SOLUTION: hi can someone please help? thanks A 300 g sample of thorium-234 has a half-life of 24 days. The mass of thorium, in grams, that remains after t days can be modelled by m(t)=300(

Question 1090675: hi can someone please help? thanks
A 300 g sample of thorium-234 has a half-life of 24 days. The mass of thorium, in grams, that remains after t days can be modelled by m(t)=300(1/2)^t/24 . What mass will remain after 31 days?
a. 122.5 g
b. 150 g
c. 177.5 g
d. 193.75 g

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Plug in t = 31 and use a calculator to evaluate.

m(t)=300(1/2)^(t/24)
m(31)=300(1/2)^(31/24)
m(31)=122.543658993082
m(31)=122.5

You'll have 122.5 grams of thorium left over after 31 days.

RELATED QUESTIONS
A 300g sample of thorium-234 has a half-life of 24 days. The mass of thorium, in grams,... (answered by ankor@dixie-net.com)

Can some please help me? The half life of Thorium-232 is 14 billion years. Make a table... (answered by scott8148)

The mass m(t) remaining after t days from a 25-g sample of thorium-234 is given by... (answered by stanbon)

PLEASE HELP!! The radioactive isotope thorium 234 has a half-life of approximately 578... (answered by stanbon,Theo)

The half-life for thorium-227 is 18.72 days. The amount A (in grams) of thorium-227 after (answered by greenestamps)

An isotope of thorium, 227Th, has a half-life of 18.4 days. How long will it take for 85% (answered by jsmallt9)

the level of thorium in a sample decreases by a factor of one-half every 2 million years. (answered by ankor@dixie-net.com)

A sample of phosphorus-32 has a half-life of 14.28 days. If 55 g of this radioisotope... (answered by ankor@dixie-net.com)

Hello, How would I solve the following: The level of thorium in a sample decreases... (answered by stanbon)