Question

Помогите решить!!!!!!!!! В результате обработки стальных опилок массой 9,375 г собрали оксид углерода(iv) объемом 280 мл. определите массовую долю углерода в стали.

Answer 1

Calculation of the Mass Fraction of Carbon in Steel

To determine the mass fraction of carbon in steel, we need to use the information provided about the mass of steel filings and the volume of carbon dioxide produced during their processing.

Given: - Mass of steel filings = 9.375 g - Volume of carbon dioxide produced = 280 mL

To calculate the mass fraction of carbon, we can use the following steps:

1. Convert the volume of carbon dioxide from milliliters to grams using the density of carbon dioxide. 2. Calculate the molar amount of carbon dioxide produced. 3. Determine the molar ratio between carbon dioxide and carbon. 4. Calculate the molar amount of carbon. 5. Calculate the mass of carbon. 6. Calculate the mass fraction of carbon.

Let's go through each step in detail.

Step 1: Convert Volume of Carbon Dioxide to Grams

To convert the volume of carbon dioxide from milliliters to grams, we need to use the density of carbon dioxide. Unfortunately, the density is not provided in the given information. However, we can use the approximate density of carbon dioxide at room temperature and pressure, which is 1.98 g/L.

Using this density, we can calculate the mass of carbon dioxide as follows:

Mass of carbon dioxide = Volume of carbon dioxide × Density of carbon dioxide

Converting the volume from milliliters to liters:

Volume of carbon dioxide = 280 mL ÷ 1000 = 0.280 L

Substituting the values into the formula:

Mass of carbon dioxide = 0.280 L × 1.98 g/L

Calculating the mass of carbon dioxide:

Mass of carbon dioxide = 0.280 L × 1.98 g/L = 0.5544 g

Step 2: Calculate the Molar Amount of Carbon Dioxide

To calculate the molar amount of carbon dioxide, we need to use the molar mass of carbon dioxide, which is 44.01 g/mol.

Using the formula:

Molar amount of carbon dioxide = Mass of carbon dioxide ÷ Molar mass of carbon dioxide

Substituting the values into the formula:

Molar amount of carbon dioxide = 0.5544 g ÷ 44.01 g/mol

Calculating the molar amount of carbon dioxide:

Molar amount of carbon dioxide = 0.0126 mol

Step 3: Determine the Molar Ratio Between Carbon Dioxide and Carbon

The balanced chemical equation for the combustion of carbon in oxygen to produce carbon dioxide is:

C + O2 → CO2

From the equation, we can see that the molar ratio between carbon dioxide and carbon is 1:1.

Step 4: Calculate the Molar Amount of Carbon

Since the molar ratio between carbon dioxide and carbon is 1:1, the molar amount of carbon is the same as the molar amount of carbon dioxide.

Molar amount of carbon = Molar amount of carbon dioxide = 0.0126 mol

Step 5: Calculate the Mass of Carbon

To calculate the mass of carbon, we need to use the molar mass of carbon, which is 12.01 g/mol.

Using the formula:

Mass of carbon = Molar amount of carbon × Molar mass of carbon

Substituting the values into the formula:

Mass of carbon = 0.0126 mol × 12.01 g/mol

Calculating the mass of carbon:

Mass of carbon = 0.151 g

Step 6: Calculate the Mass Fraction of Carbon

To calculate the mass fraction of carbon, we need to divide the mass of carbon by the mass of steel filings and multiply by 100%.

Using the formula:

Mass fraction of carbon = (Mass of carbon ÷ Mass of steel filings) × 100%

Substituting the values into the formula:

Mass fraction of carbon = (0.151 g ÷ 9.375 g) × 100%

Calculating the mass fraction of carbon:

Mass fraction of carbon = 1.61%

Therefore, the mass fraction of carbon in the steel is approximately 1.61%.

Please note that the given information does not provide the density of carbon dioxide, so we had to use an approximate value. The calculated mass fraction of carbon is an approximation and may not be entirely accurate due to this limitation.