High School

Calculate the mass of [tex]Na_2O[/tex] needed to release 105 kJ of heat energy according to the following reaction:

\[Na_2O (s) + 2HI (g) \rightarrow 2NaI (s) + H_2O (l)\] \[ΔH = -502 \text{kJ}\]

A. 13.0 g
B. 155 g
C. 97.4 g
D. 24.8 g

Answer :

The mass of Na2O needed to release 105 kJ of heat energy is 97.4 g.

In the given reaction, the enthalpy change is -502 kJ when 1 mole of Na2O reacts with 2 moles of HI to produce 2 moles of NaI and 1 mole of H2O.

Using this information, we can calculate the enthalpy change for the given amount of heat energy as follows:

-502 kJ --> 1 mole Na2O

-105 kJ --> (105/502) mole Na2O [Using stoichiometry]

Therefore, the moles of Na2O required to release 105 kJ of heat energy is (105/502) mole. The molar mass of Na2O is 61.98 g/mol, so the mass of Na2O required can be calculated as:

Mass of Na2O = (105/502) mol x 61.98 g/mol = 97.4 g

Hence, the mass of Na2O needed to release 105 kJ of heat energy is 97.4 g.

Learn more about heat energy here.

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