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galina1969 [7]
3 years ago
7

A photon detector captures a photon with an energy of 5.45 ✕ 10^−19 J. What is the wavelength, in nanometers, of the photon?

Chemistry
1 answer:
GarryVolchara [31]3 years ago
5 0

Answer:

364 nm

Explanation:

The formula for the energy (E) of a photon in terms of its wavelength λ is

E = hc/λ

We can rearrange this formula to give

λ = hc/E

If E = 5.45 × 10⁻¹⁹ J, then  

\begin{array}{rcl}\lambda& = & \dfrac{6.626 \times 10^{-34} \text{ J$\cdot$s} \times 2.998 \times 10^{8}\text{ m$\cdot$ s}^{-1}} {5.45 \times 10^{19} \text{ J}}\\\\& = & 3.64 \times 10^{-7} \text{ m}\\& = & \textbf{364 nm}\\\end{array}\\

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BARSIC [14]

The number of C atoms in 0.524 moles of C is 3.15 atoms.

The number of SO_2 molecules in 9.87 moles  SO_2 is 59.43 molecules.

The moles of Fe in 1.40 x 10^{22} atoms of Fe is 0.23 x 10^{-1}

The moles of C_2H_6O in 2.30x10^{24} molecules of C_2H_6O is 3.81.

<h3>What are moles?</h3>

A mole is defined as 6.02214076 × 10^{23} of some chemical unit, be it atoms, molecules, ions, or others. The mole is a convenient unit to use because of the great number of atoms, molecules, or others in any substance.

A. The number of C atoms in 0.524 mole of C:

6.02214076 × 10^{23} x 0.524 mole

3.155601758 atoms =3.155 atoms

B. The number of SO_2 molecules in 9.87 moles of SO_2:

6.02214076 × 10^{23} x 9.87

59.4385293 molecules= 59.43 molecules

C. The moles of Fe in 1.40 x 10^{22} atoms of Fe:

1.40 x 10^{22} ÷ 6.02214076 × 10^{23}

0.2324754694 x 10^{-1} moles.

0.23 x 10^{-1} moles.

D. The moles of C_2H_6O in 2.30x10^{24} molecules of C_2H_6O:

2.30x10^{24} ÷ 6.02214076 × 10^{23}

3.819239854 moles=3.81 moles

Learn more about moles here:

brainly.com/question/8455949

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