If a 50.00 kg sample of copper (0.385 J/(g·K)) initially at 5.0 oC is struck by 2.50 moles of 364 nm photons, and all of the energy of the..?

2016-11-02 3:25 am
If a 50.00 kg sample of copper (0.385 J/(g·K)) initially at 5.0 (deg)C is struck by 2.50 moles of 364 nm photons, and all of the energy of the photon goes into heating the metal, what will be the final temperature ((deg)C)?

回答 (1)

2016-11-02 3:46 am
Let T°C be the final temperature.

Energy released by the photons
= N h ν
= N h c / λ
= (6.022 × 10²³) × (6.626 × 10⁻³⁴) × (3.00 × 10⁸) / (364 × 10⁻⁹) J

Energy absorbed by the copper
= m c ΔT
= (50.00 × 10³) × 0.385 × (T - 5) J

Energy absorbed by the copper = Energy released by the photons
(50.00 × 10³) × 0.385 × (T - 5) = (6.022 × 10²³) × (6.626 × 10⁻³⁴) × (3.00 × 10⁸) / (364 × 10⁻⁹)
T = 22.1

Final temperature = 22.1°C


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