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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

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BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

Data from the appendices and the periodic table may be needed for these problems.

The ceramic glaze on a red-orange Fiestaware plate is U2O3 and contains 50.0 grams of 238U, but very little 235U. (a) What is the activity of the plate? (b) Calculate the total energy that will be released by the 238U decay. (c) If energy is worth 12.0 cents per kW (h, what is the monetary value of the energy emitted? (These plates went out of production some 30 years ago, but are still available as collectibles.)

To determine

(a)

The activity of the plate.

Explanation

Given:

The mass of 238U is

  m=50.0g

Concept Used:

The activity of the plate is given as:

  R=0.693Nt12

Calculation:

The number of 238U is

  N=6.02×1023mol-1238g/mol×50g

  N=1.26×1023

The half-life of238U is

  t12=1

(b)

To determine

The total energy released by the 238U decay.

(c)

To determine

The monetary value of the energy emitted if the energy is of the worth of 12.0centsperKW.h

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