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The student added 1.0 mathrm(~g) of magnesium to 50 mathrm(~cm)^3 of zinc sulfate solution and measured the temperature increase. The student repeated the experiment two more times. The table below shows the results. multicolumn(4)(|c|)( Temperature increase in ( )^circ mathrm(C) ) Experiment 1 & Experiment 2 & Experiment 3 & Mean 7.6 & 7.3 & 7.6 & Y (c) Calculate value Y in the table. [ Y= ] ( )^circ mathrm(C) (2)

Question

The student added 1.0 mathrm(~g) of magnesium to 50 mathrm(~cm)^3 of zinc sulfate solution and measured the temperature increase.
The student repeated the experiment two more times.
The table below shows the results.

 multicolumn(4)(|c|)( Temperature increase in ( )^circ mathrm(C) ) 
 Experiment 1 & Experiment 2 & Experiment 3 & Mean 
 7.6 & 7.3 & 7.6 & Y 


(c) Calculate value Y in the table.
[
Y=
]
 ( )^circ mathrm(C) 
(2)

The student added 1.0 mathrm(~g) of magnesium to 50 mathrm(~cm)^3 of zinc sulfate solution and measured the temperature increase. The student repeated the experiment two more times. The table below shows the results. multicolumn(4)(|c|)( Temperature increase in ( )^circ mathrm(C) ) Experiment 1 & Experiment 2 & Experiment 3 & Mean 7.6 & 7.3 & 7.6 & Y (c) Calculate value Y in the table. [ Y= ] ( )^circ mathrm(C) (2)

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TamsynElite · Tutor for 8 years

Answer

** \( Y = 7.5°C \) **

Explain

## Step1: Identify the data given<br />### In the question, an experiment was conducted three times, and a different temperature increase was recorded each time. We want to find \( Y \), the mean temperature increase.<br /><br />## Step2: Understand the concept of mean<br />### Also known as the arithmetic average, the mean is equal to the sum of the values divided by the number of values.<br /><br />## Step3: Apply the formula for mean to calculate \( Y \).<br />### The formula for mean could be represented mathematically as garnished as: <br />### **\( Y = \frac{Sum \ of \ the \ Measurements}{Number \ of \ Values} \)**<br />### For this question the sum is the sum of temperatures from Experiment 1, 2 and 3 which gives = 7.6°C + 7.3°C +7.6°C = 22.5°C] <br /><br />## Step 4: Perform the calculation<br />### There are three measurements in total so, to finish the calculation we have to divide the total sum by 3:<br />### **\( Y = \frac{22.5°C}{3} = 7.5°C \) **
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