A 0.225 kg sample of tin initially at 97.5°c is dropped into 0.115 kg of water. the initial temperature of the water is 10.0°c. if the specific heat capacity of tin is 230 j/kg • °c, what is the final equilibrium temperature of the tin-water mixture

Answers

Answer 1

Answer:

The final equilibrium temperature of the tin-water mixture is approximately 18.468 °C

Explanation:

The parameters of heat energy transfer from the tin to the water are given as follows;

The mass of the sample of tin, m₁ = 0.225 kg

The initial temperature of the tin, T₁ = 97.5 °C

The mass of the water into which the tin is dropped, m₂ = 0.115 kg

The initial temperature of the water, T₂ = 10.0 °C

The specific heat capacity of tin, c₁ = 230 J/(kg·°C)

The specific heat capacity of water, c₂ = 4,200 J/(kg·°C)

Let 'T' represent the final equilibrium temperature of the tin-water mixture, we have;

The heat lost by the tin, ΔQ[tex]_{tin}[/tex] = The heat gained by the water ΔQ[tex]_{water}[/tex]

∴  ΔQ[tex]_{tin}[/tex] = ΔQ[tex]_{water}[/tex]

Where;

ΔQ[tex]_{tin}[/tex] = m₁·c₁·(T₁ - T)

ΔQ[tex]_{water}[/tex] = m₂·c₂·(T - T₂)

By substitution, we have;

ΔQ[tex]_{tin}[/tex] = 0.225 kg × 230 J/(kg·°C) × (97.5°C - T)

ΔQ[tex]_{water}[/tex] = 0.115 kg × 4,200 J/(kg·°C) × (T - 10.0°C)

From ΔQ[tex]_{tin}[/tex] = ΔQ[tex]_{water}[/tex], we have;

0.225 kg × 230 J/(kg·°C) × (97.5°C - T) = 0.115 kg × 4,200 J/(kg·°C) × (T - 10.0°C)

∴ 5,045.625 J - 51.75 J/°C × T = 483 J/°C × T - 4,830 J

5,045.625 J + 4,830 J = 534.75 J/°C × T

∴ 534.75 J/°C × T = 9,875.625 J

T =  9,875.625 J/(534.75 J/°C) = 18.4677419 °C ≈ 18.468 °C

The final equilibrium temperature of the tin-water mixture, T ≈ 18.468 °C.


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Explanation:

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Power can be defined as the rate at which work is done by an object. The S.I unit of power is Watt(W).

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A ball of mass 12 kg is released from a height of 2.5 m
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Answers

Answer:

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Explanation:

From conservation of energy;

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Answers

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Answer:

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Answer:

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Explanation:


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Answer:

D

Explanation:

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Answer:

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Answer:

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Answers

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Answers

Answer:

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Answers

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E = 1440 kJ

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Answers

Answer:

The constriction in the thermometer is to prevent the mercury from dropping back to the bulb when the reading is being taken. It is easier for us to take reading. It prevents the thermometric substance (Mercury or Alcohol) from running back into the bulb.

Explanation:

Hope it is helpful....

Answer:

constriction is made in a clinical thermometer because it prevents the thermometric liquid from running back into the bulb.

+
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Answers

Answer:

Kinetic energy

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Answers

Answer:

he shape is like granite, other rocks like this are shaped in the weather.

Explanation:

He shape is like granite, other rocks like this are shaped in the weather.

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The primary source of the substance lime is limestone, a form of carbonate sedimentary rock composed primarily of calcium carbonate (CaCO3).

The minerals calcite and aragonite, which are various crystal forms of CaCO3, make up the majority of its material. As these minerals separate from water that has dissolved calcium, limestone is created.

Both biological and nonbiological activities can contribute to this, while biological processes—like the buildup of corals and shells in the sea—have probably been more significant during the past 540 million years.

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A 0.42 kg soccer ball is moving down field with a velocity of 12 m/s. A player kicks the ball so that it has a final velocity of 18 m/s down field. What is the change in the balls momentum? and find the constant force exerted by the players foot on the ball if the two are in contact for 0.020 s?

Answers

Answer:

the change in momentum is 2.52 N·s

the constant force on the ball while in contact with the players foot is 126 N

Explanation:

p=momentum

m=mass

v=change in velocity

p=(0.42)(6)

p=2.52

The change in the ball's momentum is 2.52 kgms⁻¹

The constant force exerted by the players foot on the ball is 126 N

From the question,

We are to determine the change in momentum of the ball

Change in momentum calculated by using the formula,

[tex]\rho = m(v-u)[/tex]

Where [tex]\rho[/tex] is the change in momentum

[tex]m[/tex] is the mass

[tex]v[/tex] is the final velocity

and [tex]u[/tex] is the initial velocity

From the given information,

[tex]m = 0.42 \ kg[/tex]

[tex]u = 12 \ m/s[/tex]

[tex]v = 18 \ m/s[/tex]

Therefore,

Change in the ball's momentum,

[tex]\rho = 0.42 (18-12)[/tex]

[tex]\rho = 0.42 (6)[/tex]

[tex]\rho = 2.52 \ kgms^{-1}[/tex]

Hence, the change in the ball's momentum is 2.52 kgms⁻¹

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Force is given by change in momentum with time

That is,

[tex]F = \frac{\rho}{t}[/tex]

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[tex]F[/tex] is the force

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and [tex]t[/tex] is the time

From the given information

[tex]t = 0.020 \ s[/tex]

Therefore,

[tex]F = \frac{2.52}{0.020}[/tex]

[tex]F = 126 \ N[/tex]

Hence, the constant force exerted by the players foot on the ball is 126 N

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nich
Imagine that two birds leave the
same tree at the same time. They
both fly at 10 km/h for 5 minutes.
Why don't they end up at the
same place?

Answers

Answer:

hello

Explanation:

The less mass an object has, the --- its gravitational f

Answers

Answer:

The less mass an object has, the less its gravitational  [force.]

Explanation:

Newton's Law of Gravity states that [tex]F_G=\frac{Gm_1m_2}{r^{2}}[/tex]. The two m values are the objects' masses, G is the gravitational constant, and r is the distance between the objects' centers. Notice how the mass values are in the fraction's numerator? That means increasing the mass of one or both objects increases [tex]F_G[/tex]. That also implies the inverse; decreasing the mass of one or both objects decreases [tex]F_G[/tex]!

I hope this helps you understand this concept a little more! Have yourself a fantastic day, 'kay?

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