Input interpretation
![P red phosphorus + Ba barium ⟶ BaP](../image_source/c8cbb4e03ab0102318b23f0eeab3b33f.png)
P red phosphorus + Ba barium ⟶ BaP
Balanced equation
![Balance the chemical equation algebraically: P + Ba ⟶ BaP Add stoichiometric coefficients, c_i, to the reactants and products: c_1 P + c_2 Ba ⟶ c_3 BaP Set the number of atoms in the reactants equal to the number of atoms in the products for P and Ba: P: | c_1 = c_3 Ba: | c_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 = 1 c_3 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | P + Ba ⟶ BaP](../image_source/979584e0f0c7fd0626591ae557bbabf5.png)
Balance the chemical equation algebraically: P + Ba ⟶ BaP Add stoichiometric coefficients, c_i, to the reactants and products: c_1 P + c_2 Ba ⟶ c_3 BaP Set the number of atoms in the reactants equal to the number of atoms in the products for P and Ba: P: | c_1 = c_3 Ba: | c_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 = 1 c_3 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | P + Ba ⟶ BaP
Structures
![+ ⟶ BaP](../image_source/abc17daa926bdbf34b6113b1cedce9b6.png)
+ ⟶ BaP
Names
![red phosphorus + barium ⟶ BaP](../image_source/3268ecd763cb25411eaf465a384b50ca.png)
red phosphorus + barium ⟶ BaP
Equilibrium constant
![Construct the equilibrium constant, K, expression for: P + Ba ⟶ BaP 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: P + Ba ⟶ BaP 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 P | 1 | -1 Ba | 1 | -1 BaP | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression P | 1 | -1 | ([P])^(-1) Ba | 1 | -1 | ([Ba])^(-1) BaP | 1 | 1 | [BaP] 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 = ([P])^(-1) ([Ba])^(-1) [BaP] = ([BaP])/([P] [Ba])](../image_source/0cecea952250166445dd41783228b1bc.png)
Construct the equilibrium constant, K, expression for: P + Ba ⟶ BaP 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: P + Ba ⟶ BaP 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 P | 1 | -1 Ba | 1 | -1 BaP | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression P | 1 | -1 | ([P])^(-1) Ba | 1 | -1 | ([Ba])^(-1) BaP | 1 | 1 | [BaP] 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 = ([P])^(-1) ([Ba])^(-1) [BaP] = ([BaP])/([P] [Ba])
Rate of reaction
![Construct the rate of reaction expression for: P + Ba ⟶ BaP 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: P + Ba ⟶ BaP 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 P | 1 | -1 Ba | 1 | -1 BaP | 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 P | 1 | -1 | -(Δ[P])/(Δt) Ba | 1 | -1 | -(Δ[Ba])/(Δt) BaP | 1 | 1 | (Δ[BaP])/(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[P])/(Δt) = -(Δ[Ba])/(Δt) = (Δ[BaP])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)](../image_source/5897fda37408310c8032b08c9501ccc8.png)
Construct the rate of reaction expression for: P + Ba ⟶ BaP 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: P + Ba ⟶ BaP 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 P | 1 | -1 Ba | 1 | -1 BaP | 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 P | 1 | -1 | -(Δ[P])/(Δt) Ba | 1 | -1 | -(Δ[Ba])/(Δt) BaP | 1 | 1 | (Δ[BaP])/(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[P])/(Δt) = -(Δ[Ba])/(Δt) = (Δ[BaP])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
![| red phosphorus | barium | BaP formula | P | Ba | BaP name | red phosphorus | barium | IUPAC name | phosphorus | barium |](../image_source/d0ad5062b2c3d95d7cddef664fcdba6e.png)
| red phosphorus | barium | BaP formula | P | Ba | BaP name | red phosphorus | barium | IUPAC name | phosphorus | barium |
Substance properties
![| red phosphorus | barium | BaP molar mass | 30.973761998 g/mol | 137.327 g/mol | 168.301 g/mol phase | solid (at STP) | solid (at STP) | melting point | 579.2 °C | 725 °C | boiling point | | 1640 °C | density | 2.16 g/cm^3 | 3.6 g/cm^3 | solubility in water | insoluble | insoluble | surface tension | | 0.224 N/m | dynamic viscosity | 7.6×10^-4 Pa s (at 20.2 °C) | |](../image_source/50a75db4ed13d962113105934c0dfbce.png)
| red phosphorus | barium | BaP molar mass | 30.973761998 g/mol | 137.327 g/mol | 168.301 g/mol phase | solid (at STP) | solid (at STP) | melting point | 579.2 °C | 725 °C | boiling point | | 1640 °C | density | 2.16 g/cm^3 | 3.6 g/cm^3 | solubility in water | insoluble | insoluble | surface tension | | 0.224 N/m | dynamic viscosity | 7.6×10^-4 Pa s (at 20.2 °C) | |
Units