Input interpretation
H_2SO_4 sulfuric acid + NaCN sodium cyanide ⟶ Na_2SO_4 sodium sulfate + HCN hydrogen cyanide
Balanced equation
Balance the chemical equation algebraically: H_2SO_4 + NaCN ⟶ Na_2SO_4 + HCN Add stoichiometric coefficients, c_i, to the reactants and products: c_1 H_2SO_4 + c_2 NaCN ⟶ c_3 Na_2SO_4 + c_4 HCN Set the number of atoms in the reactants equal to the number of atoms in the products for H, O, S, C, N and Na: H: | 2 c_1 = c_4 O: | 4 c_1 = 4 c_3 S: | c_1 = c_3 C: | c_2 = c_4 N: | c_2 = c_4 Na: | c_2 = 2 c_3 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 = 2 c_3 = 1 c_4 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | H_2SO_4 + 2 NaCN ⟶ Na_2SO_4 + 2 HCN
Structures
+ ⟶ +
Names
sulfuric acid + sodium cyanide ⟶ sodium sulfate + hydrogen cyanide
Equilibrium constant
Construct the equilibrium constant, K, expression for: H_2SO_4 + NaCN ⟶ Na_2SO_4 + HCN 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: H_2SO_4 + 2 NaCN ⟶ Na_2SO_4 + 2 HCN 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 H_2SO_4 | 1 | -1 NaCN | 2 | -2 Na_2SO_4 | 1 | 1 HCN | 2 | 2 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression H_2SO_4 | 1 | -1 | ([H2SO4])^(-1) NaCN | 2 | -2 | ([NaCN])^(-2) Na_2SO_4 | 1 | 1 | [Na2SO4] HCN | 2 | 2 | ([HCN])^2 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 = ([H2SO4])^(-1) ([NaCN])^(-2) [Na2SO4] ([HCN])^2 = ([Na2SO4] ([HCN])^2)/([H2SO4] ([NaCN])^2)
Rate of reaction
Construct the rate of reaction expression for: H_2SO_4 + NaCN ⟶ Na_2SO_4 + HCN 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: H_2SO_4 + 2 NaCN ⟶ Na_2SO_4 + 2 HCN 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 H_2SO_4 | 1 | -1 NaCN | 2 | -2 Na_2SO_4 | 1 | 1 HCN | 2 | 2 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 H_2SO_4 | 1 | -1 | -(Δ[H2SO4])/(Δt) NaCN | 2 | -2 | -1/2 (Δ[NaCN])/(Δt) Na_2SO_4 | 1 | 1 | (Δ[Na2SO4])/(Δt) HCN | 2 | 2 | 1/2 (Δ[HCN])/(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[H2SO4])/(Δt) = -1/2 (Δ[NaCN])/(Δt) = (Δ[Na2SO4])/(Δt) = 1/2 (Δ[HCN])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
| sulfuric acid | sodium cyanide | sodium sulfate | hydrogen cyanide formula | H_2SO_4 | NaCN | Na_2SO_4 | HCN Hill formula | H_2O_4S | CNNa | Na_2O_4S | CHN name | sulfuric acid | sodium cyanide | sodium sulfate | hydrogen cyanide IUPAC name | sulfuric acid | sodium cyanide | disodium sulfate | formonitrile
Substance properties
| sulfuric acid | sodium cyanide | sodium sulfate | hydrogen cyanide molar mass | 98.07 g/mol | 49.008 g/mol | 142.04 g/mol | 27.026 g/mol phase | liquid (at STP) | solid (at STP) | solid (at STP) | liquid (at STP) melting point | 10.371 °C | 563.7 °C | 884 °C | -13.4 °C boiling point | 279.6 °C | 1496 °C | 1429 °C | 25.6 °C density | 1.8305 g/cm^3 | 1.595 g/cm^3 | 2.68 g/cm^3 | 0.697 g/cm^3 solubility in water | very soluble | | soluble | miscible surface tension | 0.0735 N/m | | | 0.0172 N/m dynamic viscosity | 0.021 Pa s (at 25 °C) | 0.004 Pa s (at 30 °C) | | 1.83×10^-4 Pa s (at 25 °C) odor | odorless | | |
Units