Respuesta :

Molarity is defined as the ratio of number of moles to the volume of solution in litres.

The mathematical expression is given as:

[tex]Molarity = \frac{Number of moles}{volume of solution in litres}[/tex]

Here, molarity is equal to 1.43 M and volume is equal to 785 mL.

Convert mL into L

As, 1 mL = 0.001 L

Thus, volume = [tex]785\times 0.001[/tex] = 0.785 L

Rearrange the formula of molarity in terms of number of moles:

[tex]Number of moles =molarity\times volume of solution in litres[/tex]

n = [tex]1.43 M \times 0.785 L [/tex]

= 1.12255 mole

Now,  Number of moles  = [tex]\frac{mass in g}{molar mass}[/tex]

Molar mass of potassium hydroxide  = 56.10 g/mol

1.12255 mole  = [tex]\frac{mass in g}{56.10 g/mol}[/tex]

mass in g = [tex]1.12255 mole\times 56.10 g/mol[/tex]

= 62.97 g

Hence, mass of [tex]KOH[/tex] = 62.97 g