A 45g Aluminum spoon (specific heat 0.88J/g degree Celcius) at 24 degrees Celcius placed in 180ml(180g) of coffee at 85 degrees Celcius and the temperature of the two become equal. What is the final temperature?

Answers

Answer 1

Answer:

82 °C

Explanation:

Let the specific heat capacity of the coffee be that of water which is 4.2 J/g °C.

Now, at the final temperature, heat gained by Aluminum spoon ,Q equals heat lost by coffee, Q'.

Q = -Q'

Q = m₁c₁(T₂ - T₁) where m₁ = mass of aluminum spoon = 45 g, c₁ = specific heat of aluminum = 0.88 J/g °C, T₁ = initial temperature of aluminum spoon = 24 °C and T₂ = final temperature of aluminum spoon.

Q' = m₂c₂(T₂ - T₃) where m₂ = mass of coffee = 180 g, c₂ = specific heat of coffee = 4.2 J/g °C, T₃ = initial temperature of coffee = 85 °C and T₂ = final temperature of coffee.

So, Q = -Q'

m₁c₁(T₂ - T₁) = -m₂c₂(T₂ - T₃)

Making T₂ subject of the formula, we have

m₁c₁T₂ - m₁c₁T₁ = -m₂c₂T₂ + m₂c₂T₃

m₁c₁T₂ + m₂c₂T₂ =  m₂c₂T₃ + m₁c₁T₁

(m₁c₁ + m₂c₂)T₂ =  m₂c₂T₃ + m₁c₁T₁

T₂ =  (m₂c₂T₃ + m₁c₁T₁)/(m₁c₁ + m₂c₂)

substituting the values of the variables into the equation, we have

T₂ =  (180 g × 4.2 J/g °C × 85 °C + 45 g × 0.88 J/g °C × 24 °C )/(45 g × 0.88 J/g °C  + 180 g × 4.2 J/g °C)

T₂ =  (64260 J + 950.4 J)/(39.6 J/°C  + 756 J/°C)

T₂ =  65210.4 J/795.6 J/°C

T₂ =  81.96 °C

T₂ ≅  82 °C


Related Questions


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SCIENCE
NOT SCIENCE

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astrology
biology
chemistry
geology
physics
theology

Answers

Answer: Science : Chemistry, astronomy , biology , physics , biology ,geology. Notscience : Astrology and theology

Explanation: Astrology and theology are non scientific areas of study.

How are energy and mass connected during the formation of an
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Answers

Answer:

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Answers

Answer:

See explanation

Explanation:

Intermolecular forces are forces of attraction that exist between molecules of a substance in a particular state of matter.

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What is the molecular geometry of a molecule made of two atoms that share one pair of electrons and have no lone electrons pairs?

trigonal pyramidal
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trigonal planar
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Answers

Answer:

linear

Explanation:

Actually I consulted various sources too and that was the most sought answer,I just decided to answer you before studying it too

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A. cm2 B. 5cm2 C. 25cm2 D. 52cm2

Answers

Answer:

c

Explanation:

Cạnh của hình lập phương là

³\(125 = 5cm

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Do cycloalkanes easily take part in addition reactions?

Answers

Answer:

The reactions of the cycloalkanes are generally just the same as the alkanes, with the exception of the very small ones - particularly cyclopropane. ... In the absence of UV light, cyclopropane can undergo addition reactions in which the ring is broken

PLEASE HELP URGENT!!
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Answers

Answer:

The SI system : The international system of units.

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Benefits of SI system

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Answers

Answer:

rubbing the ruler transfers electrons from the clothe to the ruler now the ruler has excess electrons and it is negatively charged... electrons will move away from the ruler leaving a positive charge on the tissue near the ruler so they attach

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Write the relation of M3 with its multiples

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Explanation:

HI friends good morning

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Answer:

Here’s an example:

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C8H8 is an oily liquid called Styrene. It is also a molecular formula.

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Explanation:

Some background information:

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21 Edmentum. All rights reserved.

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A hot metal plate at 150°C has been placed in air at room temperature. Which event would most likely take place over the next few minutes?
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Answer:

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Explanation:

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Answers

Answer:

bonding conductor

Explanation:

they have bond of conductor between them.

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Answers

D. Water

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Answers

Answer:

Explanation:

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Answers

Explanation:

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Answer:

syrupy solution

WILL MARK BRAINLY IF GOOD ANSWER :)
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Answer:

Well one characteristic is electical energy transforms into  thermal energy and gases and the state of matter(one of the distinct form i which  matter exist)

The number of particles in 8 g 02 molecules are​

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Answer:

cholesterol

Explanation:

gsdhudbdjbfmcjfjdncbdhdnhdndbchdncbdn f f ff

balance the equation:2Na+3H2O-2NaOH+H2​

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Answer:

2Na + 2H2O → 2NaOH + H2

Explanation:

A balanced equation is an equation for a chemical reaction in which the number of atoms for each element in the reaction and the total charge are the same for both the reactants and the products.

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decrease temperature, stir, increase surface area, remove catalyst

none of these

increase temperature, increase surface area, add catalyst, stir

increase temperature, stir, decrease surface area, add catalyst

Answers

Answer:

increase temperature, increase surface areas, add catalyst, stir

The rate of reaction can be increased with the increase in temperature, surface area, adding catalyst and allowing stirring. Thus, option C is correct.

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The rate of reaction is given as the rate of formation of product or the rate of disappearance of reactant in unit time.

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Increase in surface area - It results in increased interaction of the reactant molecules for the formation of product.

Catalyst - It lowers the activation energy of the reactant, and thereby increases the rate of reaction.

Stirring - It mediates the increase in the collisions and the surface area, and resulting in increased rate of reaction.

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Explanation:

Answer:

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Answers

Answer:

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I hope this helps and sorry if it's wrong

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Answers

Answer:

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Answers

Answer:

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Answer:

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Explanation:

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