a. Explanation Given information : The half-life of isotope of sodium, N 24 a is 15 hours. A sample of this isotope has mass 2 g. Concept Involved: In this problem, the exponential function will be of the form A = a ⋅ b x where a is the initial amount, b is the growth factor, and A is the amount after xhours . The Half-life means the time taken for the initial amount to become half the amount. Calculation: Description Steps With the information provided a = 2 g , when t = 15 h o u r s , the A will be half of a, so A = 1 g . Substitute these values to set up an equation 1 = 2 ⋅ b 15 Use symmetric property of identity to rewrite the equation 2 ⋅ b 15 = 1 Dividing by 2 on both sides and simplifying the fraction 2 ⋅ b 15 2 = 1 2 b 15 = 0.5 Taking 15 t h root on both sides to get b and simplifying the left side by using the exponent rule ( a m ) n = a m n ( b 15 ) 1 / 15 = ( 0 b. To determine To find : the amount remaining after t days c. To determine To estimate : the amount remaining after 4days. d. To determine To find : the time required for the mass to be reduced to 0.01 g

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Chapter 1.4, Problem 32E

To determine

Tofind : the amount remaining after 60 hours.

To determine

To find : the amount remaining after t days

To determine

To estimate : the amount remaining after 4days.

To determine

To find : the time required for the mass to be reduced to 0.01 g

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Chapter 1.4, Problem 31E

Chapter 1.4, Problem 33E

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Chapter 1 Solutions

Biocalculus

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Tofind : the amount remaining after 60 hours.

Solution Summary: The author explains how the exponential function will be of the form A=abx where a is the initial amount, b the growth factor, and A the amount after xhours.

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Tofind : the amount remaining after 60 hours.

To find : the amount remaining after t days

To estimate : the amount remaining after 4days.

To find : the time required for the mass to be reduced to 0.01 g

Want to see the full answer?

Chapter 1 Solutions