# What are the calculations to find the number of moles needed to prepare 10mL of a 0.2M 2-butenedioic acid (C4H4O4)?

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Number of moles required to prepare 10mL of a 0.2M 2-butenedioic acid `(C_4H_4O_4) = ((1 mol)/(1L))/(1M)`` ``xx(1L)/(1000mL)xx10 mLxx0.2M`

` =0.002 mol =2.0xx10^(-3) mol`

Turn the 10ml in L since the equation for Molarity is M=mol/L and we need to find mols okay-

10mLx(1mL/1000L) = 0.01L Now plug into the equation

0.20 M C4H404 = x mol/ 0.01L Now multiply 0.01L on both sides

0.002 mole C4H404= x mol Since we have mols now we have to find the amount of grams need so calculate the molar mass of the entire compound.

x mol =grams/molar mass Plug in!

0.0002 mole C4H404= x grams/ 116g Multiply on both sides

x grams =0.232g and 0.232grams is the amount need to prepare C4H404

10ml = 0.01L (match the units)

M = mol / L (this is basically what M means)

= 0.2mol/L C4H4O4 = mol C4H4O4 / 0.1L C4H4O4 (plug in the known information into the equation)

= mol C4H4O4 = 0.2mol/L C4H4O4 * 0.1L C4H4O4 (multiply the mol on the left and M to the right)

= 0.002mol C4H4O4 (final answer)

= 2.0 * 10^-3

Hope this helped!

Molarity (M) is concentration of a solution in terms of moles of solute/ liters of solution.

0.2 M is the same as `(0.2 mol C _4H_4O_4)/(1 L of solution)`

The new solution will be ` (X mol C_4H_4O_4)/ (0.010 L)`

Note 1000 mL = 1L then `10 mL *( (1 L)/(1000 mL))= 0.010 L `

Applying ratio and proportion:

`((0.2 mol C_4H_4O_4)/(1 L)) = ((X mol C_4H_4O_4)/(0.010 L))`

Cross-multiply 0.010 L to isolate X mol` C_4H_4O_4` :

X mol `C_4H_4O_4` =`((0.2 mol C_4H_4O_4)/(1 L))* (0.010 L)`

` `

` `

X mol `C_4H_4O_4` = 0.002 mol `C_4H_4O_4`

or `2x10^(-3) mol C_4H_4O_4`

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In order to do this problem it will be helpful to remember that:

`M = (mol)/(L)` therefore is we are looking for moles it is: `Mol = MxxL`

We know the L = 10ml (.01L) and the M = .2 and we just set it up:

Moles = `(.2)xx(.01)`

Moles = .0002 Mol or `2 xx 10^-3 ` mol