Using the following data for water, determine the final temperature when 100 g of ice at -10 oC is heated with 350 kJ of energy. Boiling point 373 K Melting point 273 K Enthalpy of vaporization 2,260 J/g Enthalpy of fusion 334 J/g Specific heat capacity (solid) 2.11 J/(g K) Specific heat capacity (liquid) 4.18 J/(g K) Specific heat capacity (gas) 2.08 J/(g K) Group of answer choices 382 oC 325 oC 309 oC 225 oC 100 oC

Respuesta :

The final temperature is [tex]110^{o}[/tex]C.

Given that,

energy Q given = 350KJ

Boiling point = 373 K

Melting point = 273 K

Enthalpy of vaporization = 2,260 J/g  

Ice's latent heat of fusion (L f) is 334 J/g.

Solid's specific heat capacity: 2.11 J/ (g K)

Liquid's specific heat capacity: 4.18 J/ (g K)

Specific heat capacity (gas) = 2.08 J/(g K)

Specific heat capacity of water ( c w)=1cal/g ∘C

Mass of ice (m)=100g

Initial temperature of ice (T1)= -10∘C

final temperature of ice (T2)= x ∘C

Let the temperature of mixture be x

to find final temperature :

Q =mcΔT

350 KJ = 100×2.11×(x−(-10))

350 KJ = 100×2.11×(x−(-283))

x=110∘C

From the principle of calorimetry, final temperature of ice after heating is 110∘C.

What is principle of calorimetry ?

Heat is transmitted from the body with higher temperature to the body with lower temperature until thermal equilibrium is reached between them when two bodies of different temperatures (ideally a solid and a liquid) are placed in physical contact with one another .A higher body temperature causes the release of heat whereas a lower body temperature absorbs heat. The law of conservation of energy, which states that the total amount of heat lost by a hot body equals the total amount of heat acquired by a cool the body, as the calorimetry principle demonstrates.

Heat Lost = Heat Gained

Using the following formula, the heat transport in a system is determined.

Where

q is the measure of heat transfer

m is the mass of the body

C is the body's specific heat

Δt is the change in the temperature

To know more about calorimetry :

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