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A) State Gay Lusaac's Law. b) 10cm3 of a gaseous Hydrocarbon, CxHy required 30cm3 of oxygen for complete combustion and 20cm3 of Carbon (IV) Oxide gas were produced, what is the value of x and y?

Chemistry

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Answer

b
2
4

Step-by-step solution

4 steps

Part a

Sheria ya Gay-Lussac inasema kwamba, wakati halijoto na shinikizo vikiwa sawa, uwiano wa ujazo wa gesi zinazoshiriki katika mmenyuko wa kemikali (na bidhaa za gesi) ni uwiano rahisi wa namba nzima.

Part b2

  1. Andika mlinganyo mkuu wa mwako wa haidrokaboni.

    CxHy(g)+(x+y4)O2(g)⟶xCO2(g)+y2H2O(g)\text{C}_x\text{H}_y(\text{g}) + \left(x + \frac{y}{4}\right)\text{O}_2(\text{g}) \longrightarrow x\text{CO}_2(\text{g}) + \frac{y}{2}\text{H}_2\text{O}(\text{g})
  2. Tumia Sheria ya Gay-Lussac ya ujazo unaoungana.

    Ujazo uliotolewa ni:
    Ujazo wa CₓHy = 10 cm310 \text{ cm}^3
    Ujazo wa O₂ = 30 cm330 \text{ cm}^3
    Ujazo wa CO₂ = 20 cm320 \text{ cm}^3

    Gawanya ujazo wote kwa ujazo mdogo zaidi (10 cm310 \text{ cm}^3) ili kupata uwiano wa coefficients:
    CₓHy : O₂ : CO₂
    10 cm3:30 cm3:20 cm310 \text{ cm}^3 : 30 \text{ cm}^3 : 20 \text{ cm}^3
    1:3:21 : 3 : 2

  3. Linganisha coefficients kutoka kwa uwiano na mlinganyo mkuu.

    Kutoka kwa CO₂:
    Coefficient ya CO₂ ni xx.
    Hivyo, x=2x = 2.

  4. Tumia thamani ya xx kupata yy kutoka kwa coefficient ya O₂.

    Coefficient ya O₂ ni (x+y4)\left(x + \frac{y}{4}\right).
    Hivyo, x+y4=3x + \frac{y}{4} = 3.
    Badilisha x=2x = 2:
    2+y4=32 + \frac{y}{4} = 3
    y4=3−2\frac{y}{4} = 3 - 2
    y4=1\frac{y}{4} = 1
    y=4y = 4

    Thamani za xx na yy ni:
    x=2x = \boxed{2}
    y=4y = \boxed{4}

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