This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Welcome back Fatima — been a while! Let's pick up where you left off. To calculate the amount of heat flow, we use the formula for heat conduction: Q = (k · A · T · t)/(L) where: Q = amount of heat transferred (Joules) k = thermal conductivity (K-value) A = cross-sectional area T = temperature difference t = time L = thickness Step 1: Identify the given values and convert them to SI units. • Thickness, L = 10 mm = 0.01 m • Width, W = 0.6 m • Length, H = 1 m • Time, t = 30 minutes = 30 × 60 s = 1800 s • Temperature on one side, T_1 = 70^ • Temperature on the other side, T_2 = 30^ • K-value of steel, k = 243 W/(m·K) Step 2: Calculate the cross-sectional area (A). The heat flows through the area perpendicular to the thickness. A = W × H A = 0.6 m × 1 m A = 0.6 m^2 Step 3: Calculate the temperature difference ( T). T = T_1 - T_2 T = 70^ - 30^ T = 40^ Since a change of 1^ is equal to a change of 1 K, T = 40 K. Step 4: Substitute the values into the heat transfer formula. Q = 243 W/(m·K) × 0.6 m^2 × 40 K × 1800 s0.01 m Q = 10497600 J0.01 Q = 1049760000 J The amount of heat that will flow through the sheet of steel is 1,049,760,000 J. Send me the next one 📸