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C + CaO + SnSiO3 = CO + Sn + CaSiO3

Input interpretation

C activated charcoal + CaO lime + SnSiO3 ⟶ CO carbon monoxide + Sn white tin + CaSiO_3 calcium silicate
C activated charcoal + CaO lime + SnSiO3 ⟶ CO carbon monoxide + Sn white tin + CaSiO_3 calcium silicate

Balanced equation

Balance the chemical equation algebraically: C + CaO + SnSiO3 ⟶ CO + Sn + CaSiO_3 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 C + c_2 CaO + c_3 SnSiO3 ⟶ c_4 CO + c_5 Sn + c_6 CaSiO_3 Set the number of atoms in the reactants equal to the number of atoms in the products for C, Ca, O, Sn and Si: C: | c_1 = c_4 Ca: | c_2 = c_6 O: | c_2 + 3 c_3 = c_4 + 3 c_6 Sn: | c_3 = c_5 Si: | c_3 = c_6 Since the coefficients are relative quantities and underdetermined, choose a coefficient to set arbitrarily. To keep the coefficients small, the arbitrary value is ordinarily one. For instance, set c_1 = 1 and solve the system of equations for the remaining coefficients: c_1 = 1 c_2 = 1 c_3 = 1 c_4 = 1 c_5 = 1 c_6 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | C + CaO + SnSiO3 ⟶ CO + Sn + CaSiO_3
Balance the chemical equation algebraically: C + CaO + SnSiO3 ⟶ CO + Sn + CaSiO_3 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 C + c_2 CaO + c_3 SnSiO3 ⟶ c_4 CO + c_5 Sn + c_6 CaSiO_3 Set the number of atoms in the reactants equal to the number of atoms in the products for C, Ca, O, Sn and Si: C: | c_1 = c_4 Ca: | c_2 = c_6 O: | c_2 + 3 c_3 = c_4 + 3 c_6 Sn: | c_3 = c_5 Si: | c_3 = c_6 Since the coefficients are relative quantities and underdetermined, choose a coefficient to set arbitrarily. To keep the coefficients small, the arbitrary value is ordinarily one. For instance, set c_1 = 1 and solve the system of equations for the remaining coefficients: c_1 = 1 c_2 = 1 c_3 = 1 c_4 = 1 c_5 = 1 c_6 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | C + CaO + SnSiO3 ⟶ CO + Sn + CaSiO_3

Structures

+ + SnSiO3 ⟶ + +
+ + SnSiO3 ⟶ + +

Names

activated charcoal + lime + SnSiO3 ⟶ carbon monoxide + white tin + calcium silicate
activated charcoal + lime + SnSiO3 ⟶ carbon monoxide + white tin + calcium silicate

Equilibrium constant

Construct the equilibrium constant, K, expression for: C + CaO + SnSiO3 ⟶ CO + Sn + CaSiO_3 Plan: • Balance the chemical equation. • Determine the stoichiometric numbers. • Assemble the activity expression for each chemical species. • Use the activity expressions to build the equilibrium constant expression. Write the balanced chemical equation: C + CaO + SnSiO3 ⟶ CO + Sn + CaSiO_3 Assign stoichiometric numbers, ν_i, using the stoichiometric coefficients, c_i, from the balanced chemical equation in the following manner: ν_i = -c_i for reactants and ν_i = c_i for products: chemical species | c_i | ν_i C | 1 | -1 CaO | 1 | -1 SnSiO3 | 1 | -1 CO | 1 | 1 Sn | 1 | 1 CaSiO_3 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression C | 1 | -1 | ([C])^(-1) CaO | 1 | -1 | ([CaO])^(-1) SnSiO3 | 1 | -1 | ([SnSiO3])^(-1) CO | 1 | 1 | [CO] Sn | 1 | 1 | [Sn] CaSiO_3 | 1 | 1 | [CaSiO3] The equilibrium constant symbol in the concentration basis is: K_c Mulitply the activity expressions to arrive at the K_c expression: Answer: | | K_c = ([C])^(-1) ([CaO])^(-1) ([SnSiO3])^(-1) [CO] [Sn] [CaSiO3] = ([CO] [Sn] [CaSiO3])/([C] [CaO] [SnSiO3])
Construct the equilibrium constant, K, expression for: C + CaO + SnSiO3 ⟶ CO + Sn + CaSiO_3 Plan: • Balance the chemical equation. • Determine the stoichiometric numbers. • Assemble the activity expression for each chemical species. • Use the activity expressions to build the equilibrium constant expression. Write the balanced chemical equation: C + CaO + SnSiO3 ⟶ CO + Sn + CaSiO_3 Assign stoichiometric numbers, ν_i, using the stoichiometric coefficients, c_i, from the balanced chemical equation in the following manner: ν_i = -c_i for reactants and ν_i = c_i for products: chemical species | c_i | ν_i C | 1 | -1 CaO | 1 | -1 SnSiO3 | 1 | -1 CO | 1 | 1 Sn | 1 | 1 CaSiO_3 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression C | 1 | -1 | ([C])^(-1) CaO | 1 | -1 | ([CaO])^(-1) SnSiO3 | 1 | -1 | ([SnSiO3])^(-1) CO | 1 | 1 | [CO] Sn | 1 | 1 | [Sn] CaSiO_3 | 1 | 1 | [CaSiO3] The equilibrium constant symbol in the concentration basis is: K_c Mulitply the activity expressions to arrive at the K_c expression: Answer: | | K_c = ([C])^(-1) ([CaO])^(-1) ([SnSiO3])^(-1) [CO] [Sn] [CaSiO3] = ([CO] [Sn] [CaSiO3])/([C] [CaO] [SnSiO3])

Rate of reaction

Construct the rate of reaction expression for: C + CaO + SnSiO3 ⟶ CO + Sn + CaSiO_3 Plan: • Balance the chemical equation. • Determine the stoichiometric numbers. • Assemble the rate term for each chemical species. • Write the rate of reaction expression. Write the balanced chemical equation: C + CaO + SnSiO3 ⟶ CO + Sn + CaSiO_3 Assign stoichiometric numbers, ν_i, using the stoichiometric coefficients, c_i, from the balanced chemical equation in the following manner: ν_i = -c_i for reactants and ν_i = c_i for products: chemical species | c_i | ν_i C | 1 | -1 CaO | 1 | -1 SnSiO3 | 1 | -1 CO | 1 | 1 Sn | 1 | 1 CaSiO_3 | 1 | 1 The rate term for each chemical species, B_i, is 1/ν_i(Δ[B_i])/(Δt) where [B_i] is the amount concentration and t is time: chemical species | c_i | ν_i | rate term C | 1 | -1 | -(Δ[C])/(Δt) CaO | 1 | -1 | -(Δ[CaO])/(Δt) SnSiO3 | 1 | -1 | -(Δ[SnSiO3])/(Δt) CO | 1 | 1 | (Δ[CO])/(Δt) Sn | 1 | 1 | (Δ[Sn])/(Δt) CaSiO_3 | 1 | 1 | (Δ[CaSiO3])/(Δt) (for infinitesimal rate of change, replace Δ with d) Set the rate terms equal to each other to arrive at the rate expression: Answer: | | rate = -(Δ[C])/(Δt) = -(Δ[CaO])/(Δt) = -(Δ[SnSiO3])/(Δt) = (Δ[CO])/(Δt) = (Δ[Sn])/(Δt) = (Δ[CaSiO3])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Construct the rate of reaction expression for: C + CaO + SnSiO3 ⟶ CO + Sn + CaSiO_3 Plan: • Balance the chemical equation. • Determine the stoichiometric numbers. • Assemble the rate term for each chemical species. • Write the rate of reaction expression. Write the balanced chemical equation: C + CaO + SnSiO3 ⟶ CO + Sn + CaSiO_3 Assign stoichiometric numbers, ν_i, using the stoichiometric coefficients, c_i, from the balanced chemical equation in the following manner: ν_i = -c_i for reactants and ν_i = c_i for products: chemical species | c_i | ν_i C | 1 | -1 CaO | 1 | -1 SnSiO3 | 1 | -1 CO | 1 | 1 Sn | 1 | 1 CaSiO_3 | 1 | 1 The rate term for each chemical species, B_i, is 1/ν_i(Δ[B_i])/(Δt) where [B_i] is the amount concentration and t is time: chemical species | c_i | ν_i | rate term C | 1 | -1 | -(Δ[C])/(Δt) CaO | 1 | -1 | -(Δ[CaO])/(Δt) SnSiO3 | 1 | -1 | -(Δ[SnSiO3])/(Δt) CO | 1 | 1 | (Δ[CO])/(Δt) Sn | 1 | 1 | (Δ[Sn])/(Δt) CaSiO_3 | 1 | 1 | (Δ[CaSiO3])/(Δt) (for infinitesimal rate of change, replace Δ with d) Set the rate terms equal to each other to arrive at the rate expression: Answer: | | rate = -(Δ[C])/(Δt) = -(Δ[CaO])/(Δt) = -(Δ[SnSiO3])/(Δt) = (Δ[CO])/(Δt) = (Δ[Sn])/(Δt) = (Δ[CaSiO3])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

Chemical names and formulas

| activated charcoal | lime | SnSiO3 | carbon monoxide | white tin | calcium silicate formula | C | CaO | SnSiO3 | CO | Sn | CaSiO_3 Hill formula | C | CaO | O3SiSn | CO | Sn | CaO_3Si name | activated charcoal | lime | | carbon monoxide | white tin | calcium silicate IUPAC name | carbon | | | carbon monoxide | tin | calcium dioxido-oxosilane
| activated charcoal | lime | SnSiO3 | carbon monoxide | white tin | calcium silicate formula | C | CaO | SnSiO3 | CO | Sn | CaSiO_3 Hill formula | C | CaO | O3SiSn | CO | Sn | CaO_3Si name | activated charcoal | lime | | carbon monoxide | white tin | calcium silicate IUPAC name | carbon | | | carbon monoxide | tin | calcium dioxido-oxosilane

Substance properties

| activated charcoal | lime | SnSiO3 | carbon monoxide | white tin | calcium silicate molar mass | 12.011 g/mol | 56.077 g/mol | 194.79 g/mol | 28.01 g/mol | 118.71 g/mol | 116.16 g/mol phase | solid (at STP) | solid (at STP) | | gas (at STP) | solid (at STP) | melting point | 3550 °C | 2580 °C | | -205 °C | 231.9 °C | boiling point | 4027 °C | 2850 °C | | -191.5 °C | 2602 °C | density | 2.26 g/cm^3 | 3.3 g/cm^3 | | 0.001145 g/cm^3 (at 25 °C) | 7.31 g/cm^3 | solubility in water | insoluble | reacts | | | insoluble | dynamic viscosity | | | | 1.772×10^-5 Pa s (at 25 °C) | 0.001 Pa s (at 600 °C) | odor | | | | odorless | odorless |
| activated charcoal | lime | SnSiO3 | carbon monoxide | white tin | calcium silicate molar mass | 12.011 g/mol | 56.077 g/mol | 194.79 g/mol | 28.01 g/mol | 118.71 g/mol | 116.16 g/mol phase | solid (at STP) | solid (at STP) | | gas (at STP) | solid (at STP) | melting point | 3550 °C | 2580 °C | | -205 °C | 231.9 °C | boiling point | 4027 °C | 2850 °C | | -191.5 °C | 2602 °C | density | 2.26 g/cm^3 | 3.3 g/cm^3 | | 0.001145 g/cm^3 (at 25 °C) | 7.31 g/cm^3 | solubility in water | insoluble | reacts | | | insoluble | dynamic viscosity | | | | 1.772×10^-5 Pa s (at 25 °C) | 0.001 Pa s (at 600 °C) | odor | | | | odorless | odorless |

Units

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