Howe would you calculate the number of moles of Cl atoms in 3.61x10^24 formula units of magnesium chloride, MgCl_2?

Mar 26, 2017

Use Avogadro’s number to calculate the number of moles of $M g C {l}_{2}$. The number of moles of Cl is twice as much, because the ratio of Cl in $M g C {l}_{2}$ to $M g C {l}_{2}$ is 2:1.

$\frac{3.61 \cdot {10}^{24}}{6.022 \cdot {10}^{23}} = 5.99$
Therefore, there are 12 moles of Cl.

Mar 26, 2017

There are $7.22 \times {10}^{24}$ atoms $\text{Cl}$ in $3.61 \times {10}^{24}$ formula units of $\text{MgCl"_2}$.

Explanation:

Each formula unit of magnesium chloride, $\text{MgCl"_2}$, contains two chlorine, $\text{Cl}$, atoms.

Multiply the number of formula units by the conversion factor

(2color(white)(.)"atoms Cl")/(1color(white)(.)"formula unit MgCl"_2.

3.61xx10^24color(red)cancel(color(black)("formula units MgCl"_2))xx(2color(white)(.)"atoms Cl")/(1color(red)cancel(color(black)("formula units MgCl"_2)))=7.22xx10^24"Cl atoms"
{"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 12, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "https://socratic.org/questions/howe-would-you-calculate-the-number-of-moles-of-cl-atoms-in-3-61x10-24-formula-u", "fetch_time": 1591434495000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2020-24/segments/1590348511950.89/warc/CC-MAIN-20200606062649-20200606092649-00448.warc.gz", "warc_record_offset": 526299953, "warc_record_length": 6090, "token_count": 337, "char_count": 973, "score": 4.0625, "int_score": 4, "crawl": "CC-MAIN-2020-24", "snapshot_type": "latest", "language": "en", "language_score": 0.7133734226226807, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00021-of-00064.parquet"}