It takes 22.5 milliliters (mL) of a diluted sodium hydroxide solution to neutralize a 5 mL sample of fruit juice . The amount of solution required is proportional to the amount of juice. How many mL of the sodium hydroxide solution would it take to neutralize a 240 mL sample of the same fruit juice? square

To solve this problem, we need to use the concept of proportionality. The amount of sodium hydroxide solution required to neutralize the fruit juice is directly proportional to the volume of the juice.<br /><br />Given:<br />- 22.5 mL of sodium hydroxide solution is required to neutralize 5 mL of fruit juice.<br />- We need to find the amount of sodium hydroxide solution required to neutralize 240 mL of the same fruit juice.<br /><br />Let \( x \) be the volume of the sodium hydroxide solution required to neutralize 240 mL of the fruit juice.<br /><br />We can set up a proportion based on the given information:<br /><br />\[<br />\frac{22.5 \text{ mL}}{5 \text{ mL}} = \frac{x \text{ mL}}{240 \text{ mL}}<br />\]<br /><br />Now, solve for \( x \):<br /><br />\[<br />\frac{22.5}{5} = \frac{x}{240}<br />\]<br /><br />\[<br />4.5 = \frac{x}{240}<br />\]<br /><br />Multiply both sides by 240 to solve for \( x \):<br /><br />\[<br />4.5 \times 240 = x<br />\]<br /><br />\[<br />x = 1080<br />\]<br /><br />Therefore, it would take 1080 mL of the sodium hydroxide solution to neutralize a 240 mL sample of the same fruit juice.