(c) Calculate the net present value of a prospective mineral deposit (mine), if its expected future value in 6 years adds up to $200M (Million Dollars) at 8% interest rate. (15 marks)
(d) A prismatic block of rock sits on the surface of massive rock underneath at a slope angle of $\theta$ (measured with respect to the horizon or x-axis). If the friction angle of the joint or interface between the two surfaces is $\phi = 28^\circ$, calculate the factor of safety (FoS) of the top rock block for the cases of: (a) $\theta = 12^\circ$ and $\theta = 53^\circ$. (20 marks)
(e) Determine the mass-balance coefficients of these two equations (if required) and explain what these chemical materials and reactions are and what they mean. (20 marks)
$CuCO_3 + Heat \rightarrow CuO + CO_2$ (Eq.1)
$CuO + C + Heat \rightarrow Cu + CO_2$ (Eq.2)