Question

. A solution of barium nitrate is at a concentration of 61.2 g/L. How many mg of barium are there in exactly 2 quarts?

Answer 1

Answer:- 60860 mg of Ba.

Solution:- Concentration of barium nitrate solution is given as 61.2 grams per liter. It asks to calculate the mg of Barium in 2 quarts of the solution.

quart is the unit of volume. Since the concentration is given in grams per liter. Let's convert quarts to liters. The important conversion factors are:

1 gallon = 4 quarts

1 gallon = 3.785 liters

So, from these two conversion factors, 4 quarts = 3.785 liters

`2quarts((3.785L)/(4quarts))`

= 1.8925 L

Let's calculate grams of barium nitrate present in these 1.8925 liters as:

`1.8925L((61.2gBa(NO_3)_2)/(1L))`

=
`115.821gBa(NO_3)_2`

Molar mass of barium nitrate = 137.33 + 2(14) + 6(16)

= 137.33 + 28 + 96

= 261.33 gram per mol

There is one Ba present in barium nitrate, So, we could say that 261.33 g of barium nitrate has 137.33 g of Ba. How many grams of Ba would be present in 115.821 g of barium nitrate. let's make the set up as:

`115.821gBa(NO_3)_2((137.33gBa)/(261.33gBa(NO_3)_2))`

= 60.86 g Ba

It want's answer in mg. So, let's convert g to mg.

1 g = 1000 mg

So,
`60.86g((1000mg)/(1g))`

= 60860 mg of Ba

So, 60860 mg of Ba are present in 2 quarts of the barium nitrate solution.