Hydrogen produced from a hydrolysis reaction was collected over water and the following data was compiled.

Total Volume of H2(g)- 93.90ml Temp-28 Celcius Barometric Pressure- 744mmHg Vapor Pressure of water at 28C-28.5mmHg
Calculate the moles of hydrogen gas produced by the reaction.

Respuesta :

Answer:

  • 0.00358 mol

Explanation:

1) Data:

a) V = 93.90 ml

b) T = 28°C

c) P₁ = 744 mmHg

d) P₂ = 28.25 mmHg

d) n = ?

2) Conversion of units

a) V = 93.90 ml × 1.000 liter / 1,000 ml = 0.09390 liter

b) T = 28°C = 28 + 273.15 K = 301.15 K

c) P₁ = 744 mmHg × 1 atm / 760 mmHg = 0.9789 atm

d) P₂ = 28.5 mmHg × 1 atm / 760 mmHg = 0.0375 atm

3) Chemical principles and formulae

a) The total pressure of a mixture of gases is equal to the sum of the partial pressures of each gas. Hence, the partical pressure of the hydrogen gas collected is equal to the total pressure less the vapor pressure of water.

b) Ideal gas equation: pV = nRT

4) Solution:

a) Partial pressure of hydrogen gas: 0.9789 atm - 0.0375 atm = 0.9414 atm

b) Moles of hygrogen gas:

pV = nRT ⇒ n = pV / (RT) =

n =  (0.9414 atm × 0.09390 liter) / (0.0821 atm-liter /K-mol × 301.15K) =

n = 0.00358 mol (which is rounded to 3 significant figures) ← answer

Note:  V = 93.90 ml = 0.09390 liters

           T = 28 ° C = 301.15 K

          P₁ = 744 mmHg = 0.9789 atm

          P₂ = 28.25 mmHg = 0.0375 atm

Asked: n =?

Answer: Ideal gas equation: pV = nRT

  pV = nRT

    n = pV / (RT)

    n = (0.9414 atm × 0.09390 liters) / (0.0821 atm-liters / K-mol × 301.15K)

    n = 0.00358 mol

So, the mole of hydrogen gas produced by the reaction is 0.00358 mole.

Further Explanation

The amount of a substance is a physical quantity that measures the number of elementary elements that can be in the form of electrons, atoms, ions, molecules, or certain particles. The SI unit for the amount of this substance is the mole which is defined as the number of atoms in the carbon-12 element weighing 12 g. 1 mole has 6.0221415 × 1023 atoms of measured pure material, often known as Avogadro's number.

Mol could be a unit of measurement within the International Unit System (SI) for the number of drugs. This unit is defined because of the number of chemicals containing the number of representative particles, as an example, atoms, molecules, ions, electrons, or photons, which is like the number of atoms in 12 grams of carbon-12 (12C), carbon isotopes with definitive standard mass 12. Number this is expressed as an Avogadro number, with an approach value of 6.022140857 × 1023 mol − 1. Moles are one of the basic units of SI and are denoted by moles. Moles are widely used in chemistry as an easy way to express the number of reactants and products in chemical reactions. The number of molecules per mole known as Avogadro's number, and is defined as the mass of one mole of a substance, expressed in grams, is equal to the average relative molecular mass of a substance.

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Grade: High School

Subject: Chemistry

keywords: Mol