Question

Sodium - 24 has a hourly decay rate of 5%

Answer 1

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

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

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

Or, Final value of sodium -24 = 900 g × $(0.95)^{90}$

Or,  Final value of sodium -24 = 900 g × $(9.88)^{-3}$

∴ 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