Chemistry: The Molecular Nature of Matter and Change (Looseleaf)
Chemistry: The Molecular Nature of Matter and Change (Looseleaf)
7th Edition
ISBN: 9780078130519
Author: SILBERBERG
Publisher: MCG
Question
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Chapter 24, Problem 24.62P

(a)

Interpretation Introduction

Interpretation:

Number of Gray (Dose) received by 70 kg person has to be determined using the given data.

Concept Introduction:

Radiation Dose is the dose quantity that explains the effects of ionizing radiation. It describes the quantity of radiation energy that is absorbed by a matter.

  Dose = Energy(Joules)Weight(kg)

The units commonly used to measure dose are gray (Gy) and rad.

  1 Gy = 1 J/kg1 rad = 0.01 J/kg = 0.01 Gy

(a)

Expert Solution
Check Mark

Explanation of Solution

Given information is shown below,

  No. of β particle = 6.0×105Mass of person = 70 kgEnergy of each β particle = 8.74×1014 J

Energy absorbed is determined as follows,

  Energy(J) = (6.0×105 β)(8.74×1014 J/β)= 5.244×108 J

Dose (Gray) received by 95 kg human is calculated as given,

  Dose = (5.244×108 J70 kg)(1 rad0.01 J/kg)(0.01 Gy1 rad)= 7.49×1010 Gy

Dose (Gray) received by 70 kg human is 7.49×10-10 Gy.

(b)

Interpretation Introduction

Interpretation:

Number of mrem received by 70 kg person has to be determined using the given data.

Concept Introduction:

Radiation Dose is the dose quantity that explains the effects of ionizing radiation. It describes the quantity of radiation energy that is absorbed by a matter.

The units commonly used to measure dose are gray (Gy) and rad.

  1 Gy = 1 J/kg1 rad = 0.01 J/kg = 0.01 Gy

The tissue damage caused by the radiation depends on the exposure time, strength of the radiation and tissue type. Tissue damage can be determined by multiplying dose that is absorbed with RBE (Relative Biological Effectiveness).

The two units used to measure amount of damaged tissue in a person is rem(Roentgen Equivalent for Man) and sievert(Sv.)

  No. of rem = no. of rads×RBE1 Sv = 100 rem

(b)

Expert Solution
Check Mark

Explanation of Solution

Given information is shown below,

  No. of β particle = 6.0×105Mass of person = 70 kgEnergy of each β particle = 8.74×1014 JRBE = 1.0

Energy absorbed is determined as follows,

  Energy(J) = (6.0×105 β)(8.74×1014 J/β)= 5.244×108 J

Dose (rad) received is calculated as given,

  Dose = (5.244×108 J70 kg)(1 rad0.01 J/kg)= 7.49×108 rad

Dose (rad) received by 70 kg human is 7.49×108 rad.

Number of mrem received by 70 kg person is determined as shown below,

  No. of rem = no. of rads×RBE= (7.49×108 rad)(1.0)(1 mrem103 rem)= 7.49×105 mrem

Number of mrem received by 70 kg person is 7.49×105 mrem.

(c)

Interpretation Introduction

Interpretation:

Number of sieverts (Sv) received by 70 kg person has to be determined using the given data.

Concept Introduction:

Radiation Dose is the dose quantity that explains the effects of ionizing radiation. It describes the quantity of radiation energy that is absorbed by a matter.

The units commonly used to measure dose are gray (Gy) and rad.

  1 Gy = 1 J/kg1 rad = 0.01 J/kg = 0.01 Gy

The tissue damage caused by the radiation depends on the exposure time, strength of the radiation and tissue type. Tissue damage can be determined by multiplying dose that is absorbed with RBE (Relative Biological Effectiveness).

The two units used to measure amount of damaged tissue in a person is rem(Roentgen Equivalent for Man) and sievert(Sv.)

  No. of rem = no. of rads×RBE1 Sv = 100 rem

(c)

Expert Solution
Check Mark

Explanation of Solution

Given information is shown below,

  No. of β particle = 6.0×105Mass of person = 70 kgEnergy of each β particle = 8.74×1014 JRBE = 1.0

Energy absorbed is determined as follows,

  Energy(J) = (6.0×105 β)(8.74×1014 J/β)= 5.244×108 J

Dose (rad) received is calculated as given,

  Dose = (5.244×108 J70 kg)(1 rad0.01 J/kg)= 7.49×108 rad

Dose (rad) received is 7.49×108 rad.

Number of Sv received by 70 kg person is determined as shown below,

  No. of rem = no. of rads×RBE= (7.49×108 rad)(1.0)= 7.49×108 remNo. of Sv = 7.49×108 rem(0.01 Sv1 rem)= 7.49×1010 Sv

Number of Sv received by 70 kg person is 7.49×1010 Sv.

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Chapter 24 Solutions

Chemistry: The Molecular Nature of Matter and Change (Looseleaf)

Ch. 24.2 - Prob. 24.6AFPCh. 24.2 - Prob. 24.6BFPCh. 24.6 - Prob. 24.7AFPCh. 24.6 - Prob. 24.7BFPCh. 24.7 - Prob. B24.1PCh. 24.7 - Prob. B24.2PCh. 24.7 - Prob. B24.3PCh. 24.7 - Prob. B24.4PCh. 24 - Prob. 24.1PCh. 24 - Prob. 24.2PCh. 24 - Prob. 24.3PCh. 24 - Prob. 24.4PCh. 24 - Prob. 24.5PCh. 24 - Prob. 24.6PCh. 24 - Prob. 24.7PCh. 24 - Prob. 24.8PCh. 24 - Prob. 24.9PCh. 24 - Prob. 24.10PCh. 24 - Prob. 24.11PCh. 24 - Prob. 24.12PCh. 24 - Prob. 24.13PCh. 24 - Prob. 24.14PCh. 24 - Prob. 24.15PCh. 24 - Prob. 24.16PCh. 24 - Prob. 24.17PCh. 24 - Prob. 24.18PCh. 24 - Prob. 24.19PCh. 24 - Prob. 24.20PCh. 24 - Prob. 24.21PCh. 24 - Prob. 24.22PCh. 24 - Prob. 24.23PCh. 24 - Prob. 24.24PCh. 24 - Prob. 24.25PCh. 24 - Prob. 24.26PCh. 24 - Prob. 24.27PCh. 24 - Prob. 24.28PCh. 24 - Prob. 24.29PCh. 24 - Prob. 24.30PCh. 24 - Prob. 24.31PCh. 24 - Prob. 24.32PCh. 24 - Prob. 24.33PCh. 24 - Prob. 24.34PCh. 24 - Prob. 24.35PCh. 24 - Prob. 24.36PCh. 24 - Prob. 24.37PCh. 24 - Prob. 24.38PCh. 24 - Prob. 24.39PCh. 24 - Prob. 24.40PCh. 24 - Prob. 24.41PCh. 24 - Prob. 24.42PCh. 24 - Prob. 24.43PCh. 24 - Prob. 24.44PCh. 24 - Prob. 24.45PCh. 24 - Prob. 24.46PCh. 24 - Prob. 24.47PCh. 24 - Prob. 24.48PCh. 24 - Prob. 24.49PCh. 24 - Prob. 24.50PCh. 24 - Prob. 24.51PCh. 24 - Prob. 24.52PCh. 24 - Prob. 24.53PCh. 24 - Prob. 24.54PCh. 24 - Prob. 24.55PCh. 24 - Prob. 24.56PCh. 24 - Prob. 24.57PCh. 24 - Prob. 24.58PCh. 24 - Prob. 24.59PCh. 24 - Prob. 24.60PCh. 24 - Prob. 24.61PCh. 24 - Prob. 24.62PCh. 24 - Prob. 24.63PCh. 24 - Prob. 24.64PCh. 24 - Prob. 24.65PCh. 24 - Prob. 24.66PCh. 24 - Prob. 24.67PCh. 24 - Prob. 24.68PCh. 24 - Prob. 24.69PCh. 24 - Prob. 24.70PCh. 24 - Prob. 24.71PCh. 24 - Prob. 24.72PCh. 24 - Prob. 24.73PCh. 24 - Prob. 24.74PCh. 24 - Prob. 24.75PCh. 24 - Prob. 24.76PCh. 24 - Prob. 24.77PCh. 24 - Prob. 24.78PCh. 24 - Prob. 24.79PCh. 24 - Prob. 24.80PCh. 24 - Prob. 24.81PCh. 24 - Prob. 24.82PCh. 24 - Prob. 24.83PCh. 24 - Prob. 24.84PCh. 24 - Prob. 24.85PCh. 24 - Prob. 24.86PCh. 24 - Prob. 24.87PCh. 24 - Prob. 24.88PCh. 24 - Prob. 24.89PCh. 24 - Prob. 24.90PCh. 24 - Prob. 24.91PCh. 24 - Prob. 24.92PCh. 24 - Prob. 24.93PCh. 24 - Prob. 24.94PCh. 24 - Prob. 24.95PCh. 24 - Prob. 24.96PCh. 24 - Prob. 24.97PCh. 24 - Prob. 24.98PCh. 24 - Prob. 24.99PCh. 24 - Prob. 24.100PCh. 24 - Prob. 24.101PCh. 24 - Prob. 24.102PCh. 24 - Prob. 24.103PCh. 24 - Prob. 24.104PCh. 24 - Prob. 24.105PCh. 24 - Prob. 24.106PCh. 24 - Prob. 24.107PCh. 24 - Prob. 24.108PCh. 24 - Prob. 24.109PCh. 24 - Prob. 24.110PCh. 24 - Prob. 24.111PCh. 24 - Prob. 24.112PCh. 24 - Prob. 24.113PCh. 24 - Prob. 24.114PCh. 24 - Prob. 24.115PCh. 24 - Prob. 24.116PCh. 24 - Prob. 24.117PCh. 24 - Prob. 24.118PCh. 24 - Prob. 24.119PCh. 24 - Prob. 24.120PCh. 24 - Prob. 24.121PCh. 24 - Prob. 24.122PCh. 24 - Prob. 24.123PCh. 24 - Prob. 24.124PCh. 24 - Prob. 24.125PCh. 24 - Prob. 24.126PCh. 24 - Prob. 24.127PCh. 24 - Prob. 24.128PCh. 24 - Prob. 24.129PCh. 24 - Prob. 24.130PCh. 24 - Prob. 24.131PCh. 24 - Prob. 24.132PCh. 24 - Prob. 24.133PCh. 24 - Prob. 24.134PCh. 24 - Prob. 24.135PCh. 24 - Prob. 24.136PCh. 24 - Prob. 24.137PCh. 24 - Prob. 24.138PCh. 24 - Prob. 24.139PCh. 24 - Prob. 24.140PCh. 24 - Prob. 24.141PCh. 24 - Prob. 24.142PCh. 24 - Prob. 24.143PCh. 24 - Prob. 24.144P
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