The gas phase decomposition of sulfuryl chloride SO₂Cl₂ SO₂ + Cl₂ follows a first-order law. The reaction is carried out in a constant volume (V) isothermal batch reactor. For the first-order reaction, the rate r = kC₁, where C₁ (mol/liter) is the concentration of sulfuryl. And k = 3.5(e-3) min mi (3.1) Use the mass balance (for transient processes) to find the equation for depletion of C₁ (t) as a function of time (t). (3.2) Solve this ordinary differential equation for C₁ at t = 4 minute, using the initial condition: at t=0, C₁ (0) = 0.0284 mol/liter. wwwwwmm

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The gas phase decomposition of sulfuryl chloride
SO₂Cl₂ → SO₂ + Cl₂
follows a first-order law. The reaction is carried out in a constant volume (V) isothermal
batch reactor. For the first-order reaction, the rate r = kC₁, where C₁ (mol/liter) is the
concentration of sulfuryl. And k = 3.5(e-3) min
(3.1) Use the mass balance (for transient processes) to find the equation for depletion of
C₁ (t) as a function of time (t).
(3.2) Solve this ordinary differential equation for C₁ at t = 4 minute, using the initial
condition: at t=0, C₁ (0) = 0.0284 mol/liter.
Transcribed Image Text:The gas phase decomposition of sulfuryl chloride SO₂Cl₂ → SO₂ + Cl₂ follows a first-order law. The reaction is carried out in a constant volume (V) isothermal batch reactor. For the first-order reaction, the rate r = kC₁, where C₁ (mol/liter) is the concentration of sulfuryl. And k = 3.5(e-3) min (3.1) Use the mass balance (for transient processes) to find the equation for depletion of C₁ (t) as a function of time (t). (3.2) Solve this ordinary differential equation for C₁ at t = 4 minute, using the initial condition: at t=0, C₁ (0) = 0.0284 mol/liter.
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