Determine the number of atoms in 2.00 mL of mercury. The density of mercury is 13.5 g\/mL.<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n To determine the number of atoms in 2.00 mL of mercury, we need to follow a few steps, starting with the mass of mercury and converting it into the number of atoms.<\/p>\n\n\n\n Thus, the number of atoms in 2.00 mL of mercury is approximately 8.06\u00d710228.06 \\times 10^{22} atoms.<\/p>\n","protected":false},"excerpt":{"rendered":" Determine the number of atoms in 2.00 mL of mercury. The density of mercury is 13.5 g\/mL. The correct answer and explanation is: To determine the number of atoms in 2.00 mL of mercury, we need to follow a few steps, starting with the mass of mercury and converting it into the number of atoms. […]<\/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-43120","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/43120","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=43120"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/43120\/revisions"}],"predecessor-version":[{"id":43123,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/43120\/revisions\/43123"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=43120"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=43120"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=43120"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
The density of mercury is given as 13.5 g\/mL. Density is defined as mass per unit volume, so the mass of mercury in 2.00 mL can be calculated using the formula: Mass=Density\u00d7Volume\\text{Mass} = \\text{Density} \\times \\text{Volume} Substituting the known values: Mass=13.5\u2009g\/mL\u00d72.00\u2009mL=27.0\u2009g\\text{Mass} = 13.5 \\, \\text{g\/mL} \\times 2.00 \\, \\text{mL} = 27.0 \\, \\text{g}<\/li>\n\n\n\n
To find the number of moles of mercury, we use the molar mass of mercury. The molar mass of mercury (Hg) is 200.59 g\/mol. The number of moles is calculated by dividing the mass of mercury by its molar mass: Moles\u00a0of\u00a0mercury=MassMolar\u00a0Mass=27.0\u2009g200.59\u2009g\/mol\u22480.134\u2009mol\\text{Moles of mercury} = \\frac{\\text{Mass}}{\\text{Molar Mass}} = \\frac{27.0 \\, \\text{g}}{200.59 \\, \\text{g\/mol}} \\approx 0.134 \\, \\text{mol}<\/li>\n\n\n\n
Avogadro’s number is 6.022\u00d710236.022 \\times 10^{23} atoms per mole. To find the number of atoms in the given amount of mercury, we multiply the number of moles by Avogadro\u2019s number: Number\u00a0of\u00a0atoms=0.134\u2009mol\u00d76.022\u00d71023\u2009atoms\/mol\\text{Number of atoms} = 0.134 \\, \\text{mol} \\times 6.022 \\times 10^{23} \\, \\text{atoms\/mol} Number\u00a0of\u00a0atoms\u22488.06\u00d71022\u2009atoms\\text{Number of atoms} \\approx 8.06 \\times 10^{22} \\, \\text{atoms}<\/li>\n<\/ol>\n\n\n\n