Answer: The correct answer is Option C.
Explanation:
To calculate the amount of sample left for the given half lives, we use the equation:
[tex]a=\frac{a_o}{2^n}[/tex]
where,
a = amount of sample decayed = ?
[tex]a_o[/tex] = initial amount of the sample = 89.8 g
n = number of half lives = 3
Putting values in above equation, we get:
[tex]a=\frac{89.8g}{2^3}\\\\a=11.225g[/tex]
Amount of sample decayed after three half lives is 11.23 g
Hence, the correct answer is Option C.
