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What is the final temperature of your coffee?

What is the final temperature of your coffee?

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In order to extract the maximum flavor in the shortest amount of time, your local fast food purveyor has decided to brew its coffee at 90.0 °C and serve it quickly so that it has only cooled down to 85.0 °C. While this may be economically sensible, it is negligent and dangerous from a health and safety standpoint. Water (which is what coffee mostly is) at 85.0 °C is hot enough to cause third-degree burns (the worst kind) in two to seven seconds. You add 0.0705 kg of ice -18.5 °C ice cubes to cool down the your 355 mL of coffee. What is the final temperature of your coffee?

First step: Solve for the amount of energy required to raise the ice up to 0 °C (Qcold ice). This will happen by heat (Q) leaving the coffee and going into the ice. The specific heat of ice (cice) is

In order to extract the maximum flavor in the shortest amount of time, your local fast food purveyor has decided to brew its coffee at 90.0 °C and serve it quickly so that it has only cooled down to 85.0 °C. While this may be economically sensible, it is negligent and dangerous from a health and safety standpoint. Water (which is what coffee mostly is) at 85.0 °C is hot enough to cause third-degree burns (the worst kind) in two to seven seconds. You add 0.0705 kg of ice -18.5 °C ice cubes to cool down the your 355 mL of coffee. What is the final temperature of your coffee? First step: Solve for the amount of energy required to raise the ice up to 0 °C (Qcold ice). This will happen by heat (Q) leaving the coffee and going into the ice. The specific heat of ice (Cice) is J 2090 kg .0 C Use the equation Q cold = Mice · Cice·AT ice (note: for the purpose of significant figures, 0 °C is EXACTLY O °C, infinite significant figures)
Transcribed Image Text:In order to extract the maximum flavor in the shortest amount of time, your local fast food purveyor has decided to brew its coffee at 90.0 °C and serve it quickly so that it has only cooled down to 85.0 °C. While this may be economically sensible, it is negligent and dangerous from a health and safety standpoint. Water (which is what coffee mostly is) at 85.0 °C is hot enough to cause third-degree burns (the worst kind) in two to seven seconds. You add 0.0705 kg of ice -18.5 °C ice cubes to cool down the your 355 mL of coffee. What is the final temperature of your coffee? First step: Solve for the amount of energy required to raise the ice up to 0 °C (Qcold ice). This will happen by heat (Q) leaving the coffee and going into the ice. The specific heat of ice (Cice) is J 2090 kg .0 C Use the equation Q cold = Mice · Cice·AT ice (note: for the purpose of significant figures, 0 °C is EXACTLY O °C, infinite significant figures)
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