Question

question 5

1. how many atoms are in 2 moles of gold?

1.2×10²⁴
1.8×10²⁴
2.4×10²⁴
6.02×10²³

Explanation:

Step1: Use Avogadro's number formula

The formula to find the number of particles (atoms in this case) is \(N = n\times N_{A}\), where \(n\) is the number of moles and \(N_{A}=6.02\times 10^{23}\text{ atoms/mol}\). Given \(n = 2\space mol\).

Step2: Substitute values into the formula

Substitute \(n = 2\) and \(N_{A}=6.02\times 10^{23}\) into \(N = n\times N_{A}\). So \(N=2\times6.02\times 10^{23}\).

Step3: Calculate the result

\(2\times6.02\times 10^{23}=12.04\times 10^{23}=1.204\times 10^{24}\approx1.2\times 10^{24}\) (rounded to one significant figure as per the options' format).

Answer:

1.2 x 10²⁴