Determine the total volume of the gaseous products at the end of the reaction (molar gas volume =22.4dm3 at s.t.p . mg=24 o=16 N=14

Chemistry

ScanSolve AI Answer

Answer

2.8 dm32.8 \text{ dm}^3

Step-by-step solution

5 steps

Ili kubainisha jumla ya ujazo wa gesi iliyotokana na mmenyuko, tutafuata hatua hizi:

  1. Kokotoa masi ya mola ya magnesium nitrate, Mg(NO3)2\text{Mg(NO}_3)_2.

    Tumia masi za atomiki zilizopewa: Mg = 24, O = 16, N = 14.
    Mr(Mg(NO3)2)=24+2×(14+3×16)\text{M}_r(\text{Mg(NO}_3)_2) = 24 + 2 \times (14 + 3 \times 16)
    Mr(Mg(NO3)2)=24+2×(14+48)\text{M}_r(\text{Mg(NO}_3)_2) = 24 + 2 \times (14 + 48)
    Mr(Mg(NO3)2)=24+2×62\text{M}_r(\text{Mg(NO}_3)_2) = 24 + 2 \times 62
    Mr(Mg(NO3)2)=24+124=148 g/mol\text{M}_r(\text{Mg(NO}_3)_2) = 24 + 124 = 148 \text{ g/mol}

  2. Kokotoa idadi ya mola za magnesium nitrate.

    Idadi ya mola = MasiMasi ya mola\frac{\text{Masi}}{\text{Masi ya mola}}
    Idadi ya mola za Mg(NO3)2=7.4 g148 g/mol=0.05 mol\text{Mg(NO}_3)_2 = \frac{7.4 \text{ g}}{148 \text{ g/mol}} = 0.05 \text{ mol}

  3. Tumia mlinganyo uliosawazishwa kupata idadi ya mola za gesi zinazozalishwa.

    Mlinganyo uliosawazishwa ni:

    2Mg(NO3)2(s)→heat2MgO(s)+4NO2(g)+O2(g)2\text{Mg(NO}_3)_2 \text{(s)} \xrightarrow{\text{heat}} 2\text{MgO(s)} + 4\text{NO}_2\text{(g)} + \text{O}_2\text{(g)}

    Kutoka mlinganyo, uwiano wa mola wa Mg(NO3)2:NO2:O2\text{Mg(NO}_3)_2 : \text{NO}_2 : \text{O}_2 ni 2:4:12 : 4 : 1.
    Mola za NO2=42×0.05 mol=2×0.05 mol=0.10 mol\text{NO}_2 = \frac{4}{2} \times 0.05 \text{ mol} = 2 \times 0.05 \text{ mol} = 0.10 \text{ mol}
    Mola za O2=12×0.05 mol=0.5×0.05 mol=0.025 mol\text{O}_2 = \frac{1}{2} \times 0.05 \text{ mol} = 0.5 \times 0.05 \text{ mol} = 0.025 \text{ mol}

  4. Kokotoa jumla ya mola za gesi.

    Jumla ya mola za gesi = Mola za NO2\text{NO}_2 + Mola za O2\text{O}_2
    Jumla ya mola za gesi = 0.10 mol+0.025 mol=0.125 mol0.10 \text{ mol} + 0.025 \text{ mol} = 0.125 \text{ mol}

  5. Kokotoa jumla ya ujazo wa gesi kwenye s.t.p.

    Ujazo wa mola wa gesi kwenye s.t.p. ni 22.4 dm3/mol22.4 \text{ dm}^3/\text{mol}.
    Ujazo wa gesi = Jumla ya mola za gesi ×\times Ujazo wa mola wa gesi
    Ujazo wa gesi = 0.125 mol×22.4 dm3/mol0.125 \text{ mol} \times 22.4 \text{ dm}^3/\text{mol}
    Ujazo wa gesi = 2.8 dm32.8 \text{ dm}^3

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp