Question

How many 10-gram tablets would you need to prepare 250 mL of a 1:5 solution?

Answer 1

We need 5 tablets.

Step-by-step explanation:

We need to prepare 250 mL of a 1 : 5 solution.

When we are talking about solutions , '' a : b '' is known as the solution ratio.

Where ''a'' and ''b'' are integer numbers.

In our exercise, we have a 1 : 5 solution ratio. This means that we will have 1 gram of solute for each 5 mL of solution.

To calculate the mass of solute we can write the following :

`(1g)/(5mL)=(X)/(250mL)`

Notice that we equalize the solution ratio to the mass of solute ''
`X`'' divided by the total volume of solution (250 mL).

Solving for
`X` ⇒

`X=((1g).(250mL))/(5mL)` ⇒
`X=50g`

We found out that we need 50 g of solute.

Given that each tablet has 10 g of solute ⇒

`(50g)/(10(g)/(tablet))=5tablets`

We need five 10-gram tablets to prepare the solution.