Answer: The amount of heat released for the given amount of hydrogen peroxide is 14.7 kJ.
Explanation:
To calculate the number of moles, we use the equation:
\(\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}\)
Given mass of \(H_2O_2\) = 5.00 g
Molar mass of \(H_2O_2\) = 34 g/mol
Putting values in above equation, we get:
\(\text{Moles of }H_2O_2=\frac{5.00g}{34g/mol}=0.15mol\)
The chemical equation for the reaction of decomposition of hydrogen peroxide follows:
\(2H_2O_2(l)\rightarrow 2H_2O(l)+O_2(g);\Delta H=-196kJ\)
By Stoichiometry of the reaction:
For every 2 moles of hydrogen peroxide, the amount of heat released is 196 kJ.
So, for every 0.15 moles of hydrogen peroxide, the amount of heat released will be = \(\frac{196}{2}\times 0.15=14.7kJ\)
Hence, the amount of heat released for the given amount of hydrogen peroxide is 14.7 kJ.
