Question #68552

Suppose a market is in equilibrium and both demand and supply curves increase. What happens to the equilibrium price if demand increases more than supply?

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68538 Chemistry, Other

What is the final solution pH after 60 mL 0.05 M Ba(OH)₂ is mixed with 25 mL 0.20 M HNO₃?

Answer:

Ba(OH)2+2HNO3=Ba(NO3)2+2H2O\mathrm{Ba(OH)}_2 + 2\mathrm{HNO}_3 = \mathrm{Ba(NO}_3)_2 + 2\mathrm{H}_2\mathrm{O}

Ba(OH)2\mathrm{Ba(OH)}_2 is a strong alkali. HNO3\mathrm{HNO}_3 is a strong acid.

In order to determine pH, we have to determine limiting reagent.

According to equation, n(Ba(OH)2)=2n(HNO3)n(\mathrm{Ba(OH)}_2) = 2 \cdot n(\mathrm{HNO}_3)

CM=n/Vn=CMVC_M = n/V \quad n = C_M \cdot Vn(Ba(OH)2)=0.0560=3 mmoln(\mathrm{Ba(OH)}_2) = 0.05 \cdot 60 = 3 \text{ mmol}n(HNO3)=0.225=5 mmolBut it must be: 2n(Ba(OH)2)=32=6 mmoln(\mathrm{HNO}_3) = 0.2 \cdot 25 = 5 \text{ mmol} \quad \text{But it must be: } 2 \cdot n(\mathrm{Ba(OH)}_2) = 3 \cdot 2 = 6 \text{ mmol}


Therefore, HNO3\mathrm{HNO}_3 is the limiting reagent. There will be an excess of Ba(OH)2\mathrm{Ba(OH)}_2 of (35/2=0.5 mmol)(3-5/2=0.5 \text{ mmol}) with an anticipated basic pH.


pOH=lg[0.0005]=3.3\mathrm{pOH} = -\lg[0.0005] = 3.3pH+pOH=14\mathrm{pH} + \mathrm{pOH} = 14pH=143.3=10.7\mathrm{pH} = 14-3.3 = 10.7

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