{"id":24998,"date":"2025-06-18T19:56:45","date_gmt":"2025-06-18T19:56:45","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=24998"},"modified":"2025-06-18T19:56:51","modified_gmt":"2025-06-18T19:56:51","slug":"a-student-found-the-mass-of-camphor-to-be-162-5-g","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/a-student-found-the-mass-of-camphor-to-be-162-5-g\/","title":{"rendered":"A student found the mass of camphor to be 162.5 g"},"content":{"rendered":"\n<p>A student found the mass of camphor to be 162.5 g. The actual mass of camphor is 152.23 g. What is the percent error of this experiment? <\/p>\n\n\n\n<p>A) 106.7% <\/p>\n\n\n\n<p>B) 6.320% <\/p>\n\n\n\n<p>C) 93.68% <\/p>\n\n\n\n<p>D) 6.746%<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p>To calculate <strong>percent error<\/strong>, we use the formula: Percent&nbsp;Error=\u2223Measured&nbsp;Value\u2212Actual&nbsp;ValueActual&nbsp;Value\u2223\u00d7100\\text{Percent Error} = \\left| \\frac{\\text{Measured Value} &#8211; \\text{Actual Value}}{\\text{Actual Value}} \\right| \\times 100<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Given:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Measured value (experimental value)<\/strong> = 162.5 g<\/li>\n\n\n\n<li><strong>Actual value (true value)<\/strong> = 152.23 g<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Subtract actual from measured<\/h3>\n\n\n\n<p>162.5\u2212152.23=10.27162.5 &#8211; 152.23 = 10.27<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Divide the difference by the actual value<\/h3>\n\n\n\n<p>10.27152.23\u22480.06746\\frac{10.27}{152.23} \\approx 0.06746<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Multiply by 100 to get percentage<\/h3>\n\n\n\n<p>0.06746\u00d7100=6.746%0.06746 \\times 100 = 6.746\\%<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Correct Answer: <strong>D) 6.746%<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udca1 Explanation (300 words):<\/h3>\n\n\n\n<p><strong>Percent error<\/strong> is a way to express how inaccurate a measured value is compared to the actual or accepted value. It helps evaluate the precision of an experimental process. A smaller percent error indicates that the measurement was closer to the true value, meaning higher accuracy.<\/p>\n\n\n\n<p>In this case, the student measured the mass of camphor to be <strong>162.5 grams<\/strong>, while the actual mass was <strong>152.23 grams<\/strong>. The student <strong>overestimated<\/strong> the mass. To quantify this overestimation, we calculate the percent error by taking the <strong>absolute difference<\/strong> between the measured and actual value, then dividing that by the actual value to see how large the error is <strong>relative<\/strong> to the correct value.<\/p>\n\n\n\n<p>Here, the error is <strong>10.27 grams<\/strong>, which is about <strong>6.746%<\/strong> of the actual mass. This means the student&#8217;s result was <strong>6.746% higher<\/strong> than the true value.<\/p>\n\n\n\n<p>A percent error of around 6.7% is moderately acceptable depending on the precision required in the experiment. In high-accuracy scientific work, smaller errors (often below 1%) are expected, but in introductory lab settings, an error under 10% is often considered reasonable.<\/p>\n\n\n\n<p>Understanding percent error helps students develop better measurement techniques and identify where improvements can be made in their experimental methods, whether due to instrument calibration, human error, or procedural flaws.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A student found the mass of camphor to be 162.5 g. The actual mass of camphor is 152.23 g. What is the percent error of this experiment? A) 106.7% B) 6.320% C) 93.68% D) 6.746% The correct answer and explanation is: To calculate percent error, we use the formula: Percent&nbsp;Error=\u2223Measured&nbsp;Value\u2212Actual&nbsp;ValueActual&nbsp;Value\u2223\u00d7100\\text{Percent Error} = \\left| \\frac{\\text{Measured Value} [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-24998","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24998","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=24998"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24998\/revisions"}],"predecessor-version":[{"id":25002,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24998\/revisions\/25002"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=24998"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=24998"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=24998"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}