how much pure alcohol must be added to 400 ml of 15% solution to make its strength 32% A 40 ml B. 120 ml C 100 ml D 150ml
Answers
Answer:
100 ml
Step-by-step explanation:
given quantity of alcohol in 400 ml solution is 15/100 * 400 =60 ml.
let the pure alcohol added be x , now the solution becomes (400+x)ml and alcohol becomes (60+x)ml , now this (60+x) ml must be 32% of the solution which is (400+x)ml
mathematical equation will be:
(60+x)*100/(400+x) =32
x will come 100 ml
Hi mate,
Solution :
=> Volume of alcohol in 400 ml solution
➾ 0.15 × 400 ml
=> Volume of alcohol in 400 ml solution
➾ 60 ml
=> Volume of others liquid
➾ 340 ml
=> Let x ml of alcohol is added to make it 32% strong
=> Then, volume of alcohol
➾ 60+x ml
=> Volume of other liquid
➾ 340 ml
=> Volume of solution
➾ 400 + x ml
➾ 0.32 × (400 + x) = 60 + x
➾ 128 + 0.32x = 60 + x
➾ 0.68x = 68
➾ 68x = 6800
➾ x = 100 ml ...
Answer : 100 ml pure alcohol must be added to 400ml of a 15% solution to make it's strength 32%
i hope it helps you