What is the half life of a radioisotope if you started with 1 gram and 0.250 grams is left after 6 days?

3 days

Explanation:

We have to use the formula;

N/No = (1/2)^ t/t1/2

Where;

N= amount of radioactive material left after a time t = 0.250g

No= original amount of radioactive substance present= 1g

t= time taken to decay to N= 6 days

t1/2= half life of the sample

N/No = (1/2)^ t/t1/2

Substituting values;

0.25/1 =( 1/2)^6/t1/2

25/100 = ( 1/2)^6/t1/2

1/4 = (1/2)6/t1/2

(1/2)^2 = (1/2)6/t1/2

Canceling out bases and equating powers

2= 6/t1/2

t1/2= 6/2

t1/2= 3 days

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answer : one can design an experiment using a liquid and an additive that can be added to the liquid and observe the chemical changes in the reaction species.

one would need a beaker which is filled with a known amount of the liquid in which thermometer is placed to measure the temperature changes; after addition of the additive to the liquid solution one can note down the temperature change and find whether the reaction is endothermic or exothermic in nature. by subtracting the initial temperature value with the final temperature one can find the temperature changes.

various combinations of liquid and additive can be used. liquid in this case can be a known quantity of water and additives can be epsom salt or without epsom salt the experiment can be conducted to notice the changes. water and ice, hydrogen peroxide and dry yeast, vinegar and baking soda,etc.