Question

Convert 1000microgram per liter to mol/ml

Convert 10000microgram per liter to mol/ml

Conver 100000microgram per liter to mol/ml

Answer 1

The data is insufficient .

moles can be calculate only if mass and molar mass of a compond are known.

so, here I am assuming given compound as N2 i.e., nitrogen.

==> molar mass of N2 = 28 g /mol i.e., 1 mole of N2 have 28 g of wieght.

( molar masses are fixed for every compound )

1 microgram / liter = 1 microgram / 1 liter

and 1 microgram = 10^-6 grams

i.e., 10^-6 grams / 1 microgram = 1 ( no units )

similarly,

1 mL = 10^-3 L ==> 10³ mL = 1L i.e., 1000 mL / 1 liter = 1 ( no units )

Now,

1000 micrograms = 1000 * ( 1 microgram ) = 1000* ( 1 microgram * (10^-6 grams/ 1 microgram ) )

= 1000 * ( 10^-6 grams) = 10^-3 grams

and similarily, for moles of N2 ( nitrogen), 1 mol of nitrogen = 28 grams ==> 1 gram = (1/28 ) moles of N2

Therefore, 1000 micrograms = 1g = (1/28 ) moles

similarly, 1 liter = 1liter * (1000mL / 1 liter ) = 1000mL

So,

1000 microgram / liter = 1000 * ( 1 microgram / 1 Liter ) = 1000* 1 microgram / 1000mL = 10^-3 grams / 1000mL

= 10^-3 * (1/28) moles / 1000 mL = 10^-3 * ( 3.57 * 10^-2 ) / 1000mL = 3.57 * 10^-8 mol /mL

Therefore, 1000microgram / L = 3.57 * 10^-8 mol /mL

Now, 10000 microgram / L = 10 * (1000 microgram / L ) = 10 * 3.57 * 10^-8 mol /mL = 3.57 * 10^-7 mol /mL

and 100000 microgram / L = 100* ( 1000microgram /L ) = 100 * 3.57 * 10^-8 mol /mL = 3.57 * 10^-6 mol /mL