Uranium-232 has a half life of 68.8 years. after 344.0 years, how much uranium-233 will remain from a 100.0-g sample?

I think in the question you should have to find how much Uranium-232 will be left as half life of Uranium- 233 is about 1,60,000 years and will not decay much and the necessary data for that is also not provided in the question!

Uranium-232 has a half life of 68.8 years.

So, it becomes half of its current amount in 68.8years

In another 68.8 years it will become it will become 1/2 of the remaining amount .

So, in 68.8*5 or 344 years it becomes 1/2*1/2*1/2*1/2*1/2 of the present amount.

i.e. (1/2)^5 of the current amount

i.e. 1/32 of current amount.

Our sample here has 100 gm of Uranium-232,

So, it will become 100*1/32 in 344 years.

or it will become 3.125 gm

Ans) 3.125 gm

Hope it helps!!!

the density of gold = 19.3 g/cm3

the relation between density and mass and volume is

density = mass / volume

given :

mass of gold = 13 g

density = 13g / volume = 19.3

volume = 13 /19.3 = 0.67 cm^3

thus volume of gold nugget = 0.67 cm^3