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? asked in Science & MathematicsChemistry · 4 years ago

Chem help!?

1.What is the change in energy, ΔE, in kilojoules per mole of hydrogen atoms for an electron transition from n=4 to n=2?

Update:

1.What is the change in energy, ΔE, in kilojoules per mole of hydrogen atoms for an electron transition from n=4 to n=2?

2. The mass of a golf ball is 45.9 g . If it leaves the tee with a speed of 61.0 m/s , what is its corresponding wavelength?

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  • 4 years ago
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    1) Rydberg equation for hydrogen electron transitions:

    ΔE = - RH * [(1/n²f) - (1/n²i)]

    RH = Rydberg constant = 2.180 x 10^-18 J

    ni = initial energy level

    nf = final energy level

    In this case, ni = 4, nf = 2, so

    ΔE = (-2.180 x 10^-18 J) x [(1/2²) - (1/4²)]

    = - 4.088 x 10^-19 J

    That's the ΔE for one photon. The negative sign indicates that radiation was emitted. The question asks for the ΔE in kJ of a mole of photons, so multiply by Avogadro's number and convert J to kJ.

    (-4.088 x 10^-19 J / 1 photon) x (6.022 x 10^23 photons / 1 mole) x

    (1 kJ / 1000 J)

    = -246 kJ/mol . . . . . . to 3 significant figures

    --------------

    The mass of a golf ball is 45.9 g . If it leaves the tee with a speed of 61.0 m/s , what is its corresponding wavelength?

    deBroglie wavelength equation:

    λ = (h / mv)

    λ = wavelength

    m = mass (kg)

    h = Planck’s constant = 6.626 x 10^-34 J•s = 6.626 x 10^-34 kg•m²/s

    mass = 45.9 g = 0.0459 kg

    λ = (6.626 x 10^-34 kg•m²/s) / [(0.0459 kg) x (61.0 m/s)]

    = 2.37 x 10^-34 m

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