Answer:
[tex]m = 824.157\,kg[/tex]
Explanation:
The total amount of heat released from the passive solar house is:
[tex]Q = \left(20000\,\frac{kJ}{h} \right)\cdot (10\,h)[/tex]
[tex]Q = 200000\,kJ[/tex]
The mass of water required to maintain indoor air temperature is:
[tex]m = \frac{200000\,kJ}{\left(4.184\,\frac{kJ}{kg\cdot K} \right)\cdot (80\,^{\circ}C - 22\,^{\circ}C)}[/tex]
[tex]m = 824.157\,kg[/tex]