According to the following reaction, how many grams of ethylene (C,H4) are required for the complete reaction of 30.3 grams of hydrogen gas? hydrogen (g) + ethylene (C,H4) (g) ethane (C,H,) grams ethylene (C,H4)

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**Calculating the Required Mass of Ethylene for a Chemical Reaction**

In a chemical reaction, stoichiometry allows us to calculate the amounts of reactants needed or products formed. Here, we need to determine the mass of ethylene (\(C_2H_4\)) required to completely react with a given amount of hydrogen gas.

**Reaction Equation:**
\[ \text{hydrogen} (g) + \text{ethylene} (C_2H_4) (g) \rightarrow \text{ethane} (C_2H_6) (g) \]

**Problem Statement:**
How many grams of ethylene (\(C_2H_4\)) are needed for the complete reaction of 30.3 grams of hydrogen gas?

**Procedure:**
1. **Determine the Molar Mass:**
   - Hydrogen (\(H_2\)): \(2 \times 1.01 \, \text{g/mol} = 2.02 \, \text{g/mol}\)
   - Ethylene (\(C_2H_4\)): \(2 \times 12.01 + 4 \times 1.01 \, \text{g/mol} = 28.05 \, \text{g/mol}\)

2. **Calculate Moles of Hydrogen:**
   \[ \text{Moles of } H_2 = \frac{30.3 \, \text{g}}{2.02 \, \text{g/mol}} \]

3. **Use Stoichiometry:** 
   - The balanced equation indicates the molar ratio between hydrogen and ethylene.
   - Based on the reaction, \(1 \text{ mole of } H_2\) reacts with \(1 \text{ mole of } C_2H_4\).

4. **Calculate Mass of Ethylene:**
   \[ \text{Mass of } C_2H_4 = \text{Moles of } C_2H_4 \times 28.05 \, \text{g/mol} \]

**Calculate and Fill in the Blank:**
\[ \text{grams ethylene} (C_2H_4) \]

This process highlights the fundamental application of stoichiometry in determining the quantities of reactants required for a chemical reaction to proceed completely.

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Transcribed Image Text:--- **Calculating the Required Mass of Ethylene for a Chemical Reaction** In a chemical reaction, stoichiometry allows us to calculate the amounts of reactants needed or products formed. Here, we need to determine the mass of ethylene (\(C_2H_4\)) required to completely react with a given amount of hydrogen gas. **Reaction Equation:** \[ \text{hydrogen} (g) + \text{ethylene} (C_2H_4) (g) \rightarrow \text{ethane} (C_2H_6) (g) \] **Problem Statement:** How many grams of ethylene (\(C_2H_4\)) are needed for the complete reaction of 30.3 grams of hydrogen gas? **Procedure:** 1. **Determine the Molar Mass:** - Hydrogen (\(H_2\)): \(2 \times 1.01 \, \text{g/mol} = 2.02 \, \text{g/mol}\) - Ethylene (\(C_2H_4\)): \(2 \times 12.01 + 4 \times 1.01 \, \text{g/mol} = 28.05 \, \text{g/mol}\) 2. **Calculate Moles of Hydrogen:** \[ \text{Moles of } H_2 = \frac{30.3 \, \text{g}}{2.02 \, \text{g/mol}} \] 3. **Use Stoichiometry:** - The balanced equation indicates the molar ratio between hydrogen and ethylene. - Based on the reaction, \(1 \text{ mole of } H_2\) reacts with \(1 \text{ mole of } C_2H_4\). 4. **Calculate Mass of Ethylene:** \[ \text{Mass of } C_2H_4 = \text{Moles of } C_2H_4 \times 28.05 \, \text{g/mol} \] **Calculate and Fill in the Blank:** \[ \text{grams ethylene} (C_2H_4) \] This process highlights the fundamental application of stoichiometry in determining the quantities of reactants required for a chemical reaction to proceed completely. ---
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