The time taken for the water to boil at the given rate of the alpha decay is 0.08 s.
Number of radium atom
The number of radium atom in 1.0 g is calculated as follows;
[tex]N = N_A(\frac{m}{M} )\\\\N = (6.02 \times 10^{23})(\frac{1}{223} )\\\\N = 2.7 \times 10^{21} \ atoms[/tex]
Decay constant of the radium[tex]\lambda = \frac{ln2}{t_{1/2}} \\\\\lambda = \frac{ln 2}{(11.43 \times 86400)} \\\\\lambda = 7.02 \times 10^{-7} \ s^{-1}[/tex]
Rate of the alpha decayR = λN
R = (7.02 x 10⁻⁷) x (2.7 x 10²¹)
R = 1.895 x 10¹⁵ atoms/s
Change in the mass of the RadiumΔm = m(Ra₂₂₃) - [m(Rn₂₁₉) + m(α)]
Δm = 223.018u - (219.008u + 4.0026u)
Δm = 0.0074u
Energy released in the alpha decay[tex]E =\Delta mc^2\\\\E = 0.0074u \times c^2\\\\E = 0.0074 \times931.5\ MeV/c^2 \times c^2\\\\E = 6.893 \ MeV\\\\E = 6.893 \times 10^6 \times 1.6\times 10^{-19} \\\\E= 1.103 \times 10^{-12} \ J[/tex]
Rate at which energy is releasedP = E/t = ER
P = (1.103 x 10⁻¹²)(1.895 x 10¹⁵)
P = 2,089.99 J/s
Mass of the boiled watermass = density x volume
mass = (1 g/L) x (0.46 L)
mass = 0.46 g
Heat absorbed by the waterQ = mcΔT
Q = 0.46 x 4.184 x (100 - 16)
Q = 161.67 J
Time taken for the water to boilPt = Q
t = Q/P
[tex]t = \frac{161.67}{2,089.99} \\\\t = 0.08 \ s[/tex]
Thus, the time taken for the water to boil at the given rate of the alpha decay is 0.08 s.
The complete question is below:
How long will it take the water to boil?
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What would be the weight of a 59.1-kg astronaut on a planet twice as massive as Earth and having twice Earth's radius
Answer:
29.55 kg
Explanation:
force gravity = G m1 m2 / (r^2) now change the mass 1 and the r
= G 2m1 m2 / ( 2r)^2
= 2/4 G m1 m2 / (r^2)
the weight will be 2/4 or 1/2 the original
The potential difference across a conducior is 6.0V. What is the energy dissipaled when a current of 5.0 A flows for 1 minute?
Answer:
1/2 watt hr
Explanation:
watts = V I = 6 * 5 = 30 watts for 1/60 hr
30 watts * 1/60 hr = 1/2 watt hr
If a typical house requires 235 W of electric power on average, how much deuterium fuel would have to be used in a year to supply these electrical needs
For a typical house requires 235 W of electric power on average, deuterium fuel used is mathematically given as
E=79206.75
How much deuterium fuel would have to be used in a year to supply these electrical needs?Generally, the mass and time statement of deuterium is mathematically given as
Mass deuterium=2.014g
time =3.15*107s= 1year
In conclusion, energy
E=235*3.15*107s
E=79206.75
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The half life of uranium-235 is 4. 5 billion years. If 0. 5 half-lives have elapsed, how many years have gone by?
a. 9 billion
b. 2. 25 billion
c. 4. 50 billion
d. 4. 0 billion
Answer:
2.25 billion years
Explanation:
i am smort
How is the rpm (revolutions per minute) of an actual four-stroke gasoline engine related to the number of thermodynamic cycles
Answer:
The gasoline engine would have:
intake stroke
compression stroke
power stroke
exhaust stroke
This is a total of 2 revolutions and 4 thermodynamic cycles
So the number of thermodynamic cycles is twice the rpm of the engine
The fact that large elliptical galaxies are much more common in the central regions of galaxy clusters than elsewhere in the universe suggests that __________.
The fact that large elliptical galaxies are more common in central galaxy clusters suggests that collisions play a role in the formation of these galaxies.
What is galaxy formation?Galaxy formation is a physical phenomenon where molecular clouds of dust concentrate and thus first generate stars.
Galaxy formation is a process that can be associated with collisions, at least for the formation of elliptical galaxies.
Collisions are a relatively frequent process in clusters (groups) of galaxies that are formed by crashes with other galaxies.
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in this image of a series circuit, which light bulb will the current reach first
a. bulb a
b. bulb b
c. bulb c
d. a, b, and c simultaneously
Seeds are often found on which part of a gymnosperm?
branch
leaf
cone
stem
The electronic circuitry in an ultrasonic receiver measures the transit time and calculates the distance from the receiver to the surface of material.
a. True
b. False
Answer: False
Explanation:
2.
What is the coefficient of friction between a block of wood that weighs 12.2
N and requires a force of 2 N to pull along at a constant velocity?
Want
Equation and solve
Given
Answer:
0.163934
Explanation:
Kinetic friction can be calculated by coefficient of kinetic friction * normal force. In this question the Mg is = to normal force (12.2 N). Therefore using sum of forces equations we get 2N = coefficient of kinetic friction * 12.2N. divide 2 by 12.2 to get the coefficient.
help me friends thank you
Explanation:
Sound travels faster In solids than liquid than gases
Speed of sound is highest in solids, and higher in liquids and slower in gases. Example- Sound travels in air with the speed of 330 m/s, In steel it travels with a speed of 5920 m/s, In liquids it travels with a speed of 5000 m/s.
Hope this helps you
what is the kinetic energy of a ball with a mass of 7 kg rolling at 10m/s
Answer:
350 j
Explanation:
K.E. = 1/2 m v^2
= 1/2 7 * 10 ^2 = 350 j
What is the force exerted on a charge of 2.5 µc moving perpendicular through a magnetic field of 3.0 × 102 t with a velocity of 5.0 × 103 m/s?
3.75 N of force will be applied to a charge. Because of the electric field, a force operated on the charge.
What is the definition of electricity?The electric force between two charges is proportional to their product and inversely proportional to the square of their distance.
In this question, the provided data is:
F is the applied force,
q denotes the charge, which is equal to 2.5 C.
v is the velocity = 5.0 10³ m/s
B is the magnetic field = 3.0 10² T
The following is the force on a moving charge:
[tex]\rm F = q V B sin \alpha \\\\ F = 2.5 \times 10^{-6} \times 3 \times 10^{-2} \times 5 \times 10^3 \\\\ F=3.75 \ N[/tex]
As a result, 3.75 N will be exerted on a charge.
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Answer:
3.8 N
Explanation:
got it right on edge
What is best to say about a runner who is running at a constant velocity? a. their acceleration is positive. b. their acceleration is negative. c. their acceleration is zero. d. their acceleration cannot be determined. please select the best answer from the choices provided. a b c d
Answer:
C
Explanation:
because acceleration is the rate of change of velocity.
Answer:
C
Explanation:
bcuz i said its c cuzzo
What is the current in a bulb if the resistance of its filament is 2 ohms and it is connected across a 6-volt battery
Answer:
3 amps
Explanation:
V = IR
6 = I * 2
I = 3 amps
The spring of a dart gun exerts a force on a 0.02 kg dart as it is launched from the gun with 4.00 J of KE. At what velocity does the dart come out of the gun?
Let's see
KE=1/2mv²m is mass and v is velocity
2KE=mv²4(2)=0.02v²8=2v²/1002v²=800v²=400v=20m/s2 ton car that starts from rest under the action of traction engine for 30 seconds gains speed 52 km / h. the coefficient of friction between the wheels of the car and the road is 0.02. find: the work done by the traction of the engine and the friction beam on the car at this time
Answer:
1 m/s=3.6km/her
56km/hr=?
=56km/hr×1m/s/3.6km/her
velocity is 15.5m/s
Explanation:
w=fs
a=v/t
a=15.5m/s/30s
a=465m/s^2
w=fs
w=0.02×
downhill water movement is responsible for
PLEASE HELP: Do you think there could be another period of time when so many brilliant discoveries are made in such a span of time? Why or Why not? Make sure to research other times to be able to defend your point.
Answer:
"Emerging technologies, such as industrial robots, artificial intelligence, and machine learning, are advancing at a rapid pace. These developments can improve the speed, quality, and cost of goods and services, but they also displace large numbers of workers."
Explanation:
This means in the furture we will have many technologies doing our day to day life things.
Continental air masses usually contain less moisture because they...
...originate over water.
...originate over ice.
...move from water onto land.
...originate over land.
brainliest for correct answer
Answer:
I believe its either the 3rd or 4th one
Explanation:
I'm not sure if these are correct sorry if this is a false or unhelpful anwser
Based on the information in the table, choose whether the magnetic field is weak or strong
Current Number of Coils Magnetic Field Strength 0. 2 A Many _______________
5. 0 A Many _______________
5. 0 A Few _______________
put weak or strong in the blanks
Answer:
Explanation:
Field characteristics
The strength of the field at the Earth's surface ranges from less than 30 microteslas (0.3 gauss) in an area including most of South America and South Africa to over 60 microteslas (0.6 gauss) around the magnetic poles in northern Canada and south of Australia, and in part of Siberia.
Earth has a definite orbit within the solar system. This orbit is mainly a result of the.
Earth has a definite orbit within the solar system whose the orbit is mainly a result of the mass of the Sun.
What is an orbit?An orbit is defined as the regular, repeating path that one object in space takes around another while an object in an orbit is called a satellite which may be natural, such as the Earth or the Moon. According to the height of satellites from the earth, these orbit are classified as
High Earth orbitMedium Earth orbitLow Earth orbit.Most of the weather and some communications satellites will tend to have a high Earth orbit which is farthest away from the surface. The main difference between orbit and orbitals is that the former is defined as a fixed path of electron revolutions, whereas the latter is defined as an uncertain region with a high probability of finding an electron.
Therefore, the Earth has a definite orbit within the solar system whose the orbit is mainly a result of the mass of the Sun.
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Can electromagnetic waves travel in a vacuum?
Yes
Or
No
Answer:
Yes
Explanation:
Yes because Electromagnetic waves differ from mechanical waves in that they do not require a medium to propagate. This means that electromagnetic waves can travel not only through air and solid materials, but also through the vacuum of space.
A light bulb has a resistance of 360 . What is the current in the bulb when it has a potential difference of 120 V across it?
0.33 A
3 A
480 A
43,200 A
Answer:
333 mAmps .33 A
Explanation:
v = ir
v/r = i
120 v / 360 ohm = .3333 A
Answer:
A). 0.33A
Explanation:
(100 points in return)
A baseball is flying through the
air at 40 m/s east. This
measurement represents the
ball's
A. speed
B. velocity
C inertia
D. force
Answer:
[tex] \huge\boxed {\sf Velocity}[/tex]
Explanation:
The unit of measurement is m/s hence it can not inertia or force because the unit of intertia and force are kg m² & kg⋅m/s² respectively, hence Option C and Option D can not be the right answer.
To understand the final answer one must know the difference between velocity and speed.
Velocity is a vector quantity which is direction specific. It's the displacement per unit time, the displacement is an vector quantity.
[tex] \sf \: Velocity = \frac{Displacement }{Time} [/tex]
Velocity can be positive negative or zero!
Speed is a scalar quantity which tells the distance covered in unit time. since it's a scalar it have magnitude only, not direction.
[tex] \sf \: Speed = \frac{Distance }{Time} [/tex]
Speed is always either zero or positive.
In the question it tells the baseball is flying through the air at 40 m/s east,
if it was only 40m/s with no direction then it would be speed. but the east is indicating the direction and velocity includes the direction hence the given measurement represents Velocity.
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How fast does an X-ray travel through space?
Answer:
As with other forms of electromagnetic radiation, X-rays can be described as coupled waves of electric and magnetic fields traveling at the speed of light (about 300,000 km, or 186,000 miles, per second).
Explanation:
hope it's help
Voltage ___ commonly occur when large loads, such as motors, are turned off and voltage on the power line increases above the normal voltage fluctuation (+10%) for a short period of time.
Answer:
Voltage SPIKES
Explanation:
What does sound travel through?
Answer:
Solids liquids and gases
Explanation:
sound will not travel in a vacuum
As a general rule, what will create greater drag on an object?
Answer:
the faster you move the greater, the drag force acting against the object.
Explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
According to Newton's Law of Gravity, if two objects were to move twice as far apart, the force of gravity between them would be...
The force of gravity between them given the data from the question, would decrease by a factor of 4
Newton's law of gravityF = GM₁M₂ / r²
Where
F is the force G is the gravitational constant M₁ and M₂ are the masses of the objectsr is the distance apart Data obtained from the question Initial distance apart (r₁) = rInitial force (F₁) = FFinal distance apart (r₂) = 2rFinal force (F₂) =? How to determine the final forceF = GM₁M₂ / r²
Cross multiply
Fr² = GM₁M₂
GM₁M₂ = constant
F₁r₁² = F₂r₂²
With the above formula, we can obtain the final force as follow:
F₁r₁² = F₂r₂²
F × r² = F₂ × (2r)²
Fr² = F₂ × 4r²
Divide both side by 4r²
F₂ = Fr² / 4r²
F₂ = F / 4
Thus, we can conclude that the final force will decrease by a factor of 4
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