Situated in Namibia, hiking in extreme desert tempratures, 2 nights in desert camp return trip.How much you think it worth?
We denote 1 - gold, 2 - quartz, m = 12.6 kg, V = 2.41 x 10^-3 m?, ρ1 = 19,300 kg/m?, ρ2 = 2,660 kg/m?. We know that m = m1 + m2 = ρ1 x V1 + ρ2 x V2. We have two unknowns V1 and V2, we need another equation: V = V1 + V2 --> V2 = V – V1 and: m = ρ1 x V1 + ρ2 x (V – V1). We solve for V1: m = ρ1 x V1 + ρ2 x V – ρ2 x V1 and V1 (ρ1 – ρ2) = m – ρ2 x V V1 = (m – ρ2 x V) / (ρ1 – ρ2) = [12.6 kg – 2660 kg/m? x 2.41 x 10^-3 m?] / (19,300 kg/m? – 2,660 kg/m?) = 3.72 x 10^-4 m? and mas of the gold in the rock m1 = ρ1 x V1 = 19,300 kg/m? x 3.72 x 10^-4 m? = 7.18 kg
