Question

Suppose that we replace the aluminum with a mystery metal and repeat the experiment in the video. As in the video, the mass of the metal is the same as that of the water. Room temperature is about 20 C before the start of the experiment. The water heats up to 40C, and the mystery metal heats up to 80C. Compared to that of water, the heat capacity of our mystery metal is
a) three times greater.
b) one-third as great.
c) half as great.
d) two times greater.
e) the same.

Answer 1

Answer:

a) three times greater

Explanation:

Remember the heat capacity is the necessary heat to increase the temperature 1 ºC to an specific mass of the substance, in this case since the water and the metal have the same mass, is easier to compare just the neccesary heat.

Since water increases 20 ºC and the metal 60 ºC, it was neccesary 3 times of the quantity of heat to the same amount of mass of the two different susbtances.

Hope it was useful

Answer 2

Compared to that of water, the heat capacity of our mystery metal is:

b) one-third as great

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Further explanation

Specific Heat Capacity is the amount of energy needed to raise temperature of 1 kg body for 1°C.

$\large {\boxed{Q = m \times c \times \Delta t} }$

Q = Energy ( Joule )

m = Mass ( kg )

c = Specific Heat Capacity ( J / kg°C )

Δt = Change In Temperature ( °C )

Let us now tackle the problem!

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Given:

room temperature = to = 20°C

final temperature of water = t_w = 40°C

final temperature of metal = t_m = 80°C

mass of water = mass of metal = m

Asked:

specific capacity of metal = c_m = ?

Solution:

$Q_{metal} = Q_{water}$

$mc_m(t_m - t_o) = mc_w(t_w - t_o)$

$c_m(80 - 20) = c_w(40 - 20)$

$c_m(60) = c_w(20)$

$c_m = c_w \times \frac{20}{60}$

$\boxed{\large {c_m = \frac{1}{3}c_w}}$

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Compared to that of water, the heat capacity of our mystery metal is:

b) one-third as great.

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Learn more

• Efficiency of Engine : https://brainly.com/question/5597682
• Flow of Heat : https://brainly.com/question/3010079
• Difference Between Temperature and Heat : https://brainly.com/question/3821712

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Answer details

Grade: College

Subject: Physics

Chapter: Thermal Physics

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Keywords: Heat , Temperature , Block , Aluminium , Ice , Cold , Water