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A crystalline hydrated sa,t on being ren...

`A` crystalline hydrated sa,t on being rendered anhydrous, loses `45.6%` of its weight. The precentage composition of anhydrous salt is `:Al=10.5%, K=15.1%, S=24.8%` and `I=49.6%`. Find the empirical formula of the anhydrous and crystalline salt :

Text Solution

Verified by Experts

The correct Answer is:
`KAIS_(2)O_(8),KAIS_(2)O_(8).12H_(2)O`
Empirical formula
`KAlS_(2)O_(8){{:(Al,K,S,O,"Elements",),(10.5,15.1,24.8,49.6,"Mass percentage",),(0.388,0.387,0.775,3.1,"Mole ratio",),(1,1,2,8,"Simple ratio",):}`
Empirical formula weight `= 258`
From weight loss information `:54.4 g` anhydrous
salt `-= 45.6 g H_(2)O`
` implies 258g` anhydrous salt `-=216.26 g = 12` mol `H_(2)O`
implies Empirical formula of hydrated salt `=KAlS_(2)O_(8).12H_(2)O`
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A crystalline salt on being rendered anhydrous loses 45.6 % of its weight. The percentage composition of anhydrous salt is : Al = 10.5 % , K = 15.1 % , S = 24.96 %, O = 49.92 % Find the simplest formula of the anhydrous and crystalline salt.

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Knowledge Check

  • A crystalline hydrated salt on being rendered anhydrous loses 45.6% of its weight. The percentage composition of anhydrous salt is: Al = 10.5%, K= 15.1%, S = 24.8% and oxygen = 49.6% [Molar mass : Al = 27, K = 39, S = 32] What is the empirical formula of the hydrated salt?

    A
    `K_2 AISO_7 .10H_2 O`
    B
    `K_2 Al_2S_2 O_7 .16 H_2 O`
    C
    `K_3 AlS_2O_(12) .8 H_2O`
    D
    `KAlS_2 O_8 .12 H_2 O`

  • The crystalline salt Na_(2)SO_(4) on heating loses 55.9 % of its weight. The formula of the crystalline salt is :

    A
    `Na_(2)SO_(4).5H_(2)O`
    B
    `Na_(2)SO_(4).7H_(2)O`
    C
    `Na_(2)SO_(4).2H_(2)O`
    D
    `Na_(2)SO_(4).10H_(2)O`

  • The crystalline salt Na_(2)SO_(4).xH_(2)O on heating loses 55.9 % of its weight. The formula of the crystalline salt is

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    `Na_(2)SO_(4).5H_(2)O`
    B
    `Na_(2)SO_(4).7H_(2)O`
    C
    `Na_(2)SO_(4).2H_(2)O`
    D
    `Na_(2)SO_(4).10H_(2)O`

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