Exercise 3.77MISSED THIS? Watch IWE 3.10: Read Sections 3.11, 3.12. You can click on the Review link to access the section in your eText.Part ACalculate the amount of heat required to heat a 45 kg sample of ethanol from 14.0°C to 19.0°C. The specific heat capacity of ethanol is 2.42 J/(g- "C).Express your answer in joules to two significant figures.196| ΑΣΦ9=SubmitProvide FeedbackRequest AnswerJ

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ANSWER

The heat required is 544500J

EXPLANATION

Given that;

The mass of ethanol is 45kg

The initial temperture is 14 degrees Celcius

The final temperature is 19 degrees Celcius

The specific heat capacity of ethanol is 2.42 J/g degrees Celcius

Follow the steps below to find the heat required

[tex]\text{ q = mc}\Delta T[/tex]

Convert the mass of ethanol to grams

Recall, 1 kg is equivalent to 1000g

[tex]\begin{gathered} \text{ 1kg }\rightarrow\text{ 1000g} \\ \text{ 45kg }\rightarrow\text{ xg} \\ \text{ cross multiply} \\ \text{ 1kg }\times\text{ xg = 45kg }\times\text{ 1000g} \\ \text{ isolate xg } \\ \text{ xg = }\frac{45\cancel{kg}\times\text{ 1000g}}{1\cancel{kg}} \\ \text{ xg = 45000g} \end{gathered}[/tex]

The mass of ethanol in grams is 45000 grams

[tex]\begin{gathered} \text{ q = 45000}\times\text{ 2.42}\times\text{ \lparen19 - 14\rparen} \\ \text{ q = 45000}\times\text{ 2.42}\times\text{ 5} \\ \text{ q = 544500J} \end{gathered}[/tex]

The heat required is 544500J