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 10^{23} molecules of CO_{2} present in 44g of CO_{2}. So

number of molecules present in 44g of CO_{2} = 6.022 X 10^{23}

number of molecules present in 1g of CO_{2} = (6.022 X 10^{23}) / 44

number of molecules present in 4.4g of CO_{2} = (6.022 X 10^{23} X 4.4) / 44

= 6.022 X 10^{22}

Hence 4.4g of CO_{2} contains 6.022 X 10^{22} molecules of CO_{2}. We will now calculate the mass of SO_{2} which contains 6.022 X 10^{22} molecules. The molar mass or the mass of one mole of SO_{2} is 64g. Since there are 6.022 X 10^{23} particles in one mole of a substance, therefore

mass of 6.022 X 10^{23} molecules of SO_{2} = 64g

mass of 1 molecule of SO_{2} = 64 / (6.022 X 10^{23})g

mass of 6.022 X 10^{22} molecules of SO_{2} = (64 X 6.022 X 10^{22}) / (6.022 X 10^{23})

= 6.4g

Thus, 6.4g of SO_{2} contains the same number of molecules as are present in 4.4g of CO_{2}.

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