Solveeit Logo
Login

Question

Question: How do you convert\[5.28 \times {10^{23}}\] formula units of iron (III) carbonate to grams?...

How do you convert5.28×10235.28 \times {10^{23}} formula units of iron (III) carbonate to grams?

Explanation

Solution

The simplest form of an ionic compound is known as its formula unit. The formula unit is defined as the empirical formula of the compound which is expressed in the simplest whole number ratio of the atoms of the variable elements which have been present in the one molecule of the compound. The one mole of the compounds contains the substance which is equal to the Avogadro number.

Complete step-by-step answer:
So here in this question first we need to get the moles of the compound. So the formula to get the moles of the compound is the following:
Number of particles=numberofmoles×Avogadro′sNumber = number of moles \times Avogadro's Number
So the values which are given to us in the question are the following:
Number of particles = 5.28×10235.28 \times {10^{23}}formula units
Avogadro number = 6.023×10236.023 \times {10^{23}}
The Avogadro number is the constant value.
So now we will substitute the values in the above formula:
5.28×10235.28 \times {10^{23}} = numberofmoles×6.023×1023number of moles \times 6.023 \times {10^{23}}
Number of moles = 5.28×10236.023×1023\dfrac{{5.28 \times {{10}^{23}}}}{{6.023 \times {{10}^{23}}}}
Number of moles =0.87
So the number of moles is 0.87
Now to calculate the mass of the substance in grams, we would use the following formula. That is:;
Moles = massmolecularmass\dfrac{{mass}}{{molecular mass}}
The values given are:
Moles = 0.87
Molecular mass of iron (III) carbonate we have to calculate. So,
Fe2(CO3)3F{e_2}{(C{O_3})_3} = 2(56)+3(12)+9(16)2(56)+3(12)+9(16)
Fe2(CO3)3F{e_2}{(C{O_3})_3} = 292gmol−1mo{l^{ - 1}}
Now substituting the values in the formula we will get,
0.87 = mass292\dfrac{{mass}}{{292}}
Mass = 0.87×2920.87 \times 292
Mass = 254.04g
So the weight of the given formula unit of iron (III) carbonate in grams is 254.04g.

Note: If in the question it was asked to convert the formula unit into liter then after calculating the number of moles we would have multiplied the moles by 22.4L. The one mole of the substance is always equal to the amount of substance which is present in the 12g of carbon 12 atom. The one mole of the substance is equal to the Avogadro number which is equal to 6.023×10236.023 \times {10^{23}}.