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ANSWER
[tex]461.09MJ[/tex]EXPLANATION
To find the amount of heat flow, we have to apply the equation for conduction rate through a wall:
[tex]E=\frac{k\cdot A\cdot\Delta T\cdot t}{L}[/tex]where k = thermal conductivity of the material
A = area of surface
ΔT = T₂ - T₁ = Outer temperature - inner temperature
t = amount of time (in seconds)
L = thickness of wall
From the question, we have that:
[tex]\begin{gathered} k=0.75\text{ W\backslash{}m}\degree C \\ A=2.7\cdot11=29.7m^2 \\ \Delta T=30-7=23\degree C \\ t=17.5\cdot3600=63000\text{seconds} \\ L=7\operatorname{cm}=0.07m \end{gathered}[/tex]Therefore, the amount of heat that flows through the wall is:
[tex]\begin{gathered} E=\frac{0.75\cdot29.7\cdot23\cdot63000}{0.07} \\ E=461,092,500J \\ E=461.09MJ \end{gathered}[/tex]
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