Question

In: Other

A 10 m3 mixture solution contains molecules A, B and C in water at ambient temperature....

A 10 m³ mixture solution contains molecules A, B and C in water at ambient temperature.

Calculate:

(a) Each species mass concentration.

(b) Their molar concentration.

(c) Total mass concentration and molar concentration.

(d) Mass and mole fraction.

given:

V_mix= 10 m³

m_A= 0.3 kg , m_B= 0.5 kg , m_C= 0.4 kg , m_H2O= 9.8 kg

MW_A= 50 , MW_B= 250 , MW_C= 10 , MW_H2O= 18

Expert Solution

Volume of total mixture = 10m³

Mass of A =0.3 kg

Mass of B = 0.5 kg

Mass of C = 0.4 kg

Mass of water = 9.8 kg

Total mass of the mixture = mass of A + mass of B + mass of C + mass of water

= 0.3 + 0.5 + 0.4 +9.8

= 11 kg

Moles of A = 0.3/50 = 0.006 kg.moles

Moles of B = 0.5/250 = 0.002 kg.moles

Moles of C = 0.4/10 = 0.04 kg.moles

Moles of water = 9.8/18 = 0.544 kg.moles

Total moles present = moles of A + moles of B + moles of C + moles of water

= 0.006 + 0.002 + 0.04 + 0.544

= 0.592 kg.moles

a)

Mass concentration of A = 0.3/10 = 0.03 kg/m³

Mass concentration of B = 0.5/10 = 0.05 kg/m³

Mass concentration of C = 0.4/10 = 0.04 kg/m³

Mass concentration of water = 9.8/10 = 0.98 kg/m³

b)

Mole concentration of A = 0.006/10 = 0.0006 kg.moles/m³

Mole concentration of B = 0.002/10 = 0.0002 kg.moles/m³

Mole concentration of C = 0.04/10 = 0.004 kg.moles/m³

Mole concentration of water = 0.544/10 = 0.0544 kg.moles/m³

c)

Total mole concentration = mole concentration of A + mole concentration of B + mole concentration of C+ mole concentration of water

= 0.006 + 0.002 + 0.004 + 0.0544

= 0.0644 kg.moles/m³

Total mass concentration = mass concentration of A + mass concentration of B + mass concentration of C+ mass concentration of water

= 0.03 + 0.05 + 0.04 + 0.98

= 1.1 kg/m³

d)

Mass fraction of A = 0.3/11 = 0.0273

Mass fraction of B = 0.5/11 = 0.04545

Mass fraction of C = 0.4/11 = 0.03636

Mass fraction of water = 9.8/11 = 0.891

Mole fraction of A = 0.006/0.592 = 0.010135

Mole fraction of B = 0.002/0.592 = 0.003378

Mole fraction of C = 0.04/0.592 = 0.6757

Mole fraction of water = 0.544/0.592 = 0.91892

Amanda K answered 2 years ago

A tank contains a mixture of water and salt, and at all times the solution is...

A tank contains a mixture of water and salt, and at all times the solution is kept will mixed. At time t = 0 there is 10 Liters solution in the tank, with no salt. However, being poured into the tank is a solution containing 2 grams of salt per liter, and it is entering at a rate of 5 liters per minute. Simultaneously we drain our tank at a rate of 3 liters per minute. Find the concentration of...

A solution of brine (water containing NaCl) contains 230 kg/m3 at 293 K.

A solution of brine (water containing NaCl) contains 230 kg/m3 at 293 K. The density of the brine at this temperature is 1.148 g/cm3 . Calculate the following, a. composition in mass fractions b. composition in mole fractions c. volume % of water. Assume the density of water at this temperature is 0.998 g/cm3

A mixture initially contains A, B, and C in the following concentrations: [A] = 0.400M ,...

A mixture initially contains A, B, and C in the following concentrations: [A] = 0.400M , [B] = 0.700M , and [C] = 0.700M . The following reaction occurs and equilibrium is established: A+2B?C At equilibrium, [A] = 0.210M and [C] = 0.890M . Calculate the value of the equilibrium constant, Kc. Express your answer numerically.

Ammonia is initially at a temperature of -10° C and a specific volume of 0.07 m3/kg....

Ammonia is initially at a temperature of -10° C and a specific volume of 0.07 m3/kg. The ammonia undergoes an isobaric expansion to a final specific volume of 0.22 m3/kg. Evaluate the specific work done on the ammonia in kJ/kg and the specific heat transfer to the ammonia in kJ/kg. Neglect changes in kinetic energy and potential energy. Carbon dioxide is contained in a piston-cylinder assembly with an initial pressure and temperature of 8 lbf/in2 and 100° F, respectively. The...

A mixture initially contains A, B, and C in the following concentrations: [A] = 0.300 M...

A mixture initially contains A, B, and C in the following concentrations: [A] = 0.300 M , [B] = 1.30 M , and [C] = 0.400 M . The following reaction occurs and equilibrium is established: A+2B⇌C At equilibrium, [A] = 0.170 M and [C] = 0.530 M . Calculate the value of the equilibrium constant, Kc.

A mixture initially contains A, B, and C in the following concentrations: [A] = 0.700 M...

A mixture initially contains A, B, and C in the following concentrations: [A] = 0.700 M , [B] = 0.700 M , and [C] = 0.550 M . The following reaction occurs and equilibrium is established: A+2B⇌C At equilibrium, [A] = 0.540 M and [C] = 0.710 M . Calculate the value of the equilibrium constant, Kc.

A mixture initially contains A, B, and C in the following concentrations: [A] = 0.400 M...

A mixture initially contains A, B, and C in the following concentrations: [A] = 0.400 M , [B] = 0.650 M , and [C] = 0.450 M . The following reaction occurs and equilibrium is established: A+2B⇌C At equilibrium, [A] = 0.230 M and [C] = 0.620 M . Calculate the value of the equilibrium constant, Kc.

A 500 L rigid tank contains a saturated water mixture at 200 C as shown: the...

A 500 L rigid tank contains a saturated water mixture at 200 C as shown: the mixture is 40% liquid and 60% vapour by volume (State 1). A valve on top of the tank is opened, and saturated vapor is slowly withdrawn from the tank. Heat transfer occurs during this process such that the temperature in the tank remains constant. The valve is closed when 50 % of the initial mass is withdrawn from the tank (State 2) (a) Determine...

Water is a/an _______ a) Element b) Compound c) Pure substance d) Mixture

Water is _______ a) An element b) A compound c) A pure substance d) A mixture

A rigid 10-L vessel initially contains a mixture of liquid water and vapor at 100C with...

A rigid 10-L vessel initially contains a mixture of liquid water and vapor at 100C with 12.3 percent quality. The mixture is then heated until its temperature is 180C. Calculate the heat transfer required for this process.