Answer to Question #87260 in General Chemistry for Smith Ekemini

Question

Calculate the wavelength in metres associated with an 80g mass moving at 3km/hr

Answer 1

The de Broglie wavelength is the wavelength, λ, associated with a massive particle and is related to its momentum, p, through the Planck constant, h (6.62607015×10⁻³⁴ J⋅s or kg⋅m²/s):

{\displaystyle \lambda ={\frac {h}{p}}={\frac {h}{mv}}.}λ,= h/mv

 

80 g = 0,08 kg

3 km/h = 3000 m/h = 0,8333 m/s

 

λ,= 6.626×10⁻³⁴ /(0,08 kg*0,8333 m/s) =9,943×10⁻³³ m