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. 

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