After 15 minutes, 30 g of a sample of polonium-218 remain unchanged. if the original sample had a mass of 960 g, what is the half-life

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After 15 minutes, 30 g of a sample of polonium-218 remains unchanged. If the original sample had a mass of 960 g, what is the half-life of polonium-218? Additionally, suppose you want to separate leaves, acorns, and twigs from a pile of soil. Filtration and distillation are two processes used for separating mixtures. Please explain which process you would choose for this task and why.

Devonte Schimmel Sr. · Accepted Answer

Q1. The answer is 3 minutes.Let's first calculate the remaining amount in percent:If 960g is 100 percent (starting amount), 30 g is how many percents:960 g : 100% = 30 g : xx = 30 g * 100% / 960 g = 3.125% = 0.03125Now, using the formula to calculate the number of half-lives:(1/2)ⁿ = x,wherex is the remaining amount: x = 0.03125n is the number of half-lives1/2 stands for half-life.(1/2)ⁿ = 0.03125⇒ n*log(1/2) = log(0.03125)     n = log(0.03125)/log(1/2) = log(0.03125)/log(0.5) = -1.505/-0.301 ≈ 5The number of half-lives is 5.Now, the number of half-lives (n) is a quotient of total time elapsed (T) and length of half-life (L):n = T/LWe know:n = 5T = 15 minL = ?ThusL = T/nL = 15 min/5 = 3 minutesQ2. Filtration should be chosen.Filtration and distillation are used to separate mixtures - filtration for the separation of heterogeneous mixtures and distillation for the separation of homogeneous mixtures. Imagine that your pile of soil is a mixture. It consists of different components (the leaves, acorns, twigs), so it is the heterogeneous mixture. Therefore, to separate the leaves, acorns, twigs you will use filtration.

Anonymous · Answer

Filtration Explanation:Hi, to have in mind:The filtration is a physical process used to separate two or more components due to their different size of particule (or unit). The destilation is a chemical process used to separate two or more componets due to the difference between their boiling points (usually used with liquids).Being that said, by filtration you can separate the leaves, acorns and twigs from the soil.

Anonymous · Answer

Filtration is the process we can use here as distillation is done mostly in liquids and we can use distillation here to seperate the substances from the soil.

Anonymous · Answer

Mark him brainliest! XD(your welcome btw)

Anonymous · Answer

Filtration b/c you can use different size filters

Anonymous · Answer

Solutions for your questions are the following:1. remaining amount is equal to:960 g : 100% = 30 g : xx = 30 g * 100% / 960 g = 3.125% = 0.03125Now, we use this formula to calculate the number of half-lives:(1/2)ⁿ = x,so,(1/2)ⁿ = 0.03125to calculate n, use this equation:n*log(1/2) = log(0.03125) n = log(0.03125)/log(1/2) = log(0.03125)/log(0.5) = -1.505/-0.301  n=5Ifn = 5T = 15 minThenL = T/nL = 15 min/5 = 3 minutes2. You should pick filtration. It is use to separate heterogeneous mixtures just like in the problem stated.

Joesph Anderson IV

After 15 minutes, 30 g of a sample of polonium-218 remain unchanged. if the original sample had a mass of 960 g, what is the half-life

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