CALCULATE THE MASS OF NITROGEN WHICH CONTAINS SAME NUMBER OF MOLECULES AS ARE PRESENT IN 4.4GM OF CO2?

The molar mass of carbon dioxide is 44g. Thus, there are 6.022 X 1023 molecules of CO2 in 44g if CO2

So

 44g of CO2 = 6.022 X 1023 molecules of CO2

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

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

 = 6.022 X 1022 molecules of CO2

Thus, there are 6.022 X 1022 molecules of CO2 in 4.4g of CO2. Now, the molar mass of nitrogen gas (N2) is 28g. Thus, there are 6.022 X 1023 molecules of N2 in 28g if N2. So

 6.022 X 1023 molecules of N2 = 28g of N2

 1 molecule of N2 = 28 / (6.023 X 1023) g of N2

 So, 6.022 X 1022 molecules of N2 = (28 X 6.022 X 1022) / (6.022 X 1023) g of N2

 = 2.8g of N2

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CO2 =Mass of C + mass of 2 Oxygen atoms

  =12+2*16=12+32=44gm

 so, 44gm = 1 mole

 4.4 gm=? = 1/10 moles

mass of nitrogen in 1 mole = 28 gm

mass of nitrogen in 1/10 mole=28*1/10= 2.8gm

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