Question

If 2.1 kg (2100 g) of sodium hydrogencarbonate is heated, calculate the mass of CO2 produced.

Answer 1

To determine the mass of CO2 produced from 2.1 kg of sodium hydrogencarbonate upon heating, we use stoichiometry, which yields 550 grams of CO2.

Step-by-step explanation:

To calculate the mass of CO2 produced when 2.1 kg of sodium hydrogencarbonate (NaHCO3) is heated, we must first write the balanced chemical equation for the decomposition of NaHCO3:

2 NaHCO3(s) → Na2CO3(s) + H2O(g) + CO2(g)

From the balanced equation, we see that 2 moles of NaHCO3 yield 1 mole of CO2. The molar mass of NaHCO3 is approximately 84 g/mol, and that of CO2 is approximately 44 g/mol. To find the mass of CO2 produced from 2100 g of NaHCO3, we follow these steps:

1. Calculate the number of moles of NaHCO3: (2100 g) / (84 g/mol) = 25 moles.
2. Use the stoichiometry from the balanced equation: (25 moles NaHCO3) × (1 mole CO2 / 2 moles NaHCO3) = 12.5 moles CO2.
3. Calculate the mass of CO2 produced: (12.5 moles CO2) × (44 g/mol) = 550 grams of CO2.