Question

Suppose you have 1 kg each of iron, glass, and water, and all three samples are at 10°C. Rank the samples from lowest to highest temperature after 100 J of energy is added to each by

Answer 1

The rank of temperature from lowest to highest is

Lowest --- Middle --- Highest

Water --- Glass --- Iron

Step-by-step explanation:

From the question we are told that

The mass of iron, glass, and water is
`m_i =m_g = m_w= 1 \ kg`

The temperature of iron, glass, and water is
`T_i = T_g = T_w = 10^oC = 10 + 273 = 283 \ K`

The energy added is
`E = 100J`

The specific heat of iron is a constant with a value

`c_i = 449 J / kg ^oC`

The specific heat of glass is a constant with a value

`c_g = 670 J / kg ^oC`

The specific heat of water is a constant with a value

`c_w = 4183 J / kg ^oC`

Now energy transferred to these substances can be mathematically represented as

`E = mc_p \Delta T`

Now from the question the mass of the substance and the energy added are constant

So

`\Delta T \ \ \ \alpha\ \ \ (1)/(c_p)`

Thi means that the change in temperature is inversely proportional to the specific heat of the substance

With this knowledge we can deduce that

The substance with the highest temperature is Iron

followed by glass

and then water