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sodium - 24 has a hourly decay rate of 5%
how many grams of a 900 g sample will remain after 90 hours ?
Round the answer to two decimal places

• 7.03 g
•7.50 g
•8.90 g
•28.13 g

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Respuesta :

Answer:

The amount of sodium- 24 remain after 90 hours of decay is 8.90 gram

Step-by-step explanation:

Given as :

The amount of sodium-24 = 900 gram

The decay rate of sodium is 5 %

The time period for its decay  = 90 hours

[tex]Final value of sodium -24 = initial value \times  (1 - \frac{Rate}{100})^{Time}[/tex]

Or, [tex]Final value of sodium -24 = 900 gram \times  (1 - \frac{5}{100})^{90}[/tex]

Or, Final value of sodium -24 = 900 g × [tex](0.95)^{90}[/tex]

Or,  Final value of sodium -24 = 900 g × [tex](9.88)^{-3}[/tex]

∴ Final value of sodium -24 = 8.899 gram

Hence The amount of sodium- 24 remain after 90 hours of decay is 8.90 gram    Answer