Xg of sulphur has as many atoms as in 3g of carbon.the value of X is?

We are given that x grams of sulphur contain the same number of atoms as are there in 3g of carbon. Hence, we will first calculate the number of atoms in 3g of carbon. The molar mass that is the mass of 6.022 X 1023 atoms of carbon is 12g. Thus

number of atoms in 12g of carbon = 6.022 X 1023

number of atoms in 1g of carbon = (6.022 X 1023) / 12

number of atoms in 3g of carbon = (6.022 X 1023 X 3) / 12 = 1.5055 X 1023

Thus, we will now calculate the mass of sulphur which contains 1.5055 X 1023 atoms. The molar mass of sulphur is 32g. Thus there are 6.022 X 1023 atoms of sulphur in 32g of sulphur. So

mass of 6.022 X 1023 atoms of sulphur = 32g

mass of 1 atom of sulphur = [32 / (6.022 X 1023)]g

mass of 1.5055 X 1023 atoms of sulphur = (32 X 1.5055 X 1023) / (6.022 X 1023) = 8g

Thus, 8g of sulphur contain the same number of atoms as are there in 3g of carbon. 

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