The answer is:
4 moles of [tex]KClO_{3}[/tex] are required to produce 6 moles of [tex]O_{2}[/tex]
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:
[tex]2KClO_{3}->3KCl+3O_{2}[/tex]
Now, from the equation we know that 3 moles of [tex]O_{2}[/tex] gives 2 moles of [tex]2KClO_{3}[/tex], we can calculate how many moles of the same compound react to produce 6 moles of [tex]O_{2}[/tex] the following equation:
[tex]\frac{No.molKClO_{3}}{6molO_{2}}=\frac{2molKClO_{3}}{3molO_{2}}\\\\No.molKClO_{3}=6molO_{2}*\frac{2molKClO_{3}}{3molO_{2}}\\\\No.molKClO_{3}=4molKClO_{3}[/tex]
Hence, we have that 4 moles of [tex]KClO_{3}[/tex] are required to produce 6 moles of [tex]O_{2}[/tex]
Have a nice day!