1.0 × 1022 particles of SnCl2 is dissolved in water to produce a solution with a concentration of 2.7 M. What is the volume of this solution in liters?
Question
1.0 × 10²² particles of SnCl₂ is dissolved in water to produce a solution with a concentration of 2.7 M. What is the volume of this solution in liters?
Solution
To solve this problem, we need to use the formula for molarity which is M = moles/L.
Step 1: Convert the number of particles to moles using Avogadro's number.
1.0 × 10^22 particles of SnCl2 * (1 mole/6.022 x 10^23 particles) = 1.66 x 10^-2 moles of SnCl2
Step 2: Substitute the moles and molarity into the formula to find the volume.
2.7 M = 1.66 x 10^-2 moles / L
Rearranging the formula to solve for L gives us:
L = 1.66 x 10^-2 moles / 2.7 M = 6.15 x 10^-3 L
So, the volume of the solution is 6.15 x 10^-3 liters.
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