need chemistry help

Question

How many moles of hydrogen carbonate need to decompose to produce 4.16 x 10^24 molecules of carbon dioxide if water is the only other product? Give answer in scientific notation please

Answer 1

The balanced equation for the decomposition of hydrogen carbonate (carbonic acid H2CO3) is

H2CO3 ------> H2O + CO2 so one mole of CO2 is produced from one mole of H2CO3. Now you have to calculate how many moles of CO2 you get from 4.16 x 10^24 molecules of CO2. You have to use Avogadro's number to calculate this. 1 mole = 6.022 x 10^23 molecules, so 1 mole/6.022 x 10^23 x 4.16 x 10^24 = 6.91 moles of CO2 which is equal to the number of moles of H2CO3.