula units ofKNO3is3.4×1021.

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