# What is the molarity of a solution of nitric acid if 0.216 of barium hydroxide is required to neutralize 20.00mL of nitric acid?

Nov 9, 2015

I assume that it is $0.216$ $g$ of barium hydroxide, and $20.00$ $m L$ nitric acid.

#### Explanation:

$0.216$ $g$ $B a {\left(O H\right)}_{2}$ $=$ $\frac{0.216 \cdot g}{171.34 \cdot g \cdot m o {l}^{-} 1}$ $=$ $1.26 \times {10}^{- 3}$ $m o l$ $B a {\left(O H\right)}_{2}$.

Now, of course I need a chemical equation:

$B a {\left(O H\right)}_{2} \left(a q\right) + 2 H N {O}_{3} \rightarrow B a {\left(N {O}_{3}\right)}_{2} \left(a q\right) + 2 {H}_{2} O \left(l\right)$.

Given the stoichiometry of the equation above (what do I mean here?), in $20.00$ $m L$ solution, there were $2.52 \times {10}^{- 3}$ moles of nitric acid present.

So concentration of the $H N {O}_{3} \left(a q\right)$ $=$ $\frac{n}{V}$ $=$ $\frac{2.52 \times {10}^{- 3} m o l}{20.00 \times {10}^{- 3} L}$ $\cong$ $0.1 \cdot m o l \cdot {L}^{-} 1$. You'll have to work out the actual figure; my calculator is never handy.
{"ft_lang_label":"__label__en","ft_lang_prob":0.7943697,"math_prob":1.000007,"size":450,"snap":"2021-31-2021-39","text_gpt3_token_len":117,"char_repetition_ratio":0.10089686,"word_repetition_ratio":0.0,"special_character_ratio":0.23777778,"punctuation_ratio":0.1,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":1.0000062,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-07-25T12:29:20Z\",\"WARC-Record-ID\":\"<urn:uuid:1204d5a4-c190-42b0-8998-3fb43dcb0682>\",\"Content-Length\":\"34569\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:67b216c2-25b0-4d39-8839-5d85bb137513>\",\"WARC-Concurrent-To\":\"<urn:uuid:74f7ffc9-e2c9-4002-b811-de2f12a1a4f1>\",\"WARC-IP-Address\":\"216.239.36.21\",\"WARC-Target-URI\":\"https://socratic.org/questions/what-is-the-molarity-of-a-solution-of-nitric-acid-if-0-216-of-barium-hydroxide-i\",\"WARC-Payload-Digest\":\"sha1:FAMQI56X2RJ7T7IUCCZY56VDSAMDXRMP\",\"WARC-Block-Digest\":\"sha1:NPJIT45DPGKWKFGML242ZRQ42MESB643\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-31/CC-MAIN-2021-31_segments_1627046151672.96_warc_CC-MAIN-20210725111913-20210725141913-00187.warc.gz\"}"}