Question

What volume of 0.230 M K2S solution is required to completely react with 175 mL of 0.130 M Co(NO3)2?

Answer 1

The answer would be 2.45 you know this

Answer 2

Taking into account the reaction stoichiometry, 98.91 mL of 0.230 M K₂S solution is required to completely react with 175 mL of 0.130 M Co(NO₃)₂.

Reaction stoichiometry

In first place, the balanced reaction is:

K₂S + Co(NO₃)₂ → 2 KNO₃ + CoS

By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:

• K₂S: 1 mole
• Co(NO₃)₂: 1 mole
• KNO₃: 2 moles
• CoS: 1 mole

Definition of molarity

Molar concentration or molarity is a measure of the concentration of a solute in a solution and indicates the number of moles of solute that are dissolved in a given volume.

The molarity of a solution is calculated by dividing the moles of solute by the volume of the solution:

$molarity=\frac{number of moles}{volume}$

Molarity is expressed in units $\frac{moles}{liter}$.

Volume of K₂S solution required

In this case, you know that react 175 mL( or 0.175 L, being 1000 mL=1 L) of 0.130 M Co(NO₃)₂. Then, replacing in the definition of molarity:

$0130 M=\frac{number of moles}{0.175 L}$

Solving:

number of moles= 0.130 M× 0.175 L

number of moles= 0.02275 moles

This means that in the reaction react 0.02275 moles of Co(NO₃)₂.

Then, the following rule of three can be applied: If by reaction stoichiometry 1 mole of Co(NO₃)₂ react with 1 mole of K₂S, 0.02275 moles of Co(NO₃)₂ react with how many moles of K₂S?

$moles of K_{2} S=\frac{0.02275 moles of Co(NO_{3} )_{2}x1 mole of K_{2} S }{1 moles of Co(NO_{3} )_{2}}$

moles of K₂S= 0.02275 moles

So, for the K₂S solution you know:

• molarity= 0.230 M
• number of moles= 0.02275 moles
• volume= ?

Replacing in the definition of molarity:

$0.230 M=\frac{0.02275 moles}{volume}$

Solving:

volume×0.230 M= 0.02275 moles

$volume=\frac{0.02275 moles}{0.230 M}$

volume= 0.09891 L= 98.91 mL

Finally, 98.91 mL of 0.230 M K₂S solution is required to completely react with 175 mL of 0.130 M Co(NO₃)₂.

Learn more about

the reaction stoichiometry:

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molarity:

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