The temperature u(x, t) of a long, thin rod of constant cross section and homogeneous conducting material is governed by the one-dimensional heat equation. If heat is generated in the material, for example, by resistance to current or nuclear reaction, the heat equation becomes 2u x 2 + Kr C = K u t , 0 < x < l, 0 < t, where l is the length, is the density, C is the specific heat, and K is the thermal diffusivity of the rod. The function r = r(x, t, u) represents the heat generated per unit volume. Suppose that l = 1.5 cm, K = 1.04 cal/cm deg s, = 10.6 g/cm3 , C = 0.056 cal/g deg, and r(x,t, u) = 5.0 cal/cm3 s. If the ends of the rod are kept at 0C, then u(0, t) = u(l, t) = 0, t > 0. Suppose the initial temperature distribution is given by u(x, 0) = sin x l , 0 x l. Use the results of Exercise 15 to approximate the temperature distribution with h = 0.15 and k = 0.0225.

CHEMISTRY 100-002 Study Guide Exam 2 Questions: 1) Classify each compound as Ionic or Molecular then name the compound a) NaNO _____________ ________________________________ 3 b) NO 3 _____________ ________________________________ c) CaCO 3 _____________ ________________________________ 2) What is the molar mass of Sucrose (C H O12...