Calculate the number of the constituent atoms in 53 grams of Na2CO3( At. massses of Na= 23u , C=12u, O =16u)

I did the questions something like this-

We know that,

n = mass/ molar mass and n= no. of particles/ 6.022 * 10 to the power 23

where n is the no. of moles

Now, from above two equations, we can say that, mass/molar mass=no. of particles/6.022 * 10 to the power 23

so, 53/106 = no. of particles/6.022 * 10 to the power 23and so, no. of particles = 53/106* 6.022 * 10 to the power 23or, no. of particles = 3.011 * 10 to the power 23Experts please tell me whether I am right or wrong. I f I am wrong, then in which step I have done wrong.Plzzzzz..... reply fast.Thank you

Molecular mass of Na2CO3  2(23) + 1(12) +3(16) = 46+12+48 = 106g/mol
Given mass of Na2CO3 = 53g
moles of Na2CO3 = 53/106 = 0.5mol

Number of constituent atoms:

Number of atoms of Na = 0.5×6.022×1023×2 = 6.022×1023
Number of atoms of C = 0.5×6.022×1023×1 = 3.011×1023
Number of atoms of O = 0.5×6.022×1023×3 = 9.033×1023


 

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