microwave 1.0 cm Avogadro einstein einstein

microwave 1.0 cm Avogadro einstein einstein

Microwave radiation has a wavelength on the order of 1.0 cm. Calculate the frequency and the energy of a single photon of this radiation. Calculate the energy of an Avogadro’s number of photons (called an einstein) of this electromagnetic radiation.

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E = hν = h(c/λ) = hc/λ

( 참고 https://ywpop.tistory.com/4964 )

1 m = 100 cm 이므로,

1.0 m × (1 m / 100 cm) = 0.010 m

---> 파장(λ)

진동수, ν = c / λ

= (3.0×10^8 m/s) / 0.010 m

= 3.0×10^10 /s

= 3.0×10^10 Hz

E = hν

= (6.626×10^(-34) J•s) (3.0×10^10 /s)

= 1.9878×10^(-23) J

= 2.0×10^(-23) J

---> 광자 1개의 에너지

(1.9878×10^(-23) J/개) (6.022×10^23 개 / 1 mol)

= 11.97 J/mol

= 12 J/mol

---> 광자 1 mol의 에너지

[키워드] E = hv 기준