Trial 1 15.48009 15.78579 Mass of empty crucible Mass of crucible with Mg Observations of reaction and product: It began to light up a bright orange and in to an ashy substanca. 15.85319 Mass of crucible and product Trial 2 14.58089 14.70532 after cooling turard 14.7860

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Calculate the theoretical yield (in grams) of magneisum oxide in this experiment.

**Determination of the Empirical Formula of Magnesium Oxide**

**Data Table 1: Empirical Formula of Magnesium Oxide**

|                   | Trial 1    | Trial 2    |
|-------------------|------------|------------|
| Mass of empty crucible        | 15.6800 g | 16.5808 g |
| Mass of crucible with Mg      | 15.7857 g | 16.7053 g |
| Observations of reaction and product | It began to light up, a bright orange and after cooling turned into an ashy substance. |
| Mass of crucible and product  | 15.8531 g | 16.7960 g |

**Questions and Calculations: SHOW WORK on all calculations.**

1. **Calculate the mass of magnesium used in this experiment.**

   - **Trial 1:**  
     \( 15.7857 \, \text{g} - 15.6800 \, \text{g} = 0.1057 \, \text{g} \)

   - **Trial 2:**  
     \( 16.7053 \, \text{g} - 16.5808 \, \text{g} = 0.1245 \, \text{g} \)

2. **Calculate the mass of product made in this experiment.**

   - **Trial 1:**  
     \( 15.8531 \, \text{g} - 15.6800 \, \text{g} = 0.1731 \, \text{g} \)

   - **Trial 2:**  
     \( 16.7960 \, \text{g} - 16.5808 \, \text{g} = 0.2152 \, \text{g} \)

***It is vital to calculate these values correctly, or the remaining calculations will all be incorrect. Feel free to check with the instructor here before continuing with the remaining calculations.***
Transcribed Image Text:**Determination of the Empirical Formula of Magnesium Oxide** **Data Table 1: Empirical Formula of Magnesium Oxide** | | Trial 1 | Trial 2 | |-------------------|------------|------------| | Mass of empty crucible | 15.6800 g | 16.5808 g | | Mass of crucible with Mg | 15.7857 g | 16.7053 g | | Observations of reaction and product | It began to light up, a bright orange and after cooling turned into an ashy substance. | | Mass of crucible and product | 15.8531 g | 16.7960 g | **Questions and Calculations: SHOW WORK on all calculations.** 1. **Calculate the mass of magnesium used in this experiment.** - **Trial 1:** \( 15.7857 \, \text{g} - 15.6800 \, \text{g} = 0.1057 \, \text{g} \) - **Trial 2:** \( 16.7053 \, \text{g} - 16.5808 \, \text{g} = 0.1245 \, \text{g} \) 2. **Calculate the mass of product made in this experiment.** - **Trial 1:** \( 15.8531 \, \text{g} - 15.6800 \, \text{g} = 0.1731 \, \text{g} \) - **Trial 2:** \( 16.7960 \, \text{g} - 16.5808 \, \text{g} = 0.2152 \, \text{g} \) ***It is vital to calculate these values correctly, or the remaining calculations will all be incorrect. Feel free to check with the instructor here before continuing with the remaining calculations.***
Expert Solution
Step 1

Here the reaction of the experiment is ..........    2 Mg + O2 2 MgO ........ (1)

Here we have to calculate the theoretical yield of MgO in gram for this reaction.

Theoretical yield means the mass of MgO formed if 100% reaction would occur.

Now we will calculate theoretical yield of MgO in both the trials.

 

 

In trial 1 .... 

Mass of empty crucible = 15.6800 g

Mass of crucible with magnesium = 15.7857 g

So, mass of Mg = (15.7857- 15.6800) g = 0.1057 g

Mass of product with crucible = 15.8531 g

Therefore, mass of product(MgO) = (15.8531- 15.6800) g = 0.1731 g

So, no of moles of reactant (Mg) = 0.1057/ 24.305 = 4.34889 X 10-3 moles4.35X 10-3 moles    [Molar mass of Mg = 24.305 g/mole]

 

From (1)

From 2 moles of Mg , 2 moles of MgO is formed. 

So, from 4.35X 10-3 moles of Mg = 4.35X 10-3 moles of MgO formed.     

Therefore, Theoretical yield of MgO = 4.35X 10-3 X 40.30 = 0.1753 g.           [ Molar mass of MgO = 40.30g/mole]

 

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