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Chapter 13: Problem 47

What mass of \(\mathrm{HCl}\) is contained in 645 \(\mathrm{mL}\) of 0.266 \(\mathrm{M}\) solution?

Short Answer

Expert verified
The mass of HCl in the solution is 6.26 g.

Step by step solution

01

Conversion of volume

First, convert the volume from milliliters to liters. As 1 liter equals 1000 milliliters, the volume in liters is 645 m/ml divided by 1000 mL/L, which equals 0.645 L.
02

Calculating the moles of HCl

Next, find the moles of HCl using the formula for molarity (M = moles volume). The given molarity is 0.266 M. And the volume in liters is 0.645 L. When we multiply these, we get the number of moles, which is 0.266 M * 0.645 L = 0.17169 moles.
03

Finding the Mass of HCl

Finally, we find the mass of HCl using the definition of a mole. Since 1 mole of HCl weighs about 36.46g, we multiply the number of moles by the molar mass to get the mass of HCL. This gives: 0.17169 moles * 36.46 g/mole = 6.26 g.

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