Question

An aluminum cup contains 225 g of water and a 40-g copper
stirrer, all at 27°C. A 441-g sample of silver at an initial
temperature of 85°C is placed in the water. The stirrer is used to
stir the mixture gently until it reaches its final equilibrium
temperature of 32°C. Calculate the mass of the aluminum cup.

My answer: 163.7 g

Your response is within 10% of the correct value. This may be due
to roundoff error, or you could have a mistake in your calculation.
Carry out all intermediate results to at least four-digit accuracy
to minimize roundoff error.

Answer #1

Let the mass od the aluminum cup is mal.

Given that

The mass of the copper stirrer mc=40 g.

The mass of the water mw=225 g.

The mass of the silver sample msi=441 g.

The temperature of the water, cup, the stirrer is T1=27oC.

The temperature of the silver Tsi=85oC.

The final temperature of the system T=32oC.

Now from the conservation of heat energy, we can say

The mass of the aluminum cup is 165.6 g.

An aluminum cup contains 225 g of water and a 40-g copper
stirrer, all at 27°C. A 500-g sample of silver at an initial
temperature of 90°C is placed in the water. The stirrer is used to
stir the mixture gently until it reaches its final equilibrium
temperature of 32°C. Calculate the mass of the aluminum cup. g

An aluminum cup contains 225 g of water and a 40-g copper
stirrer, all at 27°C. A 402-g sample of silver at an initial
temperature of 86°C is placed in the water. The stirrer is used to
stir the mixture gently until it reaches its final equilibrium
temperature of 32°C. Calculate the mass of the aluminum cup.

An aluminum cup contains 225 g of water and a 40-g copper
stirrer, all at 27°C. A 480-g sample of silver at an initial
temperature of 90°C is placed in the water. The stirrer is used to
stir the mixture gently until it reaches its final equilibrium
temperature of 32°C. Calculate the mass of the aluminum cup.

An aluminum cup contains 225 g of water and a 40 g copper
stirrer, all at 27°C. A 470 g sample of silver at an initial
temperature of 89°C is placed in the water. The stirrer is used to
stir the mixture gently until it reaches its final equilibrium
temperature of 32°C. Calculate the mass of the aluminum cup.

An aluminum cup contains 218 g of water at 21.5 C. A 412g sample
of silver at an initial temperature of 81.6 C is placed in the
water. A 40.2 g copper stirrer is used to stir the mixture until it
reaches its final equilibrium temperature of 27.0 C. Calculate the
mass of the aluminum cup.
I have posted this twice before and Ion capa told me there
answers of 24.29 and 30.3 were incorrect. Third times the charm

A 200 g of copper, initially at 300o C, is dropped into a 350 g
of water contained in a 355 g aluminum calorimeter; the water and
the calorimeter are initially 15o C. If 25 g iron stirrer is used
to bring the mixture into thermal equilibrium, what is the final
temperature of the system? ( Assume that the stirrer is initially
at 15o C.) Specific heat of copper and aluminum are 0.092 cal/g oC
and 0.215 cal/g oC respectively....

A 49-g block of copper at -11 ∘C
is added to 140 g of water in a 74-g aluminum cup. The cup and the
water have an initial temperature of 4.1 ∘C. Find the equilibrium
temperature of the cup and its contents.

An aluminum cup of mass 110 g contains 800 g of water in thermal
equilibrium at 80.0°C. The combination of cup and water is cooled
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At what rate is energy being removed by heat? Express your answer
in watts. W

Five perfectly insulating cups contain equal volumes of water
all initially at 90°C. To each cup is added a different metal block
all with initial temperature of 25°C and equal mass. The metals are
copper, silver, aluminum, lead, and iron. Which cup ends with the
coolest water after thermal equilibrium has been established?
Neglect any energy transfer into or away from the cups.

A coffee-cup calorimeter contains 130.0 g of water at 25.3 ∘C .
A 124.0-g block of copper metal is heated to 100.4 ∘C by putting it
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Part A
Determine the amount of heat, in J , lost by the copper block....

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