A sample of water has a mass of 100.0 g. calculate the amount of heat required to change the sample from ice at -45.0°c to liquid water at 75.0°c. use the chart to complete the multiple steps required to arive at the final answer. type in your answers below using 3 digits. q1 = kj q2 = kj q3 = kj qtot = kj

Respuesta :

The amount of sensible and latent heat of mass of 0.1 kg of water will be q₁ = 9.486 kJ, q₂ = 226 kJ, q₃ = 31.5 kJ, and [tex]\rm q _{total } = 226.986[/tex] kJ.

What is thermodynamics?

It is a branch of science that deals with heat and work transfer.

A sample of water has a mass of 100 g.

The amount of heat required to change the sample from ice at -45.0°C to liquid water at 75.0°C.

We know that the state of water from -45.0°C to 0°C is solid that requires sensible heat (q₁), 0°C solid to 0°C liquid is a transition that requires latent heat (q₂), and 0°C to 75.0°C is liquid that requires sensible heat (q₃).

m = 0.1 kg

The specific heat capacity of ice is 2.108 kJ/kg-K.

The specific heat capacity of water is 4.18 kJ/kg-K.

The latent heat of water at 0°C is 2260 kJ/kg.

The sensible heat is required for ice from -45.0°C to 0°C will be

q₁ = m × c × (T₂ - T₁)

q₁ = 0.1 × 2.108 × [0 - (-45)]

q₁ = 9.486 kJ

The latent heat is required for ice to water at 0°C will be

q₂ = m × LH

q₂ = 0.1 × 2260

q₂ = 226 kJ

The sensible heat is required for water from 0°C to 75.0°C will be

q₃ = m × c × (T₂ - T₁)

q₃ = 0.1 × 4.18 × (75 - 0)

q₃ = 31.35 kJ

The total energy will be

[tex]\rm q _{total } = q_1 + q_2 +q_3\\\\q _{total } = 9.486 + 226 + 31.5\\\\q _{total } = 226.986[/tex]

More about the thermodynamics link is given below.

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