Can i see the answer in writing? A hydrogen atom has a diameter of approximately
ID: 1404692 • Letter: C
Question
Can i see the answer in writing?
A hydrogen atom has a diameter of approximately 1.06 x 10^-10 m, as defined by the diameter of the spherical electron cloud around the nucleus. The hydrogen nucleus has a diameter of approximately 2.40 x 10^-15 m. (a) For a scale model, represent the diameter of the hydrogen atom by the length of an American football field (100 yards = 300 ft) and determine the diameter of the nucleus in millimeters. (b) The atom s how many times larger In volume than its nucleus?Explanation / Answer
hydrogen atom 1.06e-10 m / hydrogen nucleus 2.40e-15 m = 44167 X's as large 100 yards @ 0.9144 metres / yard @ 1000mm/metre = 91,440 millimeter with the nucleus being 44,167 times smaller: 91,440 mm / 44167 = 2.07mm your answer is: 2.07mm is the diameter of the nucleus in millimeters, if the diameter of the hydrogen atom was 100 yards ======================================… (b) The atom is how many times larger in volume than its nucleus volume = 4/3 pi r^3 volume of the atom @ diameter of 1.06e-10 m = 8.8247e-21m3 volume of the nucleus @ diameter of2.40e-15 m = 4.5239e-30 m3 8.8247e-21m3 / 4.5239e-30 m3 = your answer: 1.95e9 times larger