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The student uses 3g of sodium hydrogen carbonate and 25cm^3 of citric acid.They record the initial tem perature as 25^circ C and the fina II temp erature as 18^circ C Calculate the energ y taken in from the C surr oundings using the equation below. Energy chonge (I)=Volume of solution (cm^3)times 4.2times Change in temperature (^circ C) 1 Change in tem perature The change in tem perature is tem perature - initial tem perature Change in temperature=^circ C- {}^circ C Change in temperature=^circ C

Question

The student uses 3g of sodium hydrogen carbonate and 25cm^3 of citric acid.They record the initial tem perature as 25^circ C and the fina II temp erature as 18^circ C Calculate the energ y taken in from the C surr oundings using the equation below. Energy chonge (I)=Volume of solution (cm^3)times 4.2times Change in temperature (^circ C) 1 Change in tem perature The change in tem perature is tem perature - initial tem perature Change in temperature=^circ C- {}^circ C Change in temperature=^circ C

The student uses 3g of sodium hydrogen carbonate and 25cm^3 of citric acid.They record the initial tem perature as 25^circ C and the fina II temp erature as 18^circ C Calculate the energ y taken in from the C surr oundings using the equation below. Energy chonge (I)=Volume of solution (cm^3)times 4.2times Change in temperature (^circ C) 1 Change in tem perature The change in tem perature is tem perature - initial tem perature Change in temperature=^circ C- {}^circ C Change in temperature=^circ C

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NorrisMaster · Tutor for 5 years

Answer

## Step1: <br />Change in temperature = Final temperature - Initial temperature = \(18^{\circ} \mathrm{C} - 25^{\circ} \mathrm{C} = -7^{\circ} \mathrm{C}\)<br /><br />## Step2: <br />Energy change (J) = Volume of solution (cm^3) x 4.2 x Change in temperature (°C) = \(25 \mathrm{cm}^{3} \times 4.2 \times -7^{\circ} \mathrm{C} = -735 \mathrm{J}\)<br /><br />The energy taken in from the surroundings is -735 J.

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## Step1: <br />First, we need to calculate the change in temperature. The change in temperature is calculated by subtracting the initial temperature from the final temperature. <br /><br />### The formula for the change in temperature is: <br />### **Change in temperature = Final temperature - Initial temperature**<br /><br />## Step2: <br />Next, we need to substitute the given values into the formula. The final temperature is given as \(18^{\circ} \mathrm{C}\) and the initial temperature is given as \(25^{\circ} \mathrm{C}\).<br /><br />## Step3: <br />After substituting the values, we calculate the change in temperature.<br /><br />## Step4: <br />Now, we need to calculate the energy taken in from the surroundings using the given formula.<br /><br />### The formula for energy change is: <br />### **Energy change (J) = Volume of solution (cm^3) x 4.2 x Change in temperature (°C)**<br /><br />## Step5: <br />Substitute the given values into the formula. The volume of the solution is given as \(25 \mathrm{cm}^{3}\) and the change in temperature is calculated in the previous step.<br /><br />## Step6: <br />After substitifying the values, we calculate the energy change.
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