Question

A human brain weighs about 1 kg and contains about $10^{11}$ cells. Assuming that each cell is completely filled with water (density $=1 \mathrm{~g} / \mathrm{mL}$ ), calculate the length of one side of such a cell if it were a cube. If the cells are spread out in a thin layer that is a single cell thick, what is the surface area in square meters? 

   A human brain weighs about 1 kg and contains about $10^{11}$ cells. Assuming that each cell is completely filled with water (density $=1 \mathrm{~g} / \mathrm{mL}$ ), calculate the length of one side of such a cell if it were a cube. If the cells are spread out in a thin layer that is a single cell thick, what is the surface area in square meters?
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Chemistry
Chemistry
Raymond Chang, Jason… 14th Edition
Chapter 1, Problem 101 ↓
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A human brain weighs about 1 kg and contains about $10^{11}$ cells. Assuming that each cell is completely filled with water (density $=1 \mathrm{~g} / \mathrm{mL}$ ), calculate the length of one side of such a cell if it were a cube. If the cells are spread out in a thin layer that is a single cell thick, what is the surface area in square meters?
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A human brain weighs about $1 \mathrm{kg}$ and contains about $10^{11}$ cells. Assuming that each cell is completely filled with water (density $=$ $1 \mathrm{g} / \mathrm{mL}),$ calculate the length of one side of such a cell if it were a cube. If the cells are spread out into a thin layer that is a single cell thick, what is the surface area in square meters?

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A human brain weighs about $1 \mathrm{~kg}$ and contains about $10^{11}$ cells. Assuming that each cell is completely filled with water (density $=1 \mathrm{~g} / \mathrm{mL}$ ), calculate the length of one side of such a cell if it were a cube. If the cells were spread out into a thin layer that was a single cell thick, what would be the total surface area (in square meters) for one side of the cell layer?

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A human brain weighs about $1 \mathrm{~kg}$ and contains about $10^{11}$ cells. Assuming that each cell is com pletely filled with water (density $=1 \mathrm{~g} / \mathrm{mL}$ ), calculate the length of one side of such a cell if it were a cube. If the cells are spread out in a thin layer that is a single cell thick, what is the surface area in square meters?

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Transcript

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00:01 This is an interesting problem where a human brain model is used to help understand the volume and the surface area formulas.
00:10 Let us solve this problem and first note down whatever is given.
00:15 The weight of the human brain is 1 kg.
00:18 Number of cells as given in the human brain is 10th par 11.
00:23 The density of water is 1 gram per milliliter which is assumed to be filled into these cells.
00:29 Now we know that 1 kg is equal to 1 ,000 grams, 1 litre is equal to 1 ,000 cubic centimeter, 1 litre is equal to 1 ,000 milliliter.
00:43 Total fill volume will be equal to weight divided by density, which is equal to 1 multiplied by 1 ,000 gram divided by 1 gram per emil, which can be simplified to 1 ,000 ml or can be written as 2 .000 grams...
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