Consider the neutralization reaction:

2HNO₃(aq)+Ba(OH)₂(aq)⟶2H₂O(l)+Ba(NO₃)₂(aq)
A 0.115 L sample of an unknown HNO₃ solution required 41.1 mL of 0.100 M Ba(OH)₂ for complete neutralization.
What is the concentration of the HNO₃ solution?

Respuesta :

Answer: the concentration of the acid (HNO₃) is 0.071M

Explanation:

2HNO₃+ Ba(OH)₂ —> 2H₂O+ Ba(NO₃)₂

nA = 2, Va = 0.115L = 115mL, Ca =?

nB = 1, Vb = 41.1mL, Cb = 0.1M

(Ca x Va) / (Cb x Vb) = nA / nB

(Ca x 115) / (0.1 x 41.1) = 2 / 1

(Ca x 115) / 4.11 = 2

Ca x 115 = 4.11 x 2

Ca = 8.22 / 115

Ca = 0.071M

Answer:

The concentration of the HNO3 solution is 0.0715 M

Explanation:

Step 1: Data given

Volume of the unknown HNO3 solution = 0.115 L

Volume of a 0.100 M Ba(OH)2 solution = 41.1 mL = 0.0411 L

Step 2: The balanced equation

2HNO₃(aq)+Ba(OH)₂(aq) ⟶ 2H₂O(l)+Ba(NO₃)₂(aq)

Step 3: Calculate the concentration of HNO3

a*Cb*Vb = b * Ca*Va

⇒ with a = the coefficient of HNO3 = 2

⇒ with Cb = the concentration of Ba(OH)2 = 0.100 M

⇒ with Vb = the volume of Ba(OH)2 = 0.0411 L

⇒ with b = the coefficient of Ba(OH)2 = 1

⇒ with Ca = the concentration of HNO3 = TO BE DETERMINED

⇒ with  Va = the volume of HNO3 = 0.115 L

2*0.100*0.0411 = 1*Ca * 0.115

Ca = 0.0715 M

The concentration of the HNO3 solution is 0.0715 M

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