Chemistry: Principles and Practice
Chemistry: Principles and Practice
3rd Edition
ISBN: 9780534420123
Author: Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher: Cengage Learning
Question
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Chapter 1, Problem 1.71QE

(a)

Interpretation Introduction

Interpretation:

A light-year is the distance that is travelled by light in one year.  The distance has to be calculated in miles represented by one light year, where the length of a year is 365.25 days and the light travels at a rate of 3.00×108m/s.

(a)

Expert Solution
Check Mark

Explanation of Solution

Given that light travels at a rate of 3.00×108m/s.

The conversion factor is used to convert miters into miles.

  1km=103m1mi=1.609kmDistance=3.00×108ms×(1km103m)×(1mi1.609km) =1.86×105mis

The conversion factor is used to convert seconds into light year.

  1hr=3600s24hr=1day1year(lightyear)=365.25daysDistance=1.86×105mis×(3600s1hr)×(24hr1day)×(365.25days1year) =5.87×1012milightyear

(b)

Interpretation Introduction

Interpretation:

The length of a year is 365.25 days and the light travels at a rate of 3.00×108m/s.The distance to the nearest star is 4.36 light years.  The distance has to be calculated in meters.  The result has to be expressed in scientific notation and with all the zeros.

(b)

Expert Solution
Check Mark

Explanation of Solution

Given that light travels at a rate of 3.00×108m/s.

The given distance is converted from seconds to one light year.

  1hr=3600s24hr=1day1year(lightyear)=365.25daysDistance=3.00×108ms×(3600s1hr)×(24hr1day)×(365.25days1year) =9.47×1015mlightyearlighttravels9.47×1015mperonelightyear

The distance travelled by light in 4.36 light years is

  Distance=9.47×1015m1lightyear×4.36lightyears =4.13×1016m =41,300,000,000,000,000m

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Chapter 1 Solutions

Chemistry: Principles and Practice

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