Please help me with question #2:

How do you determine if there is a linear relationship between NaCO3 used and CO2 produced?Discuss your results in terms of moles.
Thank you!!

Question #1 :
1. Record the amount of CO2 produced versus the amount of Na2CO3 used.

Answer :

1.The amount of CO2 produced versus the amount of Na2CO3 used:

Amount of Na2CO3 used (g). vs. Amount of CO2 produced (mL)
1 g 20.28 -20.28 = 0.00mL
2 g 20.55 -20.53 = 0.02mL
4 g 20.95 -20.84 = 0.11mL
6 g 21.29 -21.14 = 0.15mL
8 g 22.16 -22.01 = 0.15mL
10 g 23.14 -22.90 = 0.24mL
12 g 23.96 -23.69 = 0.27mL

Question #2 :
Discuss your results in terms of moles. Is there a linear relationship between the amoung of Na2CO3 used and the amount of CO2 produced?

Graphs :
1.
Na2CO3 g/mol Used00.010.020.030.040.050.060.070.080.090.10.1100.5E-30.0010.0020.0020.0030.0030.0040.0040.0050.0050.0060.006

To determine if there is a linear relationship between the amount of Na2CO3 used and the amount of CO2 produced, we need to analyze the data in terms of moles.

To do this, we need to convert the mass of Na2CO3 used into moles. The molar mass of Na2CO3 (sodium carbonate) is 105.988 g/mol.

Let's calculate the moles of Na2CO3 used for each measurement:

- For 1 g of Na2CO3: moles = 1 g / 105.988 g/mol = 0.0094 mol
- For 2 g of Na2CO3: moles = 2 g / 105.988 g/mol = 0.0189 mol
- For 4 g of Na2CO3: moles = 4 g / 105.988 g/mol = 0.0378 mol
- For 6 g of Na2CO3: moles = 6 g / 105.988 g/mol = 0.0567 mol
- For 8 g of Na2CO3: moles = 8 g / 105.988 g/mol = 0.0757 mol
- For 10 g of Na2CO3: moles = 10 g / 105.988 g/mol = 0.0946 mol
- For 12 g of Na2CO3: moles = 12 g / 105.988 g/mol = 0.1135 mol

Next, let's examine the amount of CO2 produced (in mL) for each measurement:

- For 1 g of Na2CO3: CO2 produced = 0.00 mL
- For 2 g of Na2CO3: CO2 produced = 0.02 mL
- For 4 g of Na2CO3: CO2 produced = 0.11 mL
- For 6 g of Na2CO3: CO2 produced = 0.15 mL
- For 8 g of Na2CO3: CO2 produced = 0.15 mL
- For 10 g of Na2CO3: CO2 produced = 0.24 mL
- For 12 g of Na2CO3: CO2 produced = 0.27 mL

Now, let's plot the data on a graph with moles of Na2CO3 used on the x-axis and CO2 produced (in mL) on the y-axis.

Based on the given data and the graph, we can analyze if there is a linear relationship between the amount of Na2CO3 used and the amount of CO2 produced. If the graph shows a straight line, it indicates a linear relationship. If the graph is curved, it suggests a non-linear relationship.

To further evaluate the relationship, we can perform a regression analysis on the data points to calculate the correlation coefficient (r-value). If the r-value is close to 1 or -1, it indicates a strong linear relationship; if it is close to 0, it suggests a weak or no relationship.

In conclusion, to determine if there is a linear relationship between the amount of Na2CO3 used and the amount of CO2 produced, we need to convert the mass of Na2CO3 used into moles and plot the data on a graph. Additionally, performing a regression analysis and calculating the correlation coefficient can provide further insights into the strength of the linear relationship.