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(b) the student investigated the temperature change when different masses of sodium carbonate were added to 50 mathrm(~cm)^3 of water

Question

(b) The student investigated the temperature change when different masses of sodium carbonate were added to 50 mathrm(~cm)^3 of water at 20^circ mathrm(C) . Table 2 below shows the results. Table 2 }(l) Mass of sodium carbonate in mathrm(g) & Final temperature of solution in ( )^circ mathrm(C) 2.0 & 21.5 4.0 & 23.0 6.0 & 24.5 8.0 & 26.0 10.0 & 26.6 12.0 & 26.6 14.0 & 26.6 Describe the relationship between the mass of sodium carbonate added and the final temperature of the solution. Use values from Table 2 in your answer. (3mar

Answer

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Answer

The relationship between the mass of sodium carbonate added and the final temperature of the solution is that as the mass of sodium carbonate increases from 2.0g to 10.0g, the final temperature of the solution also increases from 21.5°C to 26.6°C. However, when the mass of sodium carbonate exceeds 10.0g, the final temperature of the solution remains constant at 26.6°C, indicating that the solution has reached its maximum temperature capacity.

Explanation

## Step 1: The first step in solving this problem is to analyze the data provided in the table. The table shows the mass of sodium carbonate added and the corresponding final temperature of the solution.## Step 2: The next step is to identify the relationship between the mass of sodium carbonate added and the final temperature of the solution. ## Step 3: From the data, we can observe that as the mass of sodium carbonate increases, the final temperature of the solution also increases up to a certain point. This is evident from the increase in temperature from 21.5°C to 26.6°C as the mass of sodium carbonate increases from 2.0g to 10.0g.## Step 4: However, after 10.0g of sodium carbonate, the final temperature of the solution remains constant at 26.6°C, even as more sodium carbonate is added. This suggests that the solution has reached its maximum temperature capacity at this point, and adding more sodium carbonate does not cause any further increase in temperature.### The relationship can be expressed as: ### For , , where is the mass of sodium carbonate in grams, and is the final temperature in Celsius.### For , .