how many moles are in 2.05 x 10^24 formula units of mgcl2?\n? mol mgcl2\nremember: 1 mole = 6.02 x 10^23…

Explanation:

Step1: Recall mole - formula unit conversion

We know that 1 mole = $6.02\times10^{23}$ formula units. Let $n$ be the number of moles and $N$ be the number of formula units. The conversion formula is $n=\frac{N}{6.02\times10^{23}}$.

Step2: Substitute the given value of $N$

Given $N = 2.05\times10^{24}$ formula units. Then $n=\frac{2.05\times10^{24}}{6.02\times10^{23}}$.

Step3: Perform the calculation

Using the rule of exponents $\frac{a^m}{a^n}=a^{m - n}$, we have $\frac{2.05\times10^{24}}{6.02\times10^{23}}=\frac{2.05}{6.02}\times10^{24 - 23}$. $\frac{2.05}{6.02}\approx0.341$ and $10^{24 - 23}=10^1 = 10$. So $n\approx3.41$ moles.

Answer:

$3.41$ mol $MgCl_2$