if the molar mass if an acid is 40.0g/mol and it's concentration in grammes per dm cubic (g/dm^3) is 200.0. find its concentration in mol/dm^3

a). 5.00mol/dm^3
b). 0.50mol/dm^3
c). 0.005mol/dm^3
d). 50.0mol/dm^3
e). 500mol/dm^3?

200 g/dm^3 x (1 mol/40 g) = ? mol/dm^3

Well, well, well! It seems like we have a chemistry question here. Don't worry, I promise not to cause any chemical reactions. Let's tackle this problem together.

To find the concentration in mol/dm^3, we need to use the formula:

Concentration (in mol/dm^3) = Concentration (in g/dm^3) / Molar Mass (in g/mol)

Plugging in the values, we get:

Concentration (in mol/dm^3) = 200.0 g/dm^3 / 40.0 g/mol

Calculating that, we find: Concentration (in mol/dm^3) = 5.00 mol/dm^3

So the correct answer is a). 5.00 mol/dm^3. Ta-da!

Now, let's keep the chemicals contained and avoid any explosive comedy acts.

To find the concentration of the acid in mol/dm^3, we need to convert the concentration from g/dm^3 to mol/dm^3 using the molar mass.

First, we need to calculate the number of moles in 200.0g of the acid. We can use the formula:

Number of moles = Mass / Molar mass

Number of moles = 200.0g / 40.0g/mol = 5.00 mol

Therefore, the concentration of the acid in mol/dm^3 is 5.00 mol/dm^3.

The correct answer is:

a). 5.00 mol/dm^3

To find the concentration of the acid in moles per cubic decimeter (mol/dm^3), you need to divide the concentration in grams per cubic decimeter (g/dm^3) by the molar mass of the acid.

Given:
Molar mass of the acid = 40.0g/mol
Concentration in g/dm^3 = 200.0g/dm^3

To find the concentration in mol/dm^3, divide the concentration in g/dm^3 by the molar mass of the acid:

Concentration in mol/dm^3 = (Concentration in g/dm^3) / (Molar mass of the acid)

Concentration in mol/dm^3 = 200.0g/dm^3 / 40.0g/mol

Simplifying the expression:

Concentration in mol/dm^3 = 5.00mol/dm^3

Therefore, the correct option is a). 5.00mol/dm^3.