Hello!
The answer is:
4 moles of
are required to produce 6 moles of
![O_(2)](https://img.qammunity.org/2020/formulas/chemistry/high-school/kk40f618hiyuipcsdzw1e9g1dhnvwwgq.png)
Why?
To solve stoichiometric problems, we need to write the balanced equation of the compound that we are working with.
Potassium chlorate decomposition is given by the following equation:
![2KClO_(3)->3KCl+3O_(2)](https://img.qammunity.org/2020/formulas/chemistry/middle-school/r36v7cfrsgry0qo1sv41v7o8mc1xudu0pt.png)
Now, from the equation we know that 3 moles of
gives 2 moles of
, we can calculate how many moles of the same compound react to produce 6 moles of
the following equation:
![(No.molKClO_(3))/(6molO_(2))=(2molKClO_(3))/(3molO_(2))\\\\No.molKClO_(3)=6molO_(2)*(2molKClO_(3))/(3molO_(2))\\\\No.molKClO_(3)=4molKClO_(3)](https://img.qammunity.org/2020/formulas/chemistry/middle-school/wmoflz09iphnfnz4irhctt6yaryjenfnoj.png)
Hence, we have that 4 moles of
are required to produce 6 moles of
![O_(2)](https://img.qammunity.org/2020/formulas/chemistry/high-school/kk40f618hiyuipcsdzw1e9g1dhnvwwgq.png)
Have a nice day!