The amount of potassium-39 present today, if an original sample of argon-39 weighed 29 kilograms 1060 years ago, would be approximately 1.81 kilograms.
The half-life of argon-39 is 265 years, which means that after 265 years, half of the original amount of argon-39 will have decayed into potassium-39. Since 1060 years have passed, we can calculate the number of half-lives that have occurred:
1060 years / 265 years = 4 half-lives
Calculate the remaining amount of argon-39:
Remaining amount = Original amount * (1/2)(number of half-lives)
Remaining amount = 29 kilograms * (1/2)4
Remaining amount = 29 kilograms * (1/16)
Remaining amount = 1.8125 kilograms
The remaining amount of argon-39 is equal to the amount of potassium-39 present today since they decay on a one-to-one basis:
Potassium-39 amount = Remaining amount of argon-39
Potassium-39 amount = 1.8125 kilograms
Rounded to two decimal places, the amount of potassium-39 present today would be approximately 1.81 kilograms.
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You prepare a stock solution that has a concentration of 2. 5 m. An aliquot with a volume of 10. 0 ml is removed from the solution. What is the concentration of the aliquot?.
The concentration of the aliquot is 2.5 M.
The concentration of a solution is defined as the amount of solute present per unit volume of the solution.
In this case, the stock solution has a concentration of 2.5 M (moles per liter).
An aliquot is a small portion or sample taken from a larger solution. In this scenario, an aliquot with a volume of 10.0 ml is removed from the stock solution.
Since the concentration of the stock solution is given in terms of moles per liter (M), the concentration of the aliquot will be the same as the concentration of the stock solution.
The concentration does not change when a specific volume is removed from the solution.
Therefore, the concentration of the aliquot is 2.5 M. It is important to note that the concentration remains the same regardless of the volume of the aliquot, as long as the proportion of solute to solvent remains constant.
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A graduated cylinder contains 26 cm3 of water. an object with a mass of 21 grams and a volume of 15 cm3 is lowered into the water. what will the new water level be
When the object with a volume of 15 cm3 is lowered into the water in the graduated cylinder, the new water level will be 11 cm3.
The new water level in the graduated cylinder can be determined by considering the principle of displacement. When the object is lowered into the water, it will displace an amount of water equal to its own volume.
Given that the object has a volume of 15 cm3, it will displace 15 cm3 of water. Since the initial volume of water in the graduated cylinder is 26 cm3, the new water level can be calculated by subtracting the volume of water displaced by the object from the initial volume of water.
Therefore, the new water level in the graduated cylinder will be 26 cm3 - 15 cm3 = 11 cm3.
To summarize, when the object with a volume of 15 cm3 is lowered into the water in the graduated cylinder, the new water level will be 11 cm3.
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a large volume of 0.1590 m h2so3(aq) is treated with enough naoh(s) to adjust the ph of the solution to 5.63 . assuming that the addition of naoh(s) does not significantly affect the volume of the solution, calculate the final molar concentrations of h2so3(aq) , hso−3(aq) , and so2−3(aq) in solution given that the Ka1 and Ka2 values are 1.50×10−2 and 1.20×10−7 , respectively.
To calculate the final molar concentrations of H2SO3(aq), HSO−3(aq), and SO2−3(aq) in solution, we need to consider the dissociation of H2SO3. H2SO3(aq) can dissociate into HSO−3(aq) and H+(aq), and further into SO2−3(aq) and H+(aq).
Given that the Ka1 and Ka2 values are 1.50×10−2 and 1.20×10−7, respectively. Calculate the initial concentration of H2SO3(aq) using its volume and molarity. Use the Ka1 value to calculate the concentration of HSO−3(aq) and H+(aq) at equilibrium.
Subtract the concentration of H+(aq) from the initial concentration of H2SO3(aq) to find the final concentration of H2SO3(aq). Calculate the final concentration of HSO−3(aq) and SO2−3(aq) by subtracting the concentration of H+(aq) from their respective equilibrium concentrations.
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a homogeneous solution contains copper(ii) ions (cu2 ), silver ions (ag ) and potassium ions (k ). you have sodium bromide (nabr) and sodium sulfide (na2s) available to use. what should you add and in what order to separate the three metal ions? ksp (sulfides) ksp (bromides) cus 6.0×10–37 cubr2 soluble ag2s 6.0×10–51 agbr 7.7×10–13 k2s soluble kbr soluble
To separate Cu2+, Ag+, and K+ from the homogeneous solution, add sodium sulfide (Na2S) first to precipitate CuS. Then add sodium bromide (NaBr) to precipitate AgBr. Finally, the remaining solution contains only K+.
To separate the copper (II), silver, and potassium ions from the homogeneous solution, you can employ the following procedure.
Firstly, add sodium sulfide (Na2S) to the solution, resulting in the formation of insoluble copper sulfide (CuS) precipitate due to its low solubility (Ksp = 6.0×10–37). By filtering the solution, the insoluble CuS precipitate can be separated.
Next, introduce sodium bromide (NaBr) to the filtrate, causing the formation of insoluble silver bromide (AgBr) precipitate due to its low solubility (Ksp = 7.7×10–13). By filtering the solution once again, the insoluble AgBr precipitate can be isolated.
Finally, the remaining solution will only contain potassium ions (K+), which do not require further separation steps as potassium salts are highly soluble in water. By following this procedure, effective separation of the copper (II), silver, and potassium ions can be achieved.
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at constant temperature, a 144.0 ml sample of gas in a piston chamber has a pressure of 2.25 atm. calculate the pressure of the gas if this piston is pushed down hard so that the gas now has a volume of 36.0 ml.
The pressure of the gas would be 9.0 atm if the piston is pushed down hard to a volume of 36.0 ml.
To solve this problem, we can use Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume at constant temperature.
First, we need to set up the equation: P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.
Given that the initial volume (V1) is 144.0 ml and the initial pressure (P1) is 2.25 atm, and the final volume (V2) is 36.0 ml, we can plug in the values into the equation:
2.25 atm * 144.0 ml = P2 * 36.0 ml
Next, we can solve for P2 by dividing both sides of the equation by 36.0 ml:
2.25 atm * 144.0 ml / 36.0 ml = P2
P2 = 9.0 atm
Therefore, the pressure of the gas would be 9.0 atm if the piston is pushed down hard to a volume of 36.0 ml.
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