What mass of Gallium chloride is formed by the reaction of 2.6 L of a 1.44 M solution of HCl according to the following equation:
2Ga+ 6HCl= 2GaCl3+3H2
To find the mass of Gallium chloride formed, you need to determine the number of moles of GaCl3 produced using the stoichiometry of the balanced chemical equation and then convert it to mass using the molar mass of GaCl3.
Step 1: Calculate the number of moles of HCl using the given volume and molarity.
To find the number of moles, use the formula: moles = volume (L) × concentration (M).
moles of HCl = 2.6 L × 1.44 M
moles of HCl = 3.744 moles HCl
Step 2: Use the stoichiometry of the balanced equation to determine the number of moles of GaCl3 produced. According to the balanced equation, 6 moles of HCl react with 2 moles of GaCl3.
Thus, the number of moles of GaCl3 produced is equal to 1/3 of the moles of HCl.
moles of GaCl3 = (1/3) × moles of HCl
moles of GaCl3 = (1/3) × 3.744
moles of GaCl3 = 1.248 moles GaCl3
Step 3: Calculate the molar mass of GaCl3.
The molar mass of GaCl3 can be obtained by adding the atomic masses of gallium (Ga) and chlorine (Cl).
Ga = 69.72 g/mol
Cl = 35.45 g/mol (x3 since there are three chlorine atoms in GaCl3)
Molar mass of GaCl3 = (69.72 g/mol) + (35.45 g/mol × 3)
Molar mass of GaCl3 = 69.72 g/mol + 106.35 g/mol
Molar mass of GaCl3 = 175.07 g/mol
Step 4: Calculate the mass of GaCl3 produced.
The mass can be calculated using the formula: mass = moles × molar mass.
mass of GaCl3 = moles of GaCl3 × molar mass of GaCl3
mass of GaCl3 = 1.248 moles × 175.07 g/mol
mass of GaCl3 = 218.33 g
Therefore, approximately 218.33 grams of Gallium chloride is formed by the reaction.