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Why addition and subtraction are important in our daily lves?

Anonymous

∙ 10y ago

Updated: 9/21/2023

why addition & substraction important in our daily life

Wiki User

∙ 10y ago

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Continue Learning about Math & Arithmetic

What is the halflife of sodium 25 if 1.00 gram of a 16.00 gram sample of sodium 25 remains unchanged after 237 seconds?

59.25 secondsAfter 1 half-life: 16*(1/2) = 8 g remainsAfter 2 half-lives: 8*(1/2) = 4g remainsAfter 3 half-lvies: 4*(1/2) = 2g remainsAfter 4 half-lives: 2*(1/2) = 1g remainsSo after 4 half-lves you have 1 gram of Na25 left. This is also the amount remaining after 237 seconds. Since 4 half-lives have elapsed over 237 seconds, you can divide 237 seconds by 4 to find the half-life of Na25 is 59.25 seconds.You can also figure it out using the rate of decay formula:At = Ao*e-ktwhere Ao is the initial amount, At is the amount left after some time t. k is the decay constant which is k = ln 2 / t1/2 where t1/2 is the half-life.In this case Ao = 16g, At = 1g, t=237 secSubstitute in the formula to solve for k, then take the answer for k and use it in the other formula to solve for the half-life (t1/2):1 = 16*e-237kln (1/16) = ln (e-237k)-2.7726 = -237kk = -2.7726/-237 = 0.011699 sec-1t1/2 = ln 2/k = 0.693147/0.011699 sec-1t1/2 = 59.25 sec

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