/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 31 Estimate the number of \(\mathrm... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 13: Problem 31

Estimate the number of \(\mathrm{H}_{2} \mathrm{O}\) molecules in a human body of mass \(80.2 \mathrm{kg} .\) Assume that, on average, water makes up about $62 \%$ of the mass of a human body.

Short Answer

Expert verified
Answer: \(1.66 \times 10^{27}\) water molecules

Step by step solution

01

Calculate the mass of water in the body

To calculate the mass of water in an 80.2 kg human body, we need to find 62% of the body's mass: Total mass of water = (62/100) 脳 80.2 kg Total mass of water 鈮� 49.724 kg
02

Find the number of moles of water

We can determine the number of moles of water (H2O) present in 49.724 kg by using the molecular weight of water, which is 18.015 g/mol. First, we need to convert the mass of water from kg to g to match the unit of molecular weight: Total mass of water = 49.724 kg * 1000 g/kg 鈮� 49724 g Now, we will divide the mass by the molecular weight of water: Number of moles of H2O = 49724 g / 18.015 g/mol 鈮� 2758.34 moles
03

Calculate the number of water molecules

Final step is to convert the number of moles of water into the number of molecules using Avogadro's number (\(6.022 \times 10^{23}\) molecules/mol): Number of molecules of H2O = 2758.34 moles 脳 \(6.022 \times 10^{23}\) molecules/mol 鈮� \(1.66 \times 10^{27}\) molecules So, there are approximately \(1.66 \times 10^{27}\) water molecules in a human body of mass 80.2 kg.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A 2.4 -m length of copper pipe extends directly from a hot-water heater in a basement to a faucet on the first floor of a house. If the faucet isn't fixed in place, how much will it rise when the pipe is heated from $20.0^{\circ} \mathrm{C}\( to \)90.0^{\circ} \mathrm{C} .$ Ignore any increase in the size of the faucet itself or of the water heater.
If 2.0 mol of nitrogen gas \(\left(\mathrm{N}_{2}\right)\) are placed in a cubic box, \(25 \mathrm{cm}\) on each side, at 1.6 atm of pressure, what is the rms speed of the nitrogen molecules?
A cylinder with an interior cross-sectional area of \(70.0 \mathrm{cm}^{2}\) has a moveable piston of mass \(5.40 \mathrm{kg}\) at the top that can move up and down without friction. The cylinder contains $2.25 \times 10^{-3} \mathrm{mol}\( of an ideal gas at \)23.0^{\circ} \mathrm{C} .$ (a) What is the volume of the gas when the piston is in equilibrium? Assume the air pressure outside the cylinder is 1.00 atm. (b) By what factor does the volume change if the gas temperature is raised to \(223.0^{\circ} \mathrm{C}\) and the piston moves until it is again in equilibrium?
What is the mass density of air at \(P=1.0\) atm and $T=(a)-10^{\circ} \mathrm{C}\( and \)(\mathrm{b}) 30^{\circ} \mathrm{C} ?$ The average molecular mass of air is approximately 29 u.
A cylindrical brass container with a base of \(75.0 \mathrm{cm}^{2}\) and height of \(20.0 \mathrm{cm}\) is filled to the brim with water when the system is at \(25.0^{\circ} \mathrm{C} .\) How much water overflows when the temperature of the water and the container is raised to \(95.0^{\circ} \mathrm{C} ?\)
See all solutions

Recommended explanations on Physics Textbooks

Electric Charge Field and Potential

Read Explanation

Torque and Rotational Motion

Read Explanation

Rotational Dynamics

Read Explanation

Waves Physics

Read Explanation

Classical Mechanics

Read Explanation

Famous Physicists

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.