Question:

How would you solve this Molarity Problem?

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I do not understand how to do this question.

How would you go about doing it?

A.) How many milliliters of 0.248 M HCl are needed to react with 1.36 g of Zinc to produce hydrogen?

B.) What mass of precipitate will be isolated from the reaction of 200mL of 0.50 M potassium iodide and 100mL of 1.0 M lead (II) nitrate?

Thank you so much!

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4 ANSWERS




  1. Zn + 2HCl -----> ZnCl2     +   H2

    atomic mass (Zn)=65.37g/mol

    molecular mass(HCl)=1+35.5

    =36.5

    65.37 g of zinc is reacting with 73g of HCl

    1.36 g of zinc will react with =73*1.36/65.37

    =1.51 g of HCl

    36.5 g of HCl= 1 mol

    1.51 g of HCl=0.04mol

    Molarity of HCl=0.248M

    let volume be V

    molarity = number of moles of solute / volume of solution in litres

    0.248=0.04/V

    V=0.04/0.248

    =0.16 litres

    1 litres = 1000 millilitres

    0.16 litres=1000*0.16

    =160millilitres

    b)

    for potassium iodide

    Volume=200 ml =200*10^ -3 litres

    molarity(M)=0.50

    molecular mass of KI=39+127=166 g/mol

    number of moles of solute=amount in grams/molecular mass

    molarity=number of moles of solute / volume of solution in litres

    amount in grams=0.50*166*200*10^ -3

    =16.6 g

    for lead nitrate

    Pb(NO3)2

    molecular mass of lead nitrate=207+2*(14+3*16)

    =331 g/mol

    using same formula we can calculate amount in grams

    i.e. =33.1 g

    2KI(aq) + Pb(NO3)2(aq) -> 2KNO3(aq) + PbI(s)

    332 grams of KI reacting with 331 g of Pb(NO3)2

    16.6 grams of KI will react with =331*16.6/332

    =16.55 grams of Pb(NO3)2

    but amount of Pb(NO3)2 present is 33.1 g

    so KI is limiting reagent which limits the formation of products

    2KI(aq) + Pb(NO3)2(aq) -> 2KNO3(aq) + PbI(s)

    molecular mass of PbI=207+127=334 g/mol

    332 grams of KI is forming  334 g of PbI

    16.6 grams of KI will form = (334*16.6)/332

    =16.7 g of PbI

    16.7 g of precipitate will be isolated from reaction


  2. a) Zn + 2H+ -> Zn++ + H2

    moles Zn = 1.36/ at wt Zn

    moles H+ needed = 2*moles Zn

    ml of HCl = 1000 ml/liter * moles Zn/0.248 moles H+/liter

    b) 2KI + Pb(NO3)2 -> PbI2

    grams PbI2 = [lesser of (1/2 * moles of KI) or (moles of Pb)] * MW PbI2

    moles KI = 0.200 * 0.50 = 0.1 mole I- available; so can generate only 0.05 moles PbI2

    moles Pb = 0.100 * 1 = 0.1

    Thus KI is the limiting factor.

    I leave the other math to you

  3. A) Zn + 2 HCl >> ZnCl2 + H2

    Moles Zn = 1.36 g /65.409 g/mol = 0.0208

    Moles HCl needed = 2 x 0.0208 =0.0416

    V = moles / M = 0.0416 / 0.248 =0.168 L => 168 mL

    2KI + Pb(NO3)2 >> PbI2 + 2 KNO3

    Moles KI = 0.200 L x 0.50 M =0.10

    Moles Pb(NO3)2 = 0.100 L x 1.0 M = 0.100

    the ratio is 2 : 1 so KI is the limiting reactant

    we will get 0.100/2 =0.050 moles of PbI2

    Mass PbI2 = 0.050 mol x 461.05 g/mol =23.1 g

  4. i) V*.248=2*1.36/65

    V=2*1.36/65*.248=0.1687L =168.7 mL

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