You’ve poured 140 grams of a 8% (by mass) alcohol solution into a large glass container. You have plenty of 6% alcohol solution. You need to make some 6.7% alcohol solution. How many grams of 6% solution do you have to add to the glass container to end up with a 6.7% alcohol solution?

independanteng

independanteng

Answered question

2022-10-12

You’ve poured 140 grams of a 8% (by mass) alcohol solution into a large glass container. You have plenty of 6% alcohol solution. You need to make some 6.7% alcohol solution. How many grams of 6% solution do you have to add to the glass container to end up with a 6.7% alcohol solution?

Answer & Explanation

elulamami

elulamami

Beginner2022-10-13Added 22 answers

8% by mass alcohol
so 100 gm solution contain 8gm alcohol
1 gm solution have 8/100 gm alcohol
140 gm solution have 0.08 140 gm alcohol =11.2 gm alcohol
now let x gm of 6% solution to add
total mass of solution =140+x
total alcohol content = 11.2 + 0.06 x
now given it is 6.7% alcohol solution
so, 100 11.2 + 0.06 x 140 + x = 6.7 1120 + 6 x = 938 + 6.7 x 182 = 0.7 x x = 260

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