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vazorg [7]
2 years ago
8

Suppose that we replace the aluminum with a mystery metal and repeat the experiment in the video. As in the video, the mass of t

he 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 40∘C, and the mystery metal heats up to 80∘C. Compared to that of water, the heat capacity of our mystery metal isa) three times greater.b) one-third as great.c) half as great.d) two times greater.e) the same.
Physics
2 answers:
mars1129 [50]2 years ago
7 0

The heat capacity of our mystery metal is <u>b) one-third as great</u>

<h3>Further explanation </h3>

The law of conservation of energy can be applied to heat changes, i.e. the heat received / absorbed is the same as the heat released

Q in = Q out

Heat can be calculated using the formula:

<h3>Q = mc∆T </h3>

the mass of the metal is the same as that of the water

so m water = m metal

the heat energy used to heat water and metals is the same, so

Q water = Q metal

\displaystyle m_mc_m (T-Tm) = m_wc_w (T-Tw)

m = metal

w = water

T = the final temperature of the mixture

Tm = metal temperature

Tw = water temperature

so the equation becomes:

\displaystyle c_m(80-20)=c_w(40-20)\\\\60c_m=20c_w\\\\\frac{c_m}{c_w}=\frac{20}{60}=\frac{1}{3}

<h3>Learn more </h3>

the difference between temperature and heat

brainly.com/question/3821712

Specific heat

brainly.com/question/9525136

relationships among temperature, heat, and thermal energy.

brainly.com/question/224374

When heat is added to a substance

brainly.com/question/3417580

Keywords: heat, temperature,the heat capacity

dimaraw [331]2 years ago
6 0

Answer:

b) one-third as great.

Explanation:

As we know that same heat is supplied in this experiment

so we will have

Q = ms\Delta T

now we know that both are initially at same temperature

then their final temperatures are

T_1 = 40 degree

T_2 = 80 degree

now we have

m_1s_1 (40 - 20) = m_2s_2(80 - 20)

so we have

m_2s_2 = \frac{20}{60} m_1s_1

so heat capacity of mystery metal is 1/3 times that of water

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