10 litres of concentrated acid containing 75% of acid and rest water is mixed with X litres of diluted acid containing 40% of acid and rest water. If the final mixture contains 60% of acid then value of X is :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 7.5 litres
Given,
- 10 L of concentrated acid contains 75% acid & 25% water
- X L of Diluted acid contains 40% acid and 60% water
- Final mixture contains 60% acid
Acid in concentrated solution = $10 × 0.75 = 7.5 L$
Acid in diluted solution = $X × 0.40 = 0.40X\, L$
∴ Total acid in final mixture,
$⇒7.5+0.40X=0.60(10+X)$
$⇒1.5=0.20X$
$⇒X=7.5L$