Consider the reaction: #K_2S_((aq))+Co(NO_3)_(2(aq)) -> 2KNO_(3(aq))+CoS_((s)) darr#. What volume of 0.220M #K_2S# solution is required to completely react with 160mL of 0.145M #Co(NO_3)_2#?

Answer 1

That much cobalt nitrate requires 105 mL of 0.220-M potassium sulfide solution to fully react.

For this double replacement reaction, start with the balanced chemical equation.

#K_2S_((aq)) + Co(NO_3)_(2(aq)) -> 2KNO_text(3(aq]) + CoS_((s)) darr#
Notice that you have a #1:1# mole ratio between potassium sulfide and cobalt nitrate. This tells you that you need equal numbers of moles of each reactant in order for the reaction to take place.

Calculate the moles of cobalt nitrate in the solution by utilizing its volume and molarity.

#C = n/V => n = C * V#
#n_(Co(NO_3)_2) = "0.145 M" * 160 * 10^(-3)"L" = "0.0232 moles"# #Co(NO_3)_2#

For the cobalt nitrate to react fully, 0.0232 moles of potassium sulfide must be present. Once more, use the molarity of the solution to calculate the volume you'd need.

#C = n/V => V = n/C#
#V_(K_2S) = (0.0232 cancel("moles"))/(0.220cancel("moles")/"L") = "0.10545 L"#

The number of sig figs you provided for the volume of the cobalt nitrate solution, expressed in milliliters and rounded to two sig figs, will be the answer.

#V_(K_2S) = color(green)("110 mL")#
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Answer 2

To solve this problem, you can use the stoichiometry of the reaction to determine the amount of K2S needed to react with the given amount of Co(NO3)2. First, calculate the moles of Co(NO3)2 using its molarity and volume. Then, use the mole ratio between Co(NO3)2 and K2S from the balanced equation to find the moles of K2S required. Finally, use the molarity and the moles of K2S to find the volume needed.

Moles of Co(NO3)2 = Molarity × Volume = 0.145 M × 0.160 L = 0.0232 moles

From the balanced equation, the mole ratio between Co(NO3)2 and K2S is 1:1. Therefore, moles of K2S required = 0.0232 moles.

Now, use the molarity of K2S to find the volume:

Volume = Moles / Molarity = 0.0232 moles / 0.220 M ≈ 0.1056 L

Convert the volume to milliliters:

Volume ≈ 0.1056 L × 1000 mL/L ≈ 105.6 mL

So, approximately 105.6 mL of 0.220 M K2S solution is required to completely react with 160 mL of 0.145 M Co(NO3)2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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