Tusaale su'aal dood ah oo ku saabsan stoichiometry

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Stoichiometry waa laan kiimiko ah oo barta saamiga tirada ee u dhexeeya falgalayaasha iyo alaabada falgalka kiimikada. Asal ahaan, stoichiometry waxay si dhow ula xiriirtaa sharciga ilaalinta cufka, oo uu markii ugu horreysay soo jeediyay Antoine Lavoisier. Sayniskani wuxuu aasaas u yahay fikrado badan oo ku saabsan kiimikada, laga bilaabo falcelinta fudud ilaa hababka warshadaha ee adag. Maqaalkani wuxuu ka hadli doonaa dhowr tusaale oo dhibaatooyinka stoichiometry ah, iyo sidoo kale sharraxaaddooda iyo xalalkooda.

Tusaale 1: Falcelinta Haydarojiin iyo Ogsajiin

Su'aal: Xisaabi tirada molecules-ka biyaha ee ka samaysan falgalka u dhexeeya 4 garaam oo haydarojiin ah (H₂) iyo 32 garaam oo ogsijiin ah (O₂).

Dood:
1. Qorista Isle'egta Falcelinta:
Falcelinta u dhaxaysa haydarojiin iyo ogsijiin si ay u sameeyaan biyo waxaa loo qori karaa sidan soo socota:
\[ 2H₂ + O₂ \ fallaadha midig 2H₂O \]

2. Xisaabinta Cufka Gacmaha:
Cufka molar ee haydarojiin (H₂) waa 2 g/mol, cufka molar ee oksijiin (O₂) waa 32 g/mol. Biyuhu (H₂O) waxay leeyihiin cuf molar ah oo ah 18 g/mol.

3. Xisaabinta Tirada Moles-ka Falgalka:
Tirada burooyinka haydarojiin:
\[ \text{mol H₂} = \frac{\text{mass}}{\text{molar mass}} = \frac{4}{2} = 2 \text{mol} \]

Tirada burooyinka oksijiinta:
\[ \text{mol O₂} = \frac{\text{mass}}{\text{molar mass}} = \frac{32}{32} = 1 \text{mol} \]

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4. Go'aami Reagent-ka Xaddidaya:
Sida waafaqsan isla'egta falgalka, 2 mool oo H₂ ah ayaa la falgala 1 mool oo O₂ ah. Halkan, haydarojiin (2 mool) waxay la mid tahay 1 mool oo oksijiin ah, sida waafaqsan stoichiometry ee isla'egta.

5. Xisaabinta Tirada Badeecadaha:
Laga soo bilaabo isleegga falcelinta, 2 moles oo H₂ ah ayaa soo saara 2 moles oo H₂O ah. Maadaama aan haysanno 2 moles oo H₂ ah, waxay samaysan doontaa:
\[ 2 \qoraal{ moles H₂O} = 2 \jeer 6,022 \jeer 10^{23} \qoraal{ moles} = 1,2044 \jeer 10^{24} \qoraal{ moles} \]

Su'aal Tusaale ah 2: Gubashada Propane

Su'aal: Waa maxay mugga gaaska kaarboon laba ogsaydh (CO₂) ee la soo saaro xaaladaha STP haddii 44 garaam oo propane ah (C₃H₈) si buuxda loo gubo?

Dood:
1. Qorista Isle'egta Falcelinta:
Gubashada ugu fiican ee propane waa:
\[ C₃H₈ + 5O₂ \rightarrow 3CO₂ + 4H₂O \]

2. Xisaabinta Cufka Gacmaha:
Cufka molar ee propane (C₃H₈) waa 44 g/mol. Sidaa darteed, tirada moles ee propane waa:
\[ \text{mol C₃H₈} = \frac{44}{44} = 1 \text{mol} \]

3. Daawashada Isbarbardhigga Stoichiometric:
Laga soo bilaabo isla'egta kiimikada, 1 mol oo C₃H₈ ah ayaa soo saarta 3 mol oo CO₂ ah.

4. Xisaabinta Mugga CO₂:
Xaaladaha STP (heerkulka caadiga ah iyo cadaadiska), 1 mole oo gaas ah wuxuu leeyahay mug dhan 22,4 L. Markaa mugga CO₂ ee la soo saaro waa:
\[ \text{Mugga CO₂} = 3 \text{ mol} \times 22,4 \text{ L/mol} = 67,2 \text{ L} \]

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Su'aal Tusaale ah 3: Falcelinta Aashitada-Saldhigga Titration

Su'aal: Waa maxay mugga xalka 0,1 M NaOH ee loo baahan yahay si loo dhexdhexaadiyo 50 mL oo ah xalka 0,1 M HCl?

Dood:
1. Qorista Isle'egta Falcelinta:
Falcelinta u dhaxaysa NaOH iyo HCl waa:
\[ NaOH + HCl \arrow midig NaCl + H₂O \]

2. Xisaabinta Tirada Moles-ka HCl:
\[ \text{mol HCl} = M \times V = 0,1 \text{ M} \times 0,050 \text{ L} = 0,005 \text{ mol} \]

3. Xisaabinta Tirada Moles-ka NaOH:
Laga soo bilaabo isla'egta falgalka, 1 mole oo NaOH ah ayaa la falgasha 1 mole oo HCl ah. Sidaa darteed, mole-yada NaOH ee loo baahan yahay sidoo kale waa 0,005 mole.

4. Xisaabinta Mugga NaOH:
\[ \text{Mugga NaOH} = \frac{\text{mol}}{M} = \frac{0,005 \text{mol}}{0,1 \text{ M}} = 0,050 \text{ L} = 50 \text{ mL} \]

Su'aal Tusaale ah 4: Falcelinta Reagent-ka sii daaya

Su'aal: Haddii 10 garaam oo kaalshiyam kaarboonat (CaCO₃) lagu falgalo 100 mL oo ah 1 M HCl oo dareere ah, imisa garaam oo kaarboon laba ogsaydh ah (CO₂) ayaa la soo saaraa?

Dood:
1. Qorista Isle'egta Falcelinta:
Falcelinta u dhaxaysa CaCO₃ iyo HCl waa:
\[ CaCO₃ + 2HCl \rightarrow CaCl₂ + H₂O + CO₂ \]

2. Xisaabinta Cufka Gacmaha:
Cufka molar ee CaCO₃ waa 100 g/mol, HCl-na waa 36,5 g/mol.

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3. Xisaabinta Tirada Moles-ka Falgalka:
\[ \text{mol CaCO₃} = \frac{10 \text{ g}}{100 \text{ g/mol}} = 0,1 \text{ mol} \]
\[ \text{mol HCl} = 1 \text{ M} \times 0,1 \text{ L} = 0,1 \text{ mol} \]

4. Go'aami Reagent-ka Xaddidaya:
Iyada oo ku saleysan isle'egta falgalka, 1 mol oo CaCO₃ ah ayaa la falgasha 2 mol oo HCl ah. Halkan, CaCO₃ waa fal-galka xaddidan sababtoo ah 0,1 mol oo CaCO₃ ah wuxuu u baahan doonaa 0,2 mol oo HCl ah, halka aan haysanno oo keliya 0,1 mol oo HCl ah.

5. Xisaabinta Tirada Badeecadaha:
Marka la helo 0,1 mol oo HCl ah, 0,05 mol oo keliya oo CaCO₃ ah ayaa falcelin doona, taasoo soo saari doonta 0,05 mol oo CO₂ ah.

6. Xisaabinta Cufka CO₂:
Cufka molar ee CO₂ waa 44 g/mol. Sidaa darteed, cufka CO₂ ee la soo saaro waa:
\[ \text{cufnaanta CO₂} = 0,05 \text{mol} \times 44 \text{ g/mol} = 2,2 \text{ g} \]

Gabagabo

Fahmidda stoichiometry waxay u baahan tahay aqoon aasaasi ah oo ku saabsan cufka molar, isla'egyada falgalka kiimikada, iyo fikradda moles. Ku celcelinta dhibaatooyinka tusaalooyinka kala duwan waxay gacan ka geysan kartaa xoojinta fahamka xiriirka ka dhexeeya falgalayaasha iyo alaabada falgallada kiimikada. Maqaalkani wuxuu soo bandhigayaa dhowr dhibaato oo tusaale ah oo daboolaya noocyo kala duwan oo falgal ah, laga bilaabo kuwa fudud ilaa kuwa ku lug leh xaddididda falgallada, si loo caddeeyo fikradda stoichiometry.

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