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How many liters of a 2% hydrochloric acid(HCI) solution and an 11% HCI solution should Karen mix to obtain 3 L of the 8% HCI solution needed in the chemistry lab?

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Let x liters of a 2 % HCL is mixed with (3-x) liters of 11 % HCL solution to obtain 3 liters of 8% HCL solution. So the equation will be


0.02x + 0.11(3-x)= 3*0.08

Distributing 0.11 on 3-x, we will get


0.02x +0.33 - 0.11x = 0.24

Combining like terms


-0.09x = -0.09

Dividing both sides by -0.09


x=1 liter

So 1 liter of 2 % HCL solution is mixed with 2 liters of 11% HCl solution to get 3 liters of 8% HCL solution .

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