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Fofino [41]
3 years ago
15

Use the table below to answer the following questions. Substance Specific Heat (J/g•°C) water 4.179 aluminum 0.900 copper 0.385

iron 0.450 granite 0.790 1. When 3.0 kg of water is cooled from 80.0C to 10.0C, how much heat energy is lost? 2. How much heat is needed to raise a 0.30 kg piece of aluminum from 30.C to 150C? 3. Calculate the temperature change when: a) 10.0 kg of water loses 232 kJ of heat. b) 1.96 kJ of heat are added to 500. g of copper. 4. When heated, the temperature of a water sample increased from 15°C to 39°C. It absorbed 4300 joules of heat. What is the mass of the sample? 5. 5.0 g of copper was heated from 20°C to 80°C. How much energy was used to heat Cu? 6. The temperature of a sample of iron with a mass of 10.0 g changed from 50.4°C to 25.0°C with the release of 47 Joules of heat. What is the specific heat of iron? 7. The temperature of a sample of water increases
Physics
1 answer:
lbvjy [14]3 years ago
8 0

1. -8.78 \cdot 10^5 J

The energy lost by the water is given by:

Q=m C_s \Delta T

where

m = 3.0 kg = 3000 g is the mass of water

Cs = 4.179 J/g•°C is the specific heat

\Delta T=10.0C-80.0C=-70.0 C is the change in temperature

Substituting,

Q=(3000 g)(4.179 J/gC)(-70.0 C)=-8.78 \cdot 10^5 J

2. 3.24 \cdot 10^4 J

The energy added to the aluminium is given by:

Q=m C_s \Delta T

where

m = 0.30 kg = 300 g is the mass of aluminium

Cs = 0.900 J/g•°C is the specific heat

\Delta T=150.0 C-30.0C =120.0 C is the change in temperature

Substituting,

Q=(300 g)(0.900 J/gC)(120.0 C)=3.24 \cdot 10^4 J

3a. -5.6^{\circ}C

The temperature change of the water is given by

\Delta T=\frac{Q}{m C_s}

where

Q = -232 kJ=-2.32\cdot 10^5 J is the heat lost by the water

m=10.0 kg=10000 g is the mass of water

Cs = 4.179 J/g•°C is the specific heat

Substituting,

\Delta T=\frac{-2.32\cdot 10^5 J}{(10000g)(4.179 J/gC)}=5.6^{\circ}C

3b. +10.2^{\circ}C

The temperature change of the copper is given by

\Delta T=\frac{Q}{m C_s}

where

Q = 1.96 kJ=1960 is the heat added to the copper

m= 500 g is the mass of copper

Cs = 0.385 J/g•°C is the specific heat

Substituting,

\Delta T=\frac{1960 J}{(500g)(0.385 J/gC)}=10.2^{\circ}C

4. 42.9 g

The mass of the water sample is given by

m=\frac{Q}{C_S \Delta T}

where

Q=4300 J is the heat added

\Delta T=39 C-15 C=24C is the temperature change

Cs = 4.179 J/g•°C is the specific heat

Substituting,

m=\frac{4300 J}{(4.179 J/gC)(24 C)}=42.9 g

5. 115.5 J

The heat used to heat the copper is given by:

Q=m C_s \Delta T

where

m = 5.0 g is the mass of copper

Cs = 0.385 J/g•°C is the specific heat

\Delta T=80.0 C-20.0C =60.0 C is the change in temperature

Substituting,

Q=(5.0 g)(0.385 J/gC)(60.0 C)=115.5 J

6. 0.185 J/g•°C

The specific heat of iron is given by:

C_s = \frac{Q}{m \Delta T}

where

Q = -47 J is the heat released by the iron

m = 10.0 g is the mass of iron

\Delta T=25.0-50.4 C=-25.4 C is the change in temperature

Substituting,

C_s = \frac{-47 J}{(10.0 g)(-25.4 C)}=0.185 J/gC

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igor_vitrenko [27]

Answer:

A opção A está correta.

O sistema formado pela garrafa térmica e a água perde 400 cal de calor para o meio ambiente.

Option A is correct.

The system formed by the thermos and the water loses 400 cal of heat to the environment.

Explanation:

Quando a temperatura de um sistema reduz, fica claro que o sistema perdeu calor ou energia térmica. Como a temperatura é um dos indicadores mais claros disso, esta conclusão é hermética e correta.

Mas, para saber a quantidade de calor perdida para o meio ambiente, agora fazemos alguns cálculos de energia térmica.

Transferência de calor de ou para o sistema de água e garrafa térmica = c × ΔT

c = capacidade térmica do sistema de água e garrafa térmica = 80 cal /°C

ΔT = Alteração da temperatura do sistema de água e garrafa térmica = (temperatura final) - (temperatura inicial) = 55 - 60 = -5°C

Calor transferido = 80 × -5 = -400 cal.

O sinal de menos mostra que o calor é transferido para fora do sistema, ou seja, o calor é perdido no sistema.

Espero que isto ajude!!!

English Translation

The thermos (also known as "Dewar vase") is an extremely useful device to conserve bodies (essentially liquid) at high temperatures, minimizing energy exchanges with the environment, which is generally colder. A thermos contains water at 60 o C. The thermos + water set has a thermal capacity of C = 80 cal / o C. The system is placed on a table and, after a considerable period of time, its temperature decreases to 55 o C. In this case, it is concluded that the system formed by the thermos and the water inside:

a) lost 400 cal. B) gained 404cal. C) lost 4 850 cal. D) gained 4 850 cal. E) did not exchange heat with the external environment.

Solution

When a system's temperature reduces, it is clear to conclude that the system has lost heat or thermal energy. Since temperature is one of clearest indicators of this, this conclusion is airtight and correct.

But, to know the amount of heat lost to the environment, we now do some thermal energy calculations.

Heat transferrred from or to the water and thermos system = c × ΔT

c = heat capacity of the water and thermos system = 80 cal/°C

ΔT = Change in temperature of the water and thermos system = (final temperature) - (initial temperature)

= 55 - 60 = -5°C

Heat transferred = 80 × -5 = -400 cal.

The minus sign shows that the heat is transferred out of the system, that is, the heat is lost from the system.

Hope this Helps!!!

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