Question

2. If a student drops a 2.3 g piece of magnesium into a flask of hydrochloric acid, this reaction occurs: Mg + 2HCl MgCl2 + H2

Answer 1

1.2 L of hydrogen can be produced at a pressure of 2 atm and a temperature of 298 K.

What is an ideal gas equation?

The ideal gas law (PV = nRT) relates the macroscopic properties of ideal gases. An ideal gas is a gas in which the particles (a) do not attract or repel one another and (b) take up no space (have no volume).

Step 1: Write the balanced equation

Mg + 2 HCl ⇒ MgCl₂ + H₂

Step 2: Calculate the moles corresponding to 2.3 g of Mg

The molar mass of Mg is 24.31 g/mol.

2.3 g × 1 mol ÷24.31 g = 0.095 mol

Step 3: Calculate the moles of H₂ produced

0.095 mol Mg × 1 mol H₂ ÷ 1 mol Mg = 0.095 mol H₂

Step 4: Calculate the volume occupied by the hydrogen

We will use the ideal gas equation.

P × V = n × R × T

V = n × R × T÷P

V = 0.095 mol × (0.0821 atm.L/mol.K) × 298 K÷2 atm

V =  1.2 L

Learn more about the ideal gas here:

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