For this assignment you submit answers by question parts. The number of submissi

Question

For this assignment you submit answers by question parts. The number of submission remaining for each question part only changes if you submit or change the answer. Assignment Scoring You best submission for each question part is used for your score. A structural 1 beam is made of steel. A view of its cross-section and its dimensions are shown in Figure P1.11. The density of steel is 7.56 times 10^3 kg/m^3. (a) What is the mass of a section 1.25 m long? b) Assume that the atoms are predominantly iron, with atomic mass 55.9 u. How many atoms are there in this section?

Explanation / Answer

Given,

density of steel = rho = 7.56 x 10^3 kg/m^3

a)Density is given by:

density = mass/volume

mass = density x volume

mass = 7.56 x 10^3 [ (0.15 x 0.01 x 1.25) + (0.01 x 1.25 x 0.34) + (0.01 x 1.25 x 0.15) = 60.48 kg

Hence, m = 60.48 kg

b)m = 55.9 amu

m = 60.48 kg = 60480 grams

N = 60480 x 1 mol x 6.023 x 10^23/55.9 x 1 mol = 6.516 x 10^26 atoms

Hence, N = 6.516 x 10^26 atoms.

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