A solution of 10.m koh was used to prepare 2.00L of 0.500 M KoH how many millilitres of the original KOH solution are needed

I don't think so. I assume that 10 m is really 10 M. M stands for molarity; m stands for molality.

mLKOH x 10 M = 2000 mL x 0.500 M
mL KOH = 2000 x 0.500/10 = ?

150.ml

To find out how many milliliters of the original KOH solution are needed to prepare 2.00 L of 0.500 M KOH, we can use the formula:

M1 x V1 = M2 x V2

Where:
M1 = initial molarity of the KOH solution
V1 = volume (in liters) of the initial KOH solution
M2 = desired molarity of the final KOH solution
V2 = volume (in liters) of the final KOH solution

Let's plug in the values:

M1 = 10.0 M (given)
V1 = unknown (we need to find this)
M2 = 0.500 M (given)
V2 = 2.00 L (given)

Using the formula, we can rearrange it to solve for V1:

V1 = (M2 x V2) / M1

V1 = (0.500 M x 2.00 L) / 10.0 M

V1 = 0.100 L

To convert liters into milliliters, multiply by 1000:

V1 = 0.100 L x 1000 mL/L

V1 = 100 mL

Therefore, 100 milliliters of the original KOH solution are needed to prepare 2.00 L of 0.500 M KOH.

To find the number of millilitres of the original KOH solution needed, we need to use the equation for dilution:

M1V1 = M2V2

Where:
M1 = initial concentration of the solution
V1 = initial volume of the solution
M2 = final concentration of the solution
V2 = final volume of the solution

Given:
M1 = 10.0 M (concentration of the original KOH solution)
V1 = ? (unknown volume of the original KOH solution)
M2 = 0.500 M (final concentration of the solution)
V2 = 2.00 L (final volume of the solution)

Rearranging the equation and solving for V1, we get:

V1 = (M2 * V2) / M1

Substituting the given values into the equation:

V1 = (0.500 M * 2.00 L) / 10.0 M

V1 = 0.100 L

Since the volume is asked in millilitres, we need to convert liters to millilitres:

1 L = 1000 mL

Therefore, the answer is:

V1 = 0.100 L * 1000 mL/L

V1 = 100 mL

So, 100 millilitres of the original KOH solution are needed to prepare 2.00 liters of 0.500 M KOH.