CALCULATE THE RATIO OF MOLECULES PRESENT IN 6.6g OF CO2 AND 3.2G OF SO2?(C=12U,O=16U,S=32U)
The molar mass of CO2 is calculated as follows
molar mass of CO2 = molar mass of carbon + 2 X (molar mass of oxygen)
= (12 + 16 X 2)g
= 44g
Thus, the molar mass of CO2 is 44g. This means that there are 6.022 X 1023 molecules of CO2 in 44g of CO2. So
44g of CO2 = 6.022 X 1023 molecules of CO2
1g of CO2 = (6.022 X 1023 / 44) molecules of CO2
6.6g of CO2 = (6.022 X 1023 X 6.6) / 44 molecules of CO2
= 9.033 X 1022 molecules of CO2
Similarly, we can calculate the molar mass of SO2. It comes out to be 64g. Thus
64g of SO2 = 6.022 X 1023 molecules of SO2
1g of SO2 = (6.022 X 1023 / 64) molecules of SO2
3.2g of SO2 = (6.022 X 1023 X 3.2) / 64 molecules of SO2
= 3.011 X 1022 molecules of SO2
Thus
Number of molecule in 6.6g of CO2 / Number of molecules in 3.2g of SO2 = (9.033 X 1022) / (3.011 X 1022)
= 3
Thus, the ratio comes out to be 3 : 1.