Question

use the references to access important values if needed for this question. how many grams of cs are there in a sample of cs that contains 1.16×10²⁴ atoms? grams

Explanation:

Step1: Calculate the number of moles

Use Avogadro's number ($N_A = 6.022\times 10^{23}\text{ atoms/mol}$). The number of moles ($n$) of Cs is given by the formula $n=\frac{N}{N_A}$, where $N = 1.16\times 10^{24}$ atoms.
$n=\frac{1.16\times 10^{24}\text{ atoms}}{6.022\times 10^{23}\text{ atoms/mol}}\approx1.93\text{ mol}$

Step2: Calculate the mass

The molar mass of Cs (cesium) is $M = 132.91\text{ g/mol}$. The mass ($m$) of Cs is calculated using the formula $m = n\times M$.
$m=1.93\text{ mol}\times132.91\text{ g/mol}\approx256\text{ g}$

Answer:

256