A scientist is working with two different concentrations of hydrochloric acid (HCl) . One bottle is 70% HCl, and the other is 30 % HClFor their experiment they need 1 liter of 40% HCI How many liters of the 70% solution do they need ? [ Select ] How many liters of the 30% solution? [ Select
1 answer:
Answer:
They need 0.75 liters of the 30% solution
Step-by-step explanation:
Let the number of liters of 70% needed be x while the number of 30% needed be y
Since they need a total of 1 liter 40%
Hence;
x + y = 1 •••••••(i)
Furthermore;
70% * x + 30% * y = 1 * 40%
0.7x + 0.3y = 0.4 ••••••(ii)
From equation i, x = 1-y
insert this into equation ii
0.7(1-y) + 0.3y = 0.4
0.7 -0.7y + 0.3y = 0.4
0.7 -0.4 = 0.7y -0.3y
0.4y = 0.3
y = 0.3/0.4
y = 0.75 liters
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