CHEM 1000 Midterm: exam1-dl

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31 Jan 2019
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You have 50 minutes to take this 100 point exam. (30 points) below are the xyz coordinates and atomic charges for a hydrogen sul de. 0. 5 qs qh 1 = +0. 25 qh 2 = +0. 25. ~ = x i qi~ri where qi and ~ri are the charges and position vectors of atom i, respectively. Also calculate the length of the dipole moment vector, |~ |. (10 pts) (b) sketch the molecule and its dipole moment vector. (5 pts) (c) show that the dipole moment vector lies in the yz plane. Do so by calculating the dot product between ~ and ~n0, the normal vector to the yz plane. (15 pts): (30 points) determine the solutions to the following equations: (a) x4 = 16. Solve exactly and write the result in cartesian form. (10 pts) (b) 2x3 + 1. 2 x2 x + = 0. Solve approximately by assuming that is very small. (10 pts) (c) 2x3 + 1.