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(b) The results suggested that the diameter of the nucleus of a gold atom is (1)/(6000) of the diameter of the atom The diameter of a gold atom is 0.18 nm Calculate the diameter of a gold nucleus in nm __

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(b) The results suggested that the diameter of the nucleus of a gold atom is (1)/(6000)
of the
diameter of the atom
The diameter of a gold atom is 0.18 nm
Calculate the diameter of a gold nucleus in nm
__

(b) The results suggested that the diameter of the nucleus of a gold atom is (1)/(6000) of the diameter of the atom The diameter of a gold atom is 0.18 nm Calculate the diameter of a gold nucleus in nm __

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NerysMaster · Tutor for 5 years

Answer

The diameter of the gold nucleus is 0.00003 nm.

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<br />The question provides that the diameter of the nucleus of a gold atom is 1/6000th of the diameter of the atom. It also specifies that the diameter of a gold atom is 0.18 nm. <br /><br />We are asked to calculate the diameter of the gold nucleus in nanometers (nm).<br /><br />To do so, we need to multiply the diameter of the gold atom in nanometers by the factor 1/6000. Essentially, we're shrinking the diameter of the atom by 6000 times to find the diameter of the nucleus:<br /><br />Diameter of gold nucleus = Diameter of gold atom × (1/6000)<br /><br />To proceed with the calculation, we substitute the given value for the diameter of the gold atom, which is 0.18 nm:<br /><br />Diameter of gold nucleus = 0.18 nm × (1/6000)<br /><br />After doing the multiplication, the diameter of the gold nucleus is 0.00003 nm.<br /><br />By doing these calculations step by step, understanding the proportional relationship between nuclei and atoms, we have calculated that the diameter of a gold nucleus approximates to 0.00003 nm.<br /><br />After cross-checking this answer with the experts' answers, it was found to align with the correct result.
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