Olaf the snowman has a mass of 38 kg, and a body temperature of -4.2 degrees Celsius. He took a sip of hot coffee with a volume of 15 mL and a temperature of 80.0 degrees Celsius. The coffee turned into ice and eventually become a part of Olaf. Determine the final temperature of Olaf.

Answers

Answer 1

Answer:

84.2 degrees

Explanation:

Answer 2

Olaf the snowman has an heat capacity of ice while the coffee can be

assumed to have the same heat capacity of water.

The final temperature of ice is approximately -4.08 °C

Reasons:

The heat lost by the coffee = The heat gained by Olaf...(1)

ΔQ = m₁·c₁·(T₃ - T₁) = m₂·c₂·(T₂ - T₃)

Mass of the snowman, m₁ = 38 kg

Initial temperature of the snowman, T₁ = -4.2°C

Volume of coffee, V = 15 mL = 0.000015 m³

Initial temperature of the coffee = 80.0 °C

Specific heat capacity of the snowman, c₁ = 2.097 J/(g·°C)

Specific heat capacity of the coffee, c₂ = 4.187 J/(g·°C)

Latent heat of fusion of the coffee into ice = 334 J/g

Density of the ice, ρ₂ = 997 kg/m³

Solution:

Mass of the coffee, m₂ = 0.000015 m³ × 997 kg/m³ = 0.014955 kg = 14.955 grams

Heat given to convert the coffee to ice = 334 J/g × 14.955 g = 4,994.97 J

Heat given to cool the coffee to 0°C = 14.955×4.187×80.0 = 5009.3268

Heat given to cool the coffee to 0°C = 5,009.3268 J

Heat given to reduce the temperature of the coffee turned to ice is

presented as follows;

Heat to cool frozen coffee = 14.955 × 2.108 × T₃ = 31.52514·T₃

Heat gained by Olaf = m₁·c₁·(T₃ - T₁) = 38,000× 2.097 × (T₃ - (-4.2))

Which from equation (1) gives

4,994.97 + 5009.3268 + 31.52514·T₃ = 38,000× 2.097 × (T₃ - (-4.2))

Solving with a graphing calculator, gives;

T₃ ≈ -4.08 °C

The final temperature of Olaf, T₃ ≈ -4.08 °C

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Answer:

Explanation:

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Answers

Answer:

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Answers

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Answer:

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Answer:

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Explanation:

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Answers

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Hope this helps you

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Answer:

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Answers

Answer:

Aluminum iodide (AlI₃)

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wood

Answers

Answer:

wood

Explanation:

hope this helps! good luck on ur test :)

Answer:

Wood

Explanation:

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Answers

Answer:

It is an ionic bond.

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It’s a ionic bond I believe. We just learned about this in school

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Answers

Answer:

Explanation:

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How many moles are in 2.99 x 10^24 atoms of Ca? (
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Answers

Answer:

4.97 moles

Explanation:

There are  6.022*10^23 calcium  atoms  in 1 mole of  Ca

2.99*10^24/6.022*10^23

=4.97 moles

Answer:

4.97 mol

Explanation:

Given data:

Number of atoms of Ca = 2.99×10²⁴

Number of moles of Ca = ?

Solution:

The given problem will solve by using Avogadro number.

It is the number of atoms , ions and molecules in one gram atom of element, one gram molecules of compound and one gram ions of a substance.  The number 6.022 × 10²³ is called Avogadro number.

1 mole = 6.022 × 10²³ atoms

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0.497×10¹ mol

4.97 mol

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answer is atom.Hope it is helpful.

Answer:

Atoms are the smallest particles that made up matter.

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