Home
Class 11
CHEMISTRY
Calculate the simultaneous solubilities ...

Calculate the simultaneous solubilities of `AgSCN` and `AgBr`.
`K_(sp) (AgSCN) = 1.0 xx 10^(-12), K_(sp) (AgBr) = 5.0 xx 10^(-13)`

Text Solution

Verified by Experts

Suppose the simultaneous solubility of AgCNS and AgBr in water are a and b respectively.
`{:(AgCNS hArr Ag^(+) + CNS^(-) , AgBr hArr Ag^(+) + Br^(-)),(" a a"," b b"):}`
Thus, `[Ag^(+)] = a+b , [ CNS^(-)] = a, [Br^(-) ] = b `
`K_(sp) ` of AgCNS `= [Ag^(+)] [ CNS^(-)]= a (a+b)`
`:. a(a+b) = 5 xx 10^(-12) " " ...(i)`
`K_(sp) "of" AgBr = [Ag^(+)][Br^(-)]=b (a+b)`
`:. b(a+b) = 5 xx 10^(-13) " " ...(ii)`
Dividing eqn. (i) by (ii), we get
`(a)/(b) = (10^(-12))/(5xx10^(-13))=2 or a = 2b`
Putting this value in eqn. (i)
`2b(2b+b) = 10^(-12) or 6b^(2) = 10^(-12) or b^(2) = 1/6 xx 10^(-12)`
or, `b= 4.08xx10^(-7) "mol" L^(-1) `
`a=2b=2xx4.08xx10^(-7) "mol" L^(-1) = 8.16xx10^(-7) "mol " L^(-1)`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • EQUILIBRIUM

    PRADEEP|Exercise Curiosity Question|4 Videos

  • EQUILIBRIUM

    PRADEEP|Exercise Problems For Practice|67 Videos

  • EQUILIBRIUM

    PRADEEP|Exercise Competition Focus (VIII. Assertion-Reason Type Questions)|16 Videos

  • ENVIRONMENTAL CHEMISTRY

    PRADEEP|Exercise COMPETITION FOCUS (JEE(Main and Advanced)/Medical Entrance (VI.ASSERTION-REASON) Type II|6 Videos

  • EQUILIBRIUM IN PHYSICAL AND CHEMICAL PROCESSES

    PRADEEP|Exercise Competition Focus (Jee(Main and advanced)/Medical Entrance) VIII. ASSERTION - REASON TYPE QUESTIONS (TYPE - II)|10 Videos

Similar Questions

Explore conceptually related problems

Calculate the simultaneous solubility of CaF_2 and SrF_2. K_(sp) (CaF_(2))=3.9 xx 10^(-11) K_(sp) (SrF_2)=2.9 xx 10^(-9) .

The following solutions were mixed: 500 mL of 0.01 M AgNO_3 and 500 mL of a solution that was both 0.01 M in NaCl and 0.01 M in NaBr. Calculate [Ag^+], [CI^-] and [Br^-] in the equilibrium solution. K_(sp) (AgCl) = 1.0 xx 10^(-10) , K_(sp) (AgBr) = 5 xx 10^(-13)

Knowledge Check

  • The solubility of AgCl in 0.2 M NaCl is [K_(sp) AgCl =1.8 xx 10^(-10)]

    A
    `1.8 xx 10^(-11)M`
    B
    `9.0 xx 10^(-10)M`
    C
    `6.5 xx 10^(12)M`
    D
    `5.6 xx 10^(-11)M`

  • The solubility of AgCl in 0.1 M NaCl is ( K_(sp) of AgCl = 1.2 xx 10^(-10) )

    A
    `0.05 M`
    B
    `1.2 xx 10^(-6)`
    C
    `2 xx 10^(-5)`
    D
    `1.2 xx 10^(-9)`

  • If the solubility of AgCl in 0.1 M NaCl is ( K_(sp) of AgCl = 1.2 xx 10^(-10) )

    A
    11
    B
    9
    C
    13
    D
    5

    • Similar Questions

    Explore conceptually related problems

    Calculate simultaneous solubility of AgCNS and AgBr in a solution of water. (K_(SP)of AgBr = 5xx10^(-13) and K_(SP)of AgCNS = 1xx10^(-12))

    On addition of increasing amount of AgNO_(3) (g) to 0.1 M each of NaCl and NaBr in a solution, what % of Br^(-) ion gets precipitated when Cl^(-) ion starts precipitating? Given: K_(sp) (AgCl) = 1.0 xx 10^(-10), K_(sp) (AgBr) = 1 xx 10^(-13) .

    The solubility of AgSCN in 0.002 M NH_(3) is ( K_(sp) for AgSCN=1.0xx10^(-12),K_(d) for Af(NH_(3))_(2)^(+)=1.0xx10^(-8) )

    Some chemists at wished to perpare a saturated solution of a silver compound and they wanted it to have the highest concentration of silver ion possible. Which of the following compound would they use ? K_(sp) (AgCI) = 1.8 xx 10^(-10), K_(sp) (AgBr) = 5.0 xx 10^(-13) , K_(sp) (Ag_(2)CrO_(4)) = 2.4 xx 10^(-12) ["Use" 3sqrt(0.6) = 0.84]

    A solution is found to contain [CI^(Theta)] = 1.5 xx 10^(-1)M, [Br^(Theta)] = 5.0 xx 10^(-4)M, [CrO_(4)^(2-)] = 1.9xx 10^(-2)M . A solution of AgNO_(3) (100 % dissociated) is added to the above solution drop by drop. Which silver salt will precipiate first ? Given: K_(sp) (AgCI) = 1.5 xx 10^(-10), K_(sp) (AgBr) = 5.0 xx 10^(-13),K_(sp) (Ag_(2)CrO_(4)) =1.9 xx 10^(-12) .

    Home
    Profile