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how much time is required for a 5.75 mgmg sample of 51cr51cr to decay to 0.700 mgmg if it has a half-life of 27.8 days? express the time in days to one decimal place.

Respuesta :

The time is required for a 5.75 mg sample of 51cr to decay to 0.700 mg is 99.4 days

What is decay constant?

  • A property of unstable radionuclides that spontaneously decay at various rates to a more stable atomic configuration is the radioactive decay constant (λ);
  • The higher the decay constant, the faster the parent radionuclide depletes over time.

Decay constant k = ln(2) / half life

= ln(2) / 27.8

= 0.024933 day⁻¹

For first order decay:

ln(M / M₀)  = -kt

where M is mass remaining at time t and  M₀ is initial mass.

ln(0.700/5/75) = -0.024933 * t

Time, t = 99.4 days

Hence, time is required for a 5.75 mg sample of 51cr to decay to 0.700 mg is 99.4 days.

To know more about decay constant check the below link:

https://brainly.com/question/12699719

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