Alaterally insulated bar of length 10 cm and constant cross-sectional area 1 cm2, of density 10.6 gm/cm3, thermal conductivity 1.04 cal/cm sec °c, and specific heat 0.056 cal/gm °c has an initial temperature distribution of f(x) = 50 sin 0.1πx and is kept at 0 °c at the ends. (a) using finite difference method and semi-implicit (crank-nicholson) scheme, derive the difference equation for the bar using h = 1 cm and dt = 1 s. (b) solve the temperature at all unknown nodes from t = 0 to 10 s in steps of dt = 4 s. (d) determine the temperature values at x = 3 and 5 cm at t = 20 s using analytical solution. (e) compare the results of analytical and numerical solutions at x = 3 and 5 cm at t = 20 s.

Which is mostly likely why many scientists reject the cold fusion theory

Compare and contrast physical changes with chemical changes.

Problem page combustion of hydrocarbons such as pentane ( c5 h12 ) produces carbon dioxide, a "greenhouse gas." greenhouse gases in the earth's atmosphere can trap the sun's heat, raising the average temperature of the earth. for this reason there has been a great deal of international discussion about whether to regulate the production of carbon dioxide.(a) write a balanced chemical equation, including physical state symbols, for the combustion of liquid pentane into gaseous carbon dioxide and gaseous water. (b) suppose 0.350 kg of pentane are burned in air at a pressure of exactly 1 atm and a temperature of 20.0 degree c. calculate the volume of carbon dioxide gas that is produced.be sure your answer has the correct number of significant digits.