*Chapter 28, Problem 027 Your answer is partially correct. Try again A certain c
ID: 1773410 • Letter: #
Question
*Chapter 28, Problem 027 Your answer is partially correct. Try again A certain commercial mass spectrometer is used to separate uranium ions of mass 3.92 × 10-25 kg and charge 3.20 × 10-19 C from related species. The ions are accelerated through a potential difference of 88.4 kV and then pass into a uniform magnetic field, where they are bent in a path of radius 1.13 m. After traveling through 180° and passing through a slit of width 1.32 mm and height 0.798 cm, they are collected in a cup. (a) What is the magnitude of the (perpendicular) magnetic field in the separator? If the machine is used to separate out 1.22 mg of material per hour, calculate (b) the current of the desired ions in the machine and (c) the thermal energy produced in the cup in 1.32 h Detector (a) Number unit, (b) NumberTT 277 (c) Numbe.16E5 Units UnExplanation / Answer
b)
m = mass collected = 1.22 mg = (1.22 x 10-3 ) (10-3) kg = 1.22 x 10-6 kg
M = mass of one ion = 3.92 x 10-25 kg
n = number of ions = m/M = (1.22 x 10-6 )/(3.92 x 10-25) = 3.11 x 1018
Q = charge = n q = (3.11 x 1018 ) (3.20 x 10-19) = 0.9952 C
t = time = 1 h = 3600 sec
current is given as
i = Q/t = 0.9952/3600 = 2.76 x 10-4 A
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.