duncan3579
duncan3579 duncan3579
  • 11-01-2021
  • Chemistry
contestada

A 62 gram sample of Fe-53 decays for 34.04 minutes. What mass of iron remains?

Respuesta :

ardni313
ardni313 ardni313
  • 12-01-2021

Mass of iron remains : 3.875 g

Further explanation

Given

62 gram sample of Fe-53 decays for 34.04 minutes.

Required

mass of iron remains

Solution

Hal life of Fe-53 = 8.51 min

[tex]\large{\boxed{\bold{N_t=N_0(\dfrac{1}{2})^{t/t\frac{1}{2} }}}[/tex]

No=62 g

t = 34.04 min

t1/2 = 8.51 min

Input the value :

[tex]\tt Nt=62.\dfrac{1}{2}^{34.04/8.51}\\\\Nt=62.\dfrac{1}{2}^4\\\\Nt=3.875~g[/tex]

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