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In order to make 4 cups of tea, 1.00 kg of water is heated from 22.0 oC to 99.0 oC. How much energy is required? 1) One point for how you would set up the problem and correct answer 2) 1 point for explaining any conversions 3) One point for explaining if this is endothermic or exothermic and why

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boffeemadrid

Answer:

[tex]322014\ \text{J}[/tex]

Explanation:

m = Mass of water = 1 kg

c = Specific heat of water = [tex]4182\ \text{J/kg}^{\circ}\text{C}[/tex]

[tex]\Delta T[/tex] = Change in temperature = [tex](99-22)^{\circ}\text{C}[/tex]

Heat or energy required in the system is

[tex]Q=mc\Delta T\\\Rightarrow Q=1\times 4182\times (99-22)\\\Rightarrow Q=322014\ \text{J}[/tex]

The energy required is [tex]322014\ \text{J}[/tex]

Unit of energy is Joule

[tex]mc\Delta T=\text{kg}\times \dfrac{\text{J}}{\text{kg}^{\circ}\text{C}}\times\ ^{\circ}\text{C}=\text{J}[/tex]

As heat is being absorbed by the water it is endothermic in nature.

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