{"id":404819,"date":"2023-01-11T15:40:00","date_gmt":"2023-01-11T10:10:00","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/one-litre-of-water-contains-10-7-moles-of-h-ions-degree-of-ionisation-of-water-in-percentage-is\/"},"modified":"2025-06-25T12:42:23","modified_gmt":"2025-06-25T07:12:23","slug":"one-litre-of-water-contains-10-7-moles-of-h-ions-degree-of-ionisation-of-water-in-percentage-is","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/chemistry\/one-litre-of-water-contains-10-7-moles-of-h-ions-degree-of\/","title":{"rendered":"One litre of water contains 10-7 moles of H+ ions. Degree of ionisation of water (in percentage) is"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"One litre of water contains 10-7 moles of H+ ions. Degree of ionisation of water (in percentage) is","custom_permalink":"question\/chemistry\/one-litre-of-water-contains-10-7-moles-of-h-ions-degree-of\/"},"categories":[],"acf":{"question":"<p style=\"text-align:justify\">One litre of water contains 10<sup>-7<\/sup> moles of H<sup>+<\/sup> ions. Degree of ionisation of water (in percentage) is<\/p>\r\n","options":[{"option":"<figure class=\"image image-style-align-left\"><img src=\"http:\/\/latex.codecogs.com\/gif.latex?%5Clarge%201.8%5C%2C%20%5Ctimes%20%7B10%5E%7B%20-%207%7D%7D\" alt=\"large 1.8, times {10^{ - 7}}\"><\/figure><p>&nbsp;<\/p>","correct":false},{"option":"<figure class=\"image image-style-align-left\"><img src=\"http:\/\/latex.codecogs.com\/gif.latex?1.8%5C%2C%20%5Ctimes%20%7B10%5E%7B%20-%209%7D%7D\" alt=\"1.8, times {10^{ - 9}}\"><\/figure><p>&nbsp;<\/p>","correct":true},{"option":"<figure class=\"image image-style-align-left\"><img src=\"http:\/\/latex.codecogs.com\/gif.latex?3.6%5C%2C%20%5Ctimes%20%7B10%5E%7B%20-%207%7D%7D\" alt=\"3.6, times {10^{ - 7}}\"><\/figure><p>&nbsp;<\/p>","correct":false},{"option":"<figure class=\"image image-style-align-left\"><img src=\"http:\/\/latex.codecogs.com\/gif.latex?3.6%5C%2C%20%5Ctimes%20%7B10%5E%7B%20-%209%7D%7D\" alt=\"3.6, times {10^{ - 9}}\"><\/figure><p>&nbsp;<\/p>","correct":false}],"solution":"<p>[H<sup>+<\/sup>] = 10<sup>-7<\/sup>M = C<sub>0<\/sub>\u03b1<\/p><p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/p><figure class=\"image\"><img src=\"https:\/\/latex.codecogs.com\/gif.latex?%5Clarge%20%7BH_2%7DO%5Cleft%28%20%5Cell%20%5Cright%29%20%5Crightleftharpoons%20%7BH%5E%20&amp;plus;%20%7D%5Cleft%28%20%7Baq%7D%20%5Cright%29%20&amp;plus;%20O%7BH%5E%20-%20%7D%5Cleft%28%20%7Baq%7D%20%5Cright%29\" alt=\"large {H_2}Oleft( ell right) rightleftharpoons {H^ + }left( {aq} right) + O{H^ - }left( {aq} right)\"><\/figure><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;t=t<sub>eq<\/sub>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; C<sub>0<\/sub> - C<sub>0<\/sub>\u03b1&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; C<sub>0<\/sub>\u03b1&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp; &nbsp; &nbsp;&nbsp; C<sub>0<\/sub>\u03b1<\/p><figure class=\"image\"><img src=\"https:\/\/latex.codecogs.com\/gif.latex?%5Clarge%20%7BK_i%7D%20%3D%20%5Cfrac%7B%7B%7BC_0%7D%7B%5Calpha%20%5E2%7D%7D%7D%7B%7B1%20-%20%5Calpha%20%7D%7D%20%5Csim%7BC_0%7D%7B%5Calpha%20%5E2%7D%5Cleft%5B%20%7B%5Calpha%20%3C%20%3C%20%3C%201%7D%20%5Cright%5D\" alt=\"large {K_i} = frac{{{C_0}{alpha ^2}}}{{1 - alpha }} sim{C_0}{alpha ^2}left[ {alpha < < < 1} right]\"><\/figure><figure class=\"image\"><img src=\"https:\/\/latex.codecogs.com\/gif.latex?%5Clarge%20%7B%5Calpha%7D%20%3D%20%5Csqrt%7B%5Cfrac%7BK_i%7D%7BC_0%7D%7D\" alt=\"large {alpha} = sqrt{frac{K_i}{C_0}}\"><\/figure><p style=\"text-align:justify;\">K<sub>i<\/sub> (dissociation constant of water) can be expressed as<\/p><figure class=\"image\"><img src=\"https:\/\/latex.codecogs.com\/gif.latex?%5Clarge%20%7BH_2%7DO%5Cleft%28%20%5Cell%20%5Cright%29%20%5Crightleftharpoons%20%7BH%5E%20&amp;plus;%20%7D%5Cleft%28%20%7Baq%7D%20%5Cright%29%20&amp;plus;%20O%7BH%5E%20-%20%7D%5Cleft%28%20%7Baq%7D%20%5Cright%29\" alt=\"large {H_2}Oleft( ell right) rightleftharpoons {H^ + }left( {aq} right) + O{H^ - }left( {aq} right)\"><\/figure><figure class=\"image\"><img src=\"https:\/\/latex.codecogs.com\/gif.latex?%5Clarge%20%7BK_i%7D%20%3D%20%5Cfrac%7B%7B%5Cleft%5B%20%7B%7BH%5E%20&amp;plus;%20%7D%7D%20%5Cright%5D%5Cleft%5B%20%7BO%7BH%5E%20-%20%7D%7D%20%5Cright%5D%7D%7D%7B%7B%5Cleft%5B%20%7B%7BH_2%7DO%7D%20%5Cright%5D%7D%7D%20%3D%20%5Cfrac%7B%7B%7BK_w%7D%7D%7D%7B%7B55.55M%7D%7D\" alt=\"large {K_i} = frac{{left[ {{H^ + }} right]left[ {O{H^ - }} right]}}{{left[ {{H_2}O} right]}} = frac{{{K_w}}}{{55.55M}}\"><\/figure><figure class=\"image\"><img src=\"https:\/\/latex.codecogs.com\/gif.latex?%5Clarge%20%7BK_i%7D%20%3D%20%5Cfrac%7B%7B%7B%7B10%7D%5E%7B%20-%2014%7D%7D%7BM%5E2%7D%7D%7D%7B%7B55.55M%7D%7D%20%3D%201.8%20%5Ctimes%20%7B10%5E%7B%20-%2016%7D%7DM\" alt=\"large {K_i} = frac{{{{10}^{ - 14}}{M^2}}}{{55.55M}} = 1.8 times {10^{ - 16}}M\"><\/figure><p style=\"text-align:justify;\">Concentration of pure water at 25<sup>o<\/sup>C is constant and equal to 55.55 M.<\/p><p>K<sub>i<\/sub> = 1.8&nbsp;<math class=\"wrs_chemistry\" xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u00d7<\/mo><\/math>10<sup>-16<\/sup><\/p><figure class=\"image image-style-align-left\"><img src=\"https:\/\/latex.codecogs.com\/gif.latex?%5Clarge%20%5Calpha%20%3D%20%5Csqrt%20%7B%5Cfrac%7B%7B1.8%20%5Ctimes%20%7B%7B10%7D%5E%7B%20-%2016%7D%7D%7D%7D%7B%7B55.55%7D%7D%7D%20%3D%200.18%20%5Ctimes%20%7B10%5E%7B%20-%208%7D%7D%20%3D%201.8%20%5Ctimes%20%7B10%5E%7B%20-%209%7D%7D\" alt=\"large alpha = sqrt {frac{{1.8 times {{10}^{ - 16}}}}{{55.55}}} = 0.18 times {10^{ - 8}} = 1.8 times {10^{ - 9}}\"><\/figure>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>One litre of water contains 10-7 moles of H+ ions. 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