Complete Question
To make use of an ionic hydrate for storing solar energy, you place 422.0 kg of sodium sulfate decahydrate on your house roof. Assuming complete reaction and 100% efficiency of heat transfer, how much heat (in kJ) is released to your house at night? Note that sodium sulfate decahydrate will transfer 354 kJ/mol.
Answer:
The amount of energy released is [tex]x = 4.63650 *10^5 KJ[/tex]
Explanation:
Number of moles is mathematically represented as
[tex]n =\frac{mass}{Molar\ Mass}[/tex]
substituting [tex]422.0kg = 422 *10^3g[/tex] for mass of sodium sulfate decahydrate([tex]Na_2 SO_4 \cdot 10H_2 O[/tex]), [tex]322.2g/mol[/tex] (This value is a constant )for the molar mass of sodium sulfate decahydrate
[tex]n= \frac{422*10^3}{322.2}[/tex]
[tex]= 1309.7 \ moles[/tex]
From the question we are told that
1 mole of sodium sulfate decahydrate generates [tex]354KJ[/tex] of energy
So 1309.7 mole would generate x
Now stating the relation mathematically
1 mol → 354KJ
1309.7 mol → x
=> [tex]x = 4.63650 *10^5 KJ[/tex]
