Of the following, which most likely involves a chemical reaction?

What is the binding energy of a nucleus that has a mass defect of 5.81*10-^29 kg

IrinaVladis [17]

Answer:

Choice A: Approximately $5.23 \times 10^{-29}$ joules.

Explanation:

Apply the famous mass-energy equivalence equation to find the energy that correspond to the $\rm 5.81\times 10^{-29}$ kilograms of mass.

$E = m \cdot c^{2}$ ,

where

$E$ stands for energy,
$m$ stands for mass, and
$c$ is the speed of light in vacuum.

The speed of light in vacuum is a constant. However, finding the right units for this value can simplify the calculations a lot. What should be the unit of $c$ ?

The mass given is in the appropriate SI unit:

Mass is in kilograms.

Thus, proceed with the speed of light in SI units. The SI unit for speed is meters per second. For the speed of light, $c \approx \rm 3.00\times 10^{8}\;m\cdot s^{-1}$ .

Apply the mass-energy equivalence:

$\begin{aligned} E &= m \cdot c^{2} \\ &= \rm 5.81\times 10^{-29}\; kg \times {\left(3.00\times 10^{8}\; m\cdot s^{-1}\right)}^{2}\\ &\approx \rm 5.23\times 10^{-12}\;kg\cdot m^{2}\cdot s^{-2} \end{aligned}$ .

The unit of energy is not in joules. Don't be alerted. Consider the definition of a joule of energy. One joule is the work done on an object when a force of one newton acts on the object in the direction of the force through the distance of one meter. (English Wikipedia.)

$\rm 1\; J = 1\; N \times 1\; m$ .

However, a force of one newton is defined as the force required to accelerated an object with a mass of one kilogram (not gram) at a rate of one meter per second squared. (English Wikipedia.)

$\begin{aligned}\rm 1\; J &= \rm 1\; N \times 1\; m\\ & = \rm \left(1\; kg\times 1\; m\cdot s^{-2}\right)\times 1\; m\\ &= \rm 1\; kg \cdot m^{2}\cdot s^{-2}\end{aligned}$ .

In other words, the mass defect here is also $\rm 5.23\times 10^{-12}\; J$ .

7 0

3 years ago

Read 2 more answers

The screenshts below

ICE Princess25 [194]

Answer:

yes so for example one

Explanation:

yeah so

7 0

1 year ago

An atom has no electrical charge because _____.

goblinko [34]

Hey there! Great question;) Answer:It is neutrally charged, because it has the same number of electrons(negatively charged ions) and protons(positively charged ions) I hope this helps;)

6 0

2 years ago

Which statement describes the motion of the sun?

balu736 [363]

different parts of the sum rotate at different rates

5 0

3 years ago

Read 2 more answers

What happens to the average kinetic energy of a gas when the particles of the gas collide against each other at a constant tempe

LuckyWell [14K]

Answer:

The average kinetic energy drastically increases.

Explanation:

The average kinetic energy drastically increases when the gas particles collide against each other at a constant temperature and volume because the collision will increase the heat content of gas at a particular temperature and gas particles begin to move faster as gain more kinetic energy.

Hence, the correct answer is "B".

5 0

2 years ago

Read 2 more answers