Energy and mass equivalence
Explanation:
The law of conservation of energy does not apply to nuclear reactions, the law of conservation of mass-energy makes more sense in this regard.
In nuclear reactions mass is transformed into energy. Therefore, it does not conform with the law of conservation of energy.
- According to the law of conservation of energy "energy is neither created no destroyed but they are transformed from one form to another. "
- In nuclear reactions, mass is usually lost. Mass is not conserved.
- But, the mass is converted into energy and we say there is mass and energy equivalence for nuclear reactions.
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The mass of the empty flask is 17.4916 g. Now after feeling the ordinary water the mass of the flask is 43.9616 g. Thus the change of weight due to addition of ordinary water is (43.9616 - 17.4916) = 26.47 g.
Now as the density of the ordinary water at 20°C is 0.9982 g/ml, so 26.47 g is equivalent to 
mL of water. Thus the capacity of the flask is 26.5177 mL.
Now the density of heavy water is 1.1053 g/mL at 20°C. Thus 26.5177 mL of heavy water is equivalent to (1.1053×26.5177) = 29.310 g.
Thus the total weight of the flask filled with heavy water will be (17.4916 + 29.310) = 46.8016 g at 20°C.
The mass of 2.1 moles of the hydrate Nickel (II) carbonate pentahydrate NiCO3 x 5H2O 773.5 grams.
<h3>What are moles?</h3>
Mole is the smallest particle of atom which is equal to the Avogadro's number which is 2.303 × 10²³moles of an atom and can be calculated by,
number of moles = mass of mole / molar mass of the mole.
mass = 2.1 moles
molar mass of NiCO3 x 5H2O = 368.38
Substituting the value in the formula,
2.1 mole = mass of mole / 368.38
mass of mole = 773.59 grams.
Therefore, mass of 2.1 moles of the hydrate Nickel (II) carbonate pentahydrate NiCO3 x 5H2O 773.5 grams.
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Wavelength of the light is 2.9 × 10⁻⁷ m.
<u>Explanation:</u>
Planck - Einstein equation shows the relationship between the energy of a photon and its frequency, and they are directly proportional to each other and it is given by the equation as E = hν,
where E is the energy of the photon
h is the Planck's constant = 6.626 × 10⁻³⁴ J s
ν is the frequency
From the above equation, we can find the frequency by rearranging the equation as,
ν = 
= 
Now the frequency and the wavelength are in inverse relationship with each other.
ν × λ = c
It can be rearranged to get λ as,
λ = c / ν
= 
So wavelength is 2.9 × 10⁻⁷ m.
