1. A rectangular metal tray that measured 22.55 cm by 15.33 cm was plated with a very thin layer of gold. (The density of gold is 19.32 g/cm².) The gold plating had a mass of 0.0538 g. Calculate the thickness of the plating using scientific notation and the correct number of significant figures​

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answer: semi-infinite solid initially at a uniform temperature of 400 ◦c is cooled at its surface by convection. the cooling fluid at a constant temperature of 200 ◦c has a convective coefficient (ha) of 250 w/m2.k. the physical properties of the solid: k = 20 w/m.k and α = 4 * 10-5  m2/s. using δx = 0.04 m and δt = 10 s. write the finite difference equations describing the transient heat transfer of the first five δx and the temperature profile after 30 s.