Please FOLLOW, HEART and RATE 5 STARS on my answer. If I help you a lot with this THANK YOU PO.

Explanation:

To calculate the total heat gain due to conduction through the wall, you can use the formula:

Q = U × A × ΔT

where:

Q is the heat gain (in watts),

U is the overall heat transfer coefficient (in W/m²K),

A is the surface area of the wall (in m²), and

ΔT is the temperature difference across the wall (in Kelvin or °C).

Given:

U = 4.5 W/m²K

A = 10 m²

ΔT = (30°C - 25°C) = 5°C

First, convert the temperature difference to Kelvin by adding 273.15:

ΔT = 5°C + 273.15 = 278.15 K

Now substitute the values into the formula:

Q = 4.5 W/m²K × 10 m² × 278.15 K

Calculating the result:

Q = 1246.175 W

Therefore, the total heat gain due to conduction through the wall is approximately 1246.175 watts.