Question

From a full 50-liter container of a 40% concentration of acid, x liters are removed and replaced with 100% acid. What is the resulting concentration of acid in the container?

a) 60%
b) 70%
c) 80%
d) 90%

Answer 1

To find the resulting concentration of acid, use the concept of dilution. Calculate the initial amount of acid, then use the dilution equation to find the resulting concentration.

Step-by-step explanation:

To find the resulting concentration of acid in the container, we can use the concept of dilution.

First, we need to determine the amount of acid in the initial 50-liter container. Since the concentration of acid is 40%, we have:
Initial amount of acid = 40% of 50 liters = 0.4 * 50 = 20 liters

Next, we need to calculate the amount of acid in the x liters that are removed from the container. Since we're removing x liters, the new amount of acid remaining in the container is 20-x liters.

When x liters are removed and replaced with 100% acid, the amount of acid in the container remains the same at 20 liters, but the total volume decreases by x liters. So the resulting concentration of acid in the container is:
Resulting concentration = (20 liters / (50 liters - x liters)) * 100%

Therefore, the resulting concentration of acid in the container depends on the value of x, the number of liters removed.