Calculate the number of moles in 50 kg of ammonium sulfate (NH4)2 SO4 (with the steps please)
ammonium sulfate {nh4}2so4
50 kg =50000g
mass of [ nh4]2so4
=132
n=378.7878
To calculate the number of moles in 50 kg of ammonium sulfate, we need to follow these steps:
1. Convert the mass of ammonium sulfate from kg to g:
50 kg x 1000 g/kg = 50,000 g
2. Find the molar mass of ammonium sulfate by adding up the atomic masses of all the elements in the compound:
Molar mass of (NH4)2SO4 = 2(N) + 8(H) + S + 4(O)
= 2(14.01 g/mol) + 8(1.01 g/mol) + 32.06 g/mol + 4(16.00 g/mol)
= 132.14 g/mol
3. Calculate the number of moles of ammonium sulfate using the formula:
moles = grams / molar mass
moles = 50,000 g / 132.14 g/mol
moles = 378.79 mol
Therefore, there are 378.79 moles of ammonium sulfate in 50 kg of (NH4)2SO4.
mols = grams/molar mass
To calculate the number of moles in 50 kg of ammonium sulfate ((NH4)2SO4), we need to follow these steps:
Step 1: Determine the molar mass of ammonium sulfate.
The molar mass of any compound is the mass of one mole of that compound. To obtain the molar mass, we sum up the atomic masses of each element in the chemical formula (NH4)2SO4.
H = 1.00784 g/mol
N = 14.0067 g/mol
S = 32.06 g/mol
O = 15.999 g/mol
(NH4)2SO4 molar mass = (2 * (1.00784 * 4 + 14.0067)) + 32.06 + (4 * 15.999) = 132.139 g/mol
Step 2: Convert the mass to grams.
Given that we have 50 kg of ammonium sulfate, we need to convert it to grams because molar mass is expressed in grams per mole. There are 1000 grams in one kilogram.
50 kg * 1000 g/kg = 50,000 g
Step 3: Calculate the number of moles using the formula:
Number of moles = mass (in grams) / molar mass
Number of moles = 50,000 g / 132.139 g/mol ≈ 378.6 moles
Therefore, there are approximately 378.6 moles in 50 kg of ammonium sulfate ((NH4)2SO4).