Plutonium isotopes undergo decay, producing heat. Plutonium isotope 239 (Pu-239) has 1.9 watts per kilogram W of decay kg heat. How much heat, in units of calories (cal, will 3 mole mol of Pu- 239 release after decaying for two hours h? Assume plutonium has a molecular weight of 244 grams per mole

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Chapter2: The Kinetic Theory Of Gases
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show all the formulas you used PLEASE it’s really important for me that you show your work and formulas you used to resolve the problem.
Plutonium isotopes undergo decay, producing heat. Plutonium
isotope 239 (Pu-239) has 1.9 watts per kilogram W
of decay
kg
heat.
How much heat, in units of calories cal, will 3 mole mol of Pu-
239 release after decaying for two hours h?
Assume plutonium has a molecular weight of 244 grams per mole
mol
Transcribed Image Text:Plutonium isotopes undergo decay, producing heat. Plutonium isotope 239 (Pu-239) has 1.9 watts per kilogram W of decay kg heat. How much heat, in units of calories cal, will 3 mole mol of Pu- 239 release after decaying for two hours h? Assume plutonium has a molecular weight of 244 grams per mole mol
Unit Conversion Table
SI Prefixes and Dimensions Table
Angle
1 rad
e rad
SI Prefixes
Example: 1 milligram (mg]- 1 x 10 grams (gd
Power
I hp
57.3
deg
deg
745.7
Example: 1 Megajoule (MJ] - 1x 10 joules (J)
Numbers Greater Than One
180
3.412
BTU / h
Numbers Less Than One
0.00134
hp
cal / min
Prefix
Abbreviation
Prefix
Abbreviation
Area
1 W
Power of 10
Prefix
Power of 10
Prefis
14.34
4,047
m
t Ib /s
-1
deci-
1
deca
-
da
0.7376
1 acre
0.00156
mi
-2
centi-
hecto-
h
1 mi
640
acre
Pressure
3
milli-
3.
kilo-
k
m
1.01325
bar
r
Mega
Energy
1 BTU
33.9
t H0
-6
micro
6.
M
1,055.06
J
1 atm
29.92
in Hg
-9
nano
Giga-
I cal
4.184
J
760
mm Hg
-12
pico-
12
Tera-
т
0.239
cal
101,325
Pa
9.48 10 ITU
0.7376
1J
-15
femto-
15
Peta-
14.7
psi
t Ib
-18
atto-
18
Exa-
E
1 kW h
3,600,000 J
Time
-21
21
Zetta
zepto-
1d
24
h
Force
-24
yocto-
24
Yotta-
1h
60
min
0.225
Ib
1 min
I yr
IN
60
1x 10
dyne
Fundamental Dimensions and Base SI Units
365
I kip
1,000
Ib
Temperature Change
electric current A ampere
N amount
|mol) mole
Length
J light intensity
Jed) candela
T time
Is]
second
1m
3.28
ft
IK
1.8
1 km
1 in
0.621
mi
1.8
"R
L length
(m] meter
O temperature
[K) kelvin
254
cm
12
Volume
M mass
in
(kgl kilogram
5,280
ft
3.785
L
1 mi
1 pal
1.609
km
4
qt
cm or ce
Common Derived, Named Units in the SI System
Base SI Units
1 yd
3
ft
1,000
SI Unit
Derived From
0.264
gal
Dimensions
Dimension
Mass
0.0353
ML
F-ma
(F) newton IN Force (mass (acceleration
1N - 1
I kg
1 Ib
1 shug
1 ton (metric
1 ton (US
2.205
Ib
Force
A oz
cm or ce
33.8
16
oz
I ml.
32.2
Ib
1 m
1,000
L.
ML?
Energy (E) joule
E-Fd
PI Energy (force) (distance)
1J-1N m -1
2,204.62
Ib
16
d oz
pt
I gt
2,000
Ib
2
pt
ML?
(P) watt (W
1w - 1!-1
Power
Named Units
Power - jenergyi / (time)
farad
1 (A s) / V
1 (V s) / A
pascal
poise
1 Pa
IN/ m
1g/ (cm s)
1 em /s
Pressure (P) pascal (Pal Pressure force) / (area)
P-F/A
1 Pa - 1-1
M
henry
1P
LT2
1H
hertz
I Ha
1 St
stoke
IN m
1 V
V IWIA
V-P/I
Voltage - (power) / (current)
ML?
joule
1J
1Nm
volt
Voltage (V) volt
1V -1"-1
T'I
1 (kg m) / s
1v/A
newton
1N
watt
1 W
1J/s
ohm
10
Thinking Like an Engineer 4e
An Aetive Learning Agpproach
Thinking Like an Engineer 4e
An Aetive Learning Approach
an. P
Cte
Geometric Formulas and Physical Constants Table
Equations Table (in order of appearance in textbook
Geometric Formulas
Distance, Velocity and Acceleration
Newton's Second Law
(8.1 Weight
18.2
Rectangular Parallelepiped
Volume - abe
Surface Area 2 (ab+aeb e)
Rectangle
d- vt
F - m a
w = mg
Areaab
v -at
Perimeter - 2 a+ 2b
Density
8.3 Specific Gravity
[8.3] Specific Weight
[8.3]
SG = Pobject
Pwater
w
m
V
Cirele
Sphere
Y=
Arear
Volume -r
Molecular Weight
8.4 Molarity
Temperature: "F to "C
18.5)
Circumference - 2*r
Surface Area4sr
T[*F] – 32 T["C] – 0
Diameter- 2r
MW =
V
180
100
Triangle
Right Cireular Cone
Temperature: "C to K
[8.5 Temperature: "F to "R
[8.5 Pressure
18.6)
Area-bH
Volume -rH
T (K] = T["C] + 273
T ("R] - T ("F] + 460
F
P =
Torus
Right Circular Cylinder
8.6 ideal Gas Law
18.7)
Pascals Law ydrostatic Presure R6 Pressure: Total
Volume -r H
Volume - 2 R
Phydre PgH
Protal - Pydre + Purface
PV-n RT
Lateral Surface Area -2r H
Energy: Work
[8.8 Energy: Potential
[8.8 Energy: Kinetie, translational 8.8
Physical Constants [Value and Units]
W - F Ax
PE - mg AH
KE = m Av?
3x 10
speed of light in a vacuum
Energy: Thermal
[8.8 Power
8.9 Power
8.9)
speed of sound in air (20 "C)
343.59
E
Q-m Cp AT
P = Pout + Post
Euler number (base of natural logarithm) 2.71828..
e
elementary charge of an electron
1.602 x 10 "C
9.65 x 10
Efficiency
[8.10 Current, elated t charge
[8.11) Ohm's Law of Resistance [8.11]
F Faraday's constant
Pout
Pin
Q-It
V-IR
golden ratio
1.61803..
Joule's First Law of Power [8.11 Capacitance, related to charge 8.11] Energy: Capacitor
[8.11)
acceleration due to gravity
9.8 on Earth; 1.6on Earth's Moon
v2
P-VI-=PR
R
Q-CV
E =; Cv?
N
G gravitational constant
6.67 x 10-
k Boltzmann constant
1.38065 x 10
Inductance
8.11 Energy: Inductor
[8.11] Hooke's Law for Spring
[12.3]
dl
NA Avogadro number
6.022 x 10
V =La
E =LF
2
F-k x
ratio of circle circumference to diamcter
3.14159..
Newton's Law of Viscosity [12.3] Kinematic Viscosity
[12.3
Elastic Materials Youngs Modulan (12
R
ideal gas constant
0.08206 - 8314
PaL
Δν
6 = EE
melK
mal K
Ay
11분-1000분-624는
p density of water
Transcribed Image Text:Unit Conversion Table SI Prefixes and Dimensions Table Angle 1 rad e rad SI Prefixes Example: 1 milligram (mg]- 1 x 10 grams (gd Power I hp 57.3 deg deg 745.7 Example: 1 Megajoule (MJ] - 1x 10 joules (J) Numbers Greater Than One 180 3.412 BTU / h Numbers Less Than One 0.00134 hp cal / min Prefix Abbreviation Prefix Abbreviation Area 1 W Power of 10 Prefix Power of 10 Prefis 14.34 4,047 m t Ib /s -1 deci- 1 deca - da 0.7376 1 acre 0.00156 mi -2 centi- hecto- h 1 mi 640 acre Pressure 3 milli- 3. kilo- k m 1.01325 bar r Mega Energy 1 BTU 33.9 t H0 -6 micro 6. M 1,055.06 J 1 atm 29.92 in Hg -9 nano Giga- I cal 4.184 J 760 mm Hg -12 pico- 12 Tera- т 0.239 cal 101,325 Pa 9.48 10 ITU 0.7376 1J -15 femto- 15 Peta- 14.7 psi t Ib -18 atto- 18 Exa- E 1 kW h 3,600,000 J Time -21 21 Zetta zepto- 1d 24 h Force -24 yocto- 24 Yotta- 1h 60 min 0.225 Ib 1 min I yr IN 60 1x 10 dyne Fundamental Dimensions and Base SI Units 365 I kip 1,000 Ib Temperature Change electric current A ampere N amount |mol) mole Length J light intensity Jed) candela T time Is] second 1m 3.28 ft IK 1.8 1 km 1 in 0.621 mi 1.8 "R L length (m] meter O temperature [K) kelvin 254 cm 12 Volume M mass in (kgl kilogram 5,280 ft 3.785 L 1 mi 1 pal 1.609 km 4 qt cm or ce Common Derived, Named Units in the SI System Base SI Units 1 yd 3 ft 1,000 SI Unit Derived From 0.264 gal Dimensions Dimension Mass 0.0353 ML F-ma (F) newton IN Force (mass (acceleration 1N - 1 I kg 1 Ib 1 shug 1 ton (metric 1 ton (US 2.205 Ib Force A oz cm or ce 33.8 16 oz I ml. 32.2 Ib 1 m 1,000 L. ML? Energy (E) joule E-Fd PI Energy (force) (distance) 1J-1N m -1 2,204.62 Ib 16 d oz pt I gt 2,000 Ib 2 pt ML? (P) watt (W 1w - 1!-1 Power Named Units Power - jenergyi / (time) farad 1 (A s) / V 1 (V s) / A pascal poise 1 Pa IN/ m 1g/ (cm s) 1 em /s Pressure (P) pascal (Pal Pressure force) / (area) P-F/A 1 Pa - 1-1 M henry 1P LT2 1H hertz I Ha 1 St stoke IN m 1 V V IWIA V-P/I Voltage - (power) / (current) ML? joule 1J 1Nm volt Voltage (V) volt 1V -1"-1 T'I 1 (kg m) / s 1v/A newton 1N watt 1 W 1J/s ohm 10 Thinking Like an Engineer 4e An Aetive Learning Agpproach Thinking Like an Engineer 4e An Aetive Learning Approach an. P Cte Geometric Formulas and Physical Constants Table Equations Table (in order of appearance in textbook Geometric Formulas Distance, Velocity and Acceleration Newton's Second Law (8.1 Weight 18.2 Rectangular Parallelepiped Volume - abe Surface Area 2 (ab+aeb e) Rectangle d- vt F - m a w = mg Areaab v -at Perimeter - 2 a+ 2b Density 8.3 Specific Gravity [8.3] Specific Weight [8.3] SG = Pobject Pwater w m V Cirele Sphere Y= Arear Volume -r Molecular Weight 8.4 Molarity Temperature: "F to "C 18.5) Circumference - 2*r Surface Area4sr T[*F] – 32 T["C] – 0 Diameter- 2r MW = V 180 100 Triangle Right Cireular Cone Temperature: "C to K [8.5 Temperature: "F to "R [8.5 Pressure 18.6) Area-bH Volume -rH T (K] = T["C] + 273 T ("R] - T ("F] + 460 F P = Torus Right Circular Cylinder 8.6 ideal Gas Law 18.7) Pascals Law ydrostatic Presure R6 Pressure: Total Volume -r H Volume - 2 R Phydre PgH Protal - Pydre + Purface PV-n RT Lateral Surface Area -2r H Energy: Work [8.8 Energy: Potential [8.8 Energy: Kinetie, translational 8.8 Physical Constants [Value and Units] W - F Ax PE - mg AH KE = m Av? 3x 10 speed of light in a vacuum Energy: Thermal [8.8 Power 8.9 Power 8.9) speed of sound in air (20 "C) 343.59 E Q-m Cp AT P = Pout + Post Euler number (base of natural logarithm) 2.71828.. e elementary charge of an electron 1.602 x 10 "C 9.65 x 10 Efficiency [8.10 Current, elated t charge [8.11) Ohm's Law of Resistance [8.11] F Faraday's constant Pout Pin Q-It V-IR golden ratio 1.61803.. Joule's First Law of Power [8.11 Capacitance, related to charge 8.11] Energy: Capacitor [8.11) acceleration due to gravity 9.8 on Earth; 1.6on Earth's Moon v2 P-VI-=PR R Q-CV E =; Cv? N G gravitational constant 6.67 x 10- k Boltzmann constant 1.38065 x 10 Inductance 8.11 Energy: Inductor [8.11] Hooke's Law for Spring [12.3] dl NA Avogadro number 6.022 x 10 V =La E =LF 2 F-k x ratio of circle circumference to diamcter 3.14159.. Newton's Law of Viscosity [12.3] Kinematic Viscosity [12.3 Elastic Materials Youngs Modulan (12 R ideal gas constant 0.08206 - 8314 PaL Δν 6 = EE melK mal K Ay 11분-1000분-624는 p density of water
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