A 93 L batch of Ropivacaine is being made. The specific gravity is 1.01 g/mL. 196.42 g of Ropivacaine and 799.8g of sodium chloride are added. What is the weight of the water to be added to QS the solution?

Respuesta :

Answer:

92.93378 kg

Step-by-step explanation:

Given that:

Volume of Batch = 93 L

= 93 × 1000     (since 1 L = 1000 mL)

= 93000 mL  

Specific gravity = [tex]\dfrac{density \ of \ solution}{density \ of \ water}[/tex]

where;

density of water = 1 g/ml

specific gravity = 1.01 g/mL

Density of solution = (1.01 × 1) g/mL

Density of solution = 1.01 g/mL

[tex]Density \ of \ solution = \dfrac{mass \ of \ batch }{volume \ of \ batch}[/tex]

mass of batch = 1..01 g/mL × 93000 mL

mass of batch = 93930 g

Now, the mass of additional water = mass of (batch - Ropivaciance - sodium chloride)

= 93930 g - 196.42 g - 799.8 g

= 92933.78  g

Since 1kg = 1000 g

The weight of the water to be added to the QS solution is:

[tex]=\dfrac{92933.78}{1000}[/tex]

= 92.93378 kg