Energy change associated per mole of atoms with an atomic transition giving rise to radiations of What is the value of x?Correct answer is '4'. Can you explain this answer?

Question

Answer

Energy = n.hv
where,
n = 1 mole or 6.023 × 10²³ atoms
h = 6.626×10^-34 J.sec
v (frequancy) = 1 Hz

⇒ E = 6.023 ×10²³ × 6.626×10^-34 × 1 = 3.91 × 10^-10
so approximately value of x = 4.

Answer

Energy = n.hv where n = 1 mole or 6.023 × 10^23 so E = 6.023 ×10^23 × 6.626×10^-34 × 1 = 3.91 × 10^-10 so approximately value of x = 4

Answer

E=nhv=6×10*-34×6×10*23×10*-10=36×10*-21~4×10*-20

Answer

444

Answer

Energy change associated per mole of atoms with an atomic transition giving rise to radiations of 1 Hz is given as x * 10^-10 J/mol. We need to find the value of x.

Given:
Energy change per mole of atoms = x * 10^-10 J/mol
Frequency of radiation = 1 Hz

To find the value of x, we can use the equation:

E = h * f

Where:
E is the energy change per atom
h is the Planck's constant (6.62607015 × 10^-34 J·s)
f is the frequency of radiation

Since the given energy change is per mole of atoms, we need to divide the equation by Avogadro's number (6.022 × 10^23 atoms/mol) to find the energy change per atom:

E/NA = (h * f) / NA

Where:
E/NA is the energy change per atom
NA is Avogadro's number

Now, substituting the given frequency of radiation (1 Hz) and Avogadro's number in the equation:

E/NA = (6.62607015 × 10^-34 J·s * 1 Hz) / (6.022 × 10^23 atoms/mol)

Simplifying the equation:

E/NA = 1.097 × 10^-57 J/atom

Since the given energy change per mole of atoms is x * 10^-10 J/mol, we can equate the two equations:

x * 10^-10 J/mol = 1.097 × 10^-57 J/atom

To solve for x, we need to convert the energy per atom to energy per mole of atoms by multiplying by Avogadro's number:

x * 10^-10 J/mol = 1.097 × 10^-57 J/atom * NA

x * 10^-10 J/mol = 1.097 × 10^-57 J/atom * (6.022 × 10^23 atoms/mol)

Simplifying the equation:

x * 10^-10 J/mol = 6.605 × 10^-34 J/mol

Now, dividing both sides of the equation by 10^-10:

x = 6.605 × 10^-24

Therefore, the value of x is 6.605 × 10^-24, which is not between 3.5 and 4.5. It seems there might be an error in the given answer range.

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