{"id":398647,"date":"2023-01-11T07:28:30","date_gmt":"2023-01-11T01:58:30","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/if-75-of-a-first-order-reaction-was-completed-in-90-minutes-60-of-the-same-reaction-would-be-completed-in-approximately-in-minutes-_______________-take-log-2-0-30-log-2-5-0-40\/"},"modified":"2025-06-19T20:01:59","modified_gmt":"2025-06-19T14:31:59","slug":"if-75-of-a-first-order-reaction-was-completed-in-90-minutes-60-of-the-same-reaction-would-be-completed-in-approximately-in-minutes-_______________-take-log-2-0-30-log-2-5-0-40","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/chemistry\/if-75-of-a-first-order-reaction-was-completed-in-90-minutes\/","title":{"rendered":"If 75% of a first order reaction was completed in 90 minutes, 60% of the same reaction would be completed in approximately (in minutes) _______________ .(Take : log 2 = 0.30; log 2.5 = 0.40)"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"If 75% of a first order reaction was completed in 90 minutes, 60% of the same reaction would be completed in approximately (in minutes) _______________ .(Take : log 2 = 0.30; log 2.5 = 0.40)","custom_permalink":"question\/chemistry\/if-75-of-a-first-order-reaction-was-completed-in-90-minutes\/"},"categories":[],"acf":{"question":"<p>If 75% of a first order reaction was completed in 90 minutes, 60% of the same reaction would be completed in approximately (in minutes) _______________ .<\/p><p>(Take : log 2 = 0.30; log 2.5 = 0.40)<\/p>","options":null,"solution":"<p>According to the first order kinetics:<\/p><p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"normal\">k<\/mi><mo>=<\/mo><mfrac><mrow><mn>2<\/mn><mo>.<\/mo><mn>303<\/mn><\/mrow><mi mathvariant=\"normal\">t<\/mi><\/mfrac><mi>log<\/mi><mfrac><mfenced close=\"]\" open=\"[\"><msub><mi mathvariant=\"normal\">A<\/mi><mi mathvariant=\"normal\">o<\/mi><\/msub><\/mfenced><mfenced close=\"]\" open=\"[\"><msub><mi mathvariant=\"normal\">A<\/mi><mi mathvariant=\"normal\">t<\/mi><\/msub><\/mfenced><\/mfrac><\/math><\/p><p>When 75% reaction was completed.<\/p><p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"normal\">k<\/mi><mo>=<\/mo><mfrac><mrow><mn>2<\/mn><mo>.<\/mo><mn>303<\/mn><\/mrow><mn>90<\/mn><\/mfrac><mi>log<\/mi><mfrac><mn>100<\/mn><mn>25<\/mn><\/mfrac><mspace linebreak=\"newline\">&nbsp;<\/mspace><mi mathvariant=\"normal\">k<\/mi><mo>=<\/mo><mfrac><mrow><mn>2<\/mn><mo>.<\/mo><mn>303<\/mn><\/mrow><mn>90<\/mn><\/mfrac><mi>log<\/mi><mo>&nbsp;<\/mo><mn>4<\/mn><mspace linebreak=\"newline\">&nbsp;<\/mspace><mi mathvariant=\"normal\">k<\/mi><mo>=<\/mo><mn>0<\/mn><mo>.<\/mo><mn>0154<\/mn><mo>&nbsp;<\/mo><msup><mi>min<\/mi><mrow><mo>-<\/mo><mn>1<\/mn><\/mrow><\/msup><\/math><\/p><p>Time required to completed 60% of reaction.<\/p><p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"normal\">t<\/mi><mo>=<\/mo><mfrac><mrow><mn>2<\/mn><mo>.<\/mo><mn>303<\/mn><\/mrow><mrow><mn>0<\/mn><mo>.<\/mo><mn>0154<\/mn><\/mrow><\/mfrac><mi>log<\/mi><mfrac><mn>100<\/mn><mn>40<\/mn><\/mfrac><mspace linebreak=\"newline\">&nbsp;<\/mspace><mi mathvariant=\"normal\">t<\/mi><mo>=<\/mo><mfrac><mrow><mn>2<\/mn><mo>.<\/mo><mn>303<\/mn><mo>\u00d7<\/mo><mn>0<\/mn><mo>.<\/mo><mn>4<\/mn><\/mrow><mrow><mn>0<\/mn><mo>.<\/mo><mn>0154<\/mn><mo>&nbsp;<\/mo><msup><mi>min<\/mi><mrow><mo>-<\/mo><mn>1<\/mn><\/mrow><\/msup><\/mrow><\/mfrac><mo>=<\/mo><mn>60<\/mn><mo>&nbsp;<\/mo><mi>min<\/mi><\/math><\/p>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>If 75% of a first order reaction was completed in 90 minutes, 60% of the same reaction would be completed in approximately (in minutes) _______________ .(Take : log 2 = 0.30; 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