calculate the mass of So2 gas which will contain the same number of molecules present in 4.4 g of Co2

The molar mass that is the mass of one mole of carbon dioxide is 44g. This means there are 6.022 X 1023 molecules of CO2 present in 44g of CO2. So

number of molecules present in 44g of CO2 = 6.022 X 1023

number of molecules present in 1g of CO2 = (6.022 X 1023) / 44

number of molecules present in 4.4g of CO2 = (6.022 X 1023 X 4.4) / 44

= 6.022 X 1022

Hence 4.4g of CO2 contains 6.022 X 1022 molecules of CO2. We will now calculate the mass of SO2 which contains 6.022 X 1022 molecules. The molar mass or the mass of one mole of SO2 is 64g. Since there are 6.022 X 1023 particles in one mole of a substance, therefore

mass of 6.022 X 1023 molecules of SO2 = 64g

mass of 1 molecule of SO2 = 64 / (6.022 X 1023)g 

mass of 6.022 X 1022 molecules of SO2 = (64 X 6.022 X 1022) / (6.022 X 1023)

= 6.4g

Thus, 6.4g of SO2 contains the same number of molecules as are present in 4.4g of CO2

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