If 8.25 pounds of soda ash are mixed into 45 gallons of water, what is the resulting percentage of soda ash in the slurry?

If 8.25 pounds of soda ash are mixed into 45 gallons of water, what is the resulting percentage of soda ash in the slurry?

• A. 3.5% soda ash slurry
• B. 1.5% soda ash slurry
• C. 2.2% soda ash slurry
• D. 2.0% soda ash slurry

Answer: (C)

To determine the percentage of soda ash in the slurry, the formula used is: \[ \text{Percentage} = \left( \frac{\text{Weight of soda ash}}{\text{Total weight of the slurry}} \right) \times 100 \] First, we need to convert the gallons of water into pounds because the weight of soda ash is provided in pounds. The weight of 1 gallon of water is approximately 8.34 pounds. Therefore, for 45 gallons: \[ \text{Weight of water} = 45 \, \text{gallons} \times 8.34 \, \text{pounds/gallon} = 375.3 \, \text{pounds} \] Now, we add the weight of the soda ash to this weight: \[ \text{Total weight of slurry} = \text{Weight of water} + \text{Weight of soda ash} = 375.3 \, \text{pounds} + 8.25 \, \text{pounds} = 383.55 \, \text{pounds} \] Next, we calculate the percentage of soda ash in the slurry: \

To determine the percentage of soda ash in the slurry, the formula used is:

[

\text{Percentage} = \left( \frac{\text{Weight of soda ash}}{\text{Total weight of the slurry}} \right) \times 100

]

First, we need to convert the gallons of water into pounds because the weight of soda ash is provided in pounds. The weight of 1 gallon of water is approximately 8.34 pounds. Therefore, for 45 gallons:

[

\text{Weight of water} = 45 , \text{gallons} \times 8.34 , \text{pounds/gallon} = 375.3 , \text{pounds}

]

Now, we add the weight of the soda ash to this weight:

[

\text{Total weight of slurry} = \text{Weight of water} + \text{Weight of soda ash} = 375.3 , \text{pounds} + 8.25 , \text{pounds} = 383.55 , \text{pounds}

]

Next, we calculate the percentage of soda ash in the slurry:

\