Popcorn Oil Set
Posted in Posters on 05/20/2007 08:42 am by admin
Requests for first-order ODE?
Suppose you make popcorn in oil heated to a temperature. You have studied the rate at which the kernels pop and determined that each nucleus has a probability of 5% of the total amount of pop second.Determine time it takes to explode: in%) 90 of nuclei b) 95% of the grains
Let N be the number of grains without busting 5% of grains without busting the emergence of a second. Therefore, the exchange rate of the grains without breaking is given by dN / dt = – 0.05 s ⁻ ¹ N ∙ independent variables and integrating dN / N = – 0.05 s ⁻ ¹ ∙ dt => ∫ dN / N = ∫ – 0.05 ⁻ ¹ dt <=> ln (N) = – 0.05 s ⁻ ¹ t ∙ + C C can be expressed in terms of an appropriate constant value N Sea ₀ the amount of kernel at t = 0. ln (N ₀) = – 0.05 s ⁻ ¹ ∙ 0s + C then ln (N) = – 0.05 s ⁻ ¹ t ∙ + ln (N ₀) <=> Ln (N / N ₀) = – 0.05 ∙ s ⁻ ¹ t <=> ln (N ₀ / N) = 0.05 ⁻ ¹ t ∙ Thus, the time until the number of grains increased from ₀ NN is given by t = ln (N ₀ / N) / (0.05s ⁻ ¹) = 20 ∙ ln (N ₀ / N)), where 90% of the original are omitted, 10% of the grains remain untapped. Where: N = 0.1 N ∙ ₀ => t = 20 ∙ ln (N ₀ / (0.1 N ∙ ₀)) = 20 ∙ in (10) ≈ 46s a) when 95% of the original are omitted, the 5% of the grains remain untapped. Where: N = N ∙ 0.05 ₀ => T = 20 ∙ ln (N ₀ / (0.05 ₀ ∙ N)) = ln ∙ 20 (20) ≈ 60
How to Make Popcorn Using Olive Oil in a Pot
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