1. How many atoms of 234 U are there in 1 kg of natural uranium? 2. A concrete w

Question

1. How many atoms of 234U are there in 1 kg of natural uranium?

2. A concrete with a density of 2.35 g/cm3 has a hydrogen content of 0.0085 weight fraction. What is the atom density of hydrogen in the concrete?

5. What is the de Broglie wavelength of a water molecule moving at a speed of 2400m/s? What is the wavelength of a bullet moving at 400 m/s?

1. How many atoms of 234U are there in 1 kg of natural uranium? 2. A concrete with a density of 2.35 g/cm3 has a hydrogen content of 0.0085 weight fraction. What is the atom density of hydrogen in the concrete? 3. Consider a fast moving particle whose reletivistic mass m is 100 varepsilon greater than its rest mass m0, i.e. m=m0(1+varepsilon). a) show that particles speed relative to light is frac{v}{c} = sqrt{1-frac{1}{(1+varepsilon )^2}} b) For v/c

Explanation / Answer

1)

natural uranium has about 0.0054% of 234U. So that means there is 0.054g of 234U in 1KG of natural Uranium. Then (0.054/234) gives me the moles, and multiplying this by avagadro's constant will give the answer

0.054g/234(g/mol) = 2.307e-4 moles of 234U

2.307e-4 x 6.02e23 = 1.389*1020 moles

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