Volume of water required to store 100,000 Btu of thermal energy is [tex]320.51foot^{3}[/tex] .
Explanation:
The complete question is : One cubic foot of water can store 312 Btu of thermal energy. On a cold winter day a well-constructed home may require 100,000 Btu of nighttime space heating. What is the volume of water required to store this energy? In this question , it's given that One cubic foot of water can store 312 Btu of thermal energy or 312 Btu takes 1 cubic foot of water ,So
1 Btu takes [tex]\frac{1}{312}[/tex] cubic foot of water
Therefore, 100,000 Btu takes:
⇒ [tex]volume = \frac{1}{312}(100,000)[/tex] [tex]foot^{3}[/tex]
⇒ [tex]volume = \frac{100,000}{312}[/tex] [tex]foot^{3}[/tex]
⇒ [tex]volume = 320.51[/tex] [tex]foot^{3}[/tex]
∴ Volume of water required to store 100,000 Btu of thermal energy is [tex]320.51foot^{3}[/tex] .