Question

Scientists found that a certain particle of dust doubles every 30 minutes. If the scientists tests this out with 21 grams of the specific dust, how many grams would they have after 2 days?

Answer 1

Answer:
`1.663* 10^(30)\ gm`

Explanation:

Given

Population of dust particle doubles every 30 minutes

If the initial sample is 21 grams

The model to predict the population will be

`\Rightarrow P=21\cdot 2^(2t)`

Where t=time in hours

A day has 24 hours . So, for 2 days time is 48 hours

Population is given by

`\Rightarrow P=21\cdot 2^(2* 48)\\\\\Rightarrow P=21* 2^(96)\\\\\Rightarrow P=1.663* 10^(30)\ gm`