Question #45027

How much water in liters, must be added to 0.5 liter of 6 M HCl to make the solution
2 M?
A) 0.33
B) 0.5
C) 1
D) 1.5
E) 2

Expert's answer

Answer on Question #45027 – Chemistry – Other

Question

How much water in liters, must be added to 0.5 liter of 6 M HCl to make the solution 2 M?

A) 0.33

B) 0.5

C) 1

D) 1.5

E) 2

Solution

Number of moles of HCl in 0.5 L (V₀) of 6 M (C₀) solution:


n=C0V0=6 mol/L0.5 L=3 moln = C_0 \cdot V_0 = 6 \ \text{mol/L} \cdot 0.5 \ L = 3 \ \text{mol}


Volume (V) of 2 M (C) solution of HCl, containing 3 mol of HCl (n):


V=n/C=3 mol/2 mol/L=1.5 LV = n / C = 3 \ \text{mol} / 2 \ \text{mol/L} = 1.5 \ L


Volume of water which must be added to the initial solution to make the final solution:


Vw=VVo=1.5 L0.5 L=1 LV_w = V - V_o = 1.5 \ L - 0.5 \ L = 1 \ L


Answer: correct option is C) 1

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