11) The half-life of Aluminum-28 from your lab is 2.2414 minutes. If you start with 13 mg of the material, how long will it take for the amount of Al-28 to drop to 1.3 mg?

Chemistry: Matter and Change
1st Edition
ISBN:9780078746376
Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
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Chapter24: Nuclear Chemistry
Section: Chapter Questions
Problem 57A
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11) The half-life of Aluminum-28 from your lab is 2.2414 minutes. If you start with 13 mg
of the material, how long will it take for the amount of Al-28 to drop to 1.3 mg?
Transcribed Image Text:11) The half-life of Aluminum-28 from your lab is 2.2414 minutes. If you start with 13 mg of the material, how long will it take for the amount of Al-28 to drop to 1.3 mg?
Useful Information!!!
USEFUL CONVERSION FACTORS AND RELATIONSHIPS
Length
Energy (derived)
SI unit: meter (m)
Sl unit: Joule (1)
1 km = 0.62137 mi
Atomic mass unit
Mass
1 mi-5280 ft
= 1.6093 km
1 m = 1.0936 yd
1 in. = 2.54 cm (exactly)
1 cm = 0.39370 in.
1A-1010m
Sl unit: kilogram (kg)
1 kg = 2.2046 lb
1 lb = 453.59 g
= 16 oz
Pressure (derived)
Sl unit: Pascal (Pa)
1 Pa=1N/m²
= 1 kg/m-s²
1J-1 kg-m²/s²
1J-0.2390 cal
=1CXIV
1 cal = 4.184J
1g
1 eV = 1.602 × 10-J
Avogadro's number
Boltzmann's constant k
Electron charge
N
e
Faraday's constant
F
Gas constant
R
Mass of electron
m
1 atm-101,325 Pa
-760 torr
Mass of neutron
- 14.70 lb/in²
1 bar = 105 Pa
1 amu 1.66053873 x 10g
Temperature
Sl unit: Kelvin (K)
0K = -273.15°C
=-459.67°F
K=°C+273.15
"F=3°C + 32°
Volume (derived)
Sl unit: cubic meter (m³)
1L=10³m³
-1 dm³
-10³ cm³
= 1.0567 qt
1 gal-4 qt
=3.7854 L
1 cm³ 1 ml.
1 in³ 16.4 cm³
"Fundamental constants are listed at the National Institute of Standards and Technology website
http://physics.nist.gov/PhysRefData/contents.html
Mass of proton
FUNDAMENTAL CONSTANTS*
1 amu = 1.66053873 x 10-24 g
= 6.02214199 × 1023 amu
=6.02214199 x 1023/mol
= 1.3806503 x 1023 J/K
= 1.602176462 x 10-19 C
=9.64853415 x 10 C/mol
=0.082058205 L-atm/mol-K
= 8.314472 J/mol-K
=5.485799 x 10 amu
= 9.10938188 x 1028 g
= 1.0086649 amu
= 1.67492716 x 1024 g
= 1.0072765 amu
= 1.67262158 x 1024 g
Pi
Π
= 3.1415927
Planck's constant
h
= 6.62606876 × 10:34 J-s
Speed of light
с
= 2.99792458 × 10° m/s
Particle
symbol
mass
charge
balancing symbol
Proton
р
1.00728
+1
1H
Neutron
n
1.00867
0
on
Electron
e-
Beta
B-
0.0005486
-1
-1ẞ or e
Positron
B+
0.0005486
+1
B
Alpha
a
4.00260
0
4₂He
Gamma
V
0
0
%Y
Transcribed Image Text:Useful Information!!! USEFUL CONVERSION FACTORS AND RELATIONSHIPS Length Energy (derived) SI unit: meter (m) Sl unit: Joule (1) 1 km = 0.62137 mi Atomic mass unit Mass 1 mi-5280 ft = 1.6093 km 1 m = 1.0936 yd 1 in. = 2.54 cm (exactly) 1 cm = 0.39370 in. 1A-1010m Sl unit: kilogram (kg) 1 kg = 2.2046 lb 1 lb = 453.59 g = 16 oz Pressure (derived) Sl unit: Pascal (Pa) 1 Pa=1N/m² = 1 kg/m-s² 1J-1 kg-m²/s² 1J-0.2390 cal =1CXIV 1 cal = 4.184J 1g 1 eV = 1.602 × 10-J Avogadro's number Boltzmann's constant k Electron charge N e Faraday's constant F Gas constant R Mass of electron m 1 atm-101,325 Pa -760 torr Mass of neutron - 14.70 lb/in² 1 bar = 105 Pa 1 amu 1.66053873 x 10g Temperature Sl unit: Kelvin (K) 0K = -273.15°C =-459.67°F K=°C+273.15 "F=3°C + 32° Volume (derived) Sl unit: cubic meter (m³) 1L=10³m³ -1 dm³ -10³ cm³ = 1.0567 qt 1 gal-4 qt =3.7854 L 1 cm³ 1 ml. 1 in³ 16.4 cm³ "Fundamental constants are listed at the National Institute of Standards and Technology website http://physics.nist.gov/PhysRefData/contents.html Mass of proton FUNDAMENTAL CONSTANTS* 1 amu = 1.66053873 x 10-24 g = 6.02214199 × 1023 amu =6.02214199 x 1023/mol = 1.3806503 x 1023 J/K = 1.602176462 x 10-19 C =9.64853415 x 10 C/mol =0.082058205 L-atm/mol-K = 8.314472 J/mol-K =5.485799 x 10 amu = 9.10938188 x 1028 g = 1.0086649 amu = 1.67492716 x 1024 g = 1.0072765 amu = 1.67262158 x 1024 g Pi Π = 3.1415927 Planck's constant h = 6.62606876 × 10:34 J-s Speed of light с = 2.99792458 × 10° m/s Particle symbol mass charge balancing symbol Proton р 1.00728 +1 1H Neutron n 1.00867 0 on Electron e- Beta B- 0.0005486 -1 -1ẞ or e Positron B+ 0.0005486 +1 B Alpha a 4.00260 0 4₂He Gamma V 0 0 %Y
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