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