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Question:How many moles and numbers of ions of each type are present in the following aqueous solutions?

(a) 130 mL of 0.45 M aluminum chloride

(b) 9.80 mL of a solution containing 2.59 g lithium sulfate/L

(c) 245 mL of a solution containingformula units of potassium bromide per liter.

Short Answer

Expert verified

Answer

The moles and numbers of ions of each type are present in the following aqueous solutions are:

(a) 0.059 mol AI3+ 0.176 mol CI-

355×1022AI3+ions,1.06×1023CI-

(b)4.62×10-4molLi+,2.31×10-4molso42-2.78×1020molLi+ions,1.39×1020molso42-ions(c)1.50×10-2molK+,1.50×10-2molBr-

Step by step solution

01

Calculate moles of ions released when  dissolve in water

The dissociation reaction of aluminium chlorideis:

AICI3(s)→AI3+(aq)+3CI-(aq)

The moles of AI3+is calculated as:

molesofAI3+=(130mI)(1L1000ml)(0.45moIAICI3Lit)(1molH+1molAICI3)=0.059molAI3+

The moles of CI-is calculated as:

localid="1663932460834" molesofAI3+=(130mI)(1L1000ml)(0.45moIAICI3Lit)(3molCI-1molAICI3)=0.1769molCI-

02

Calculate number of ions of AI3+ and CI-

The number of ions of AI3+ is:

AI3+ions=(0.059molAI3+)(6.022×1023AI3+ion.1molAI3+=3.55×1022molAI3+ions

The number of ions of CI-is:

role="math" localid="1663310371661" molesofCI-=(0.1769molCI-)(6.022×1023AI3+ion.1molCI-=1.06×1023molCI-ions

03

Calculate moles of ions released when  dissolve in water

The dissociation reaction of lithium sulfateis:

Li2SO4(s)→2LI+(aq)+SO42-(aq)

The moles ofLi+ is calculated as:

molesofLi+=(9.80mI)(1L1000ml)(2.59gLi2SO4Lit)(1moleofLi+109.95gLi2SO4)=4.62×10-4Li+ions

The moles ofSO42- is calculated as:

molesofSO42-ions=(9.80mI)(1L1000ml)(2.59gLi2SO4Lit)(1moleofLi2SO4109.95gLi2SO4)=2.31×10-4SO42-ions

04

Calculate number of ions of SO42-  and  Li+

The number of Li+ ions of is:

Li+ions=(4.62×10-4molLi+)(6022×1023CI-ions.1molCI-ion)2.78×1020Li+ions

The number ofSO42- ions of is:

role="math" localid="1663309282903" SO42-ions=(2.31×10-4SO42-ions)(6022×1023SO42-ions.1molSO42-ion)=1.39×1020SO42-ions

05

Calculate moles of ions released when  dissolve in water

The dissociation reaction of potassium bromideis:

KBr(s)→K+(aq)+Br-(aq)

The moles of K+is calculated as:

k+ions=(9.02×1021k+ions)(1molk+6022×1023k+ions.)=1.50×1023×102molk+

The moles of Br -is calculated as:

role="math" localid="1663308469248" Brions=(9.02×1021Br-ions)(1molbr-6022×1023Brions.)=1.50×1023×102molBr-

06

Calculate number of ions of  and

The number of K+ ions of is:

K+ions=(245mI)(1L1000ml)(3.68×1022F.U.KBrLit)(1Brions1F.U.KBr)=9.02×1021K+ions

The number of Br-ions of is:

Brions=(245mI)(1L1000ml)(3.68×1022F.U.KBrLit)(1Brions1F.U.KBr)=9.02×1021Br-ions

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