Q1 (a) To identify how much heat is required to bring a kettle of water to its boiling point, you are required to calculate the specific heat of water at 61°C. The specific heat of water is given as a function of time in Table Q1(a). Table Q1(a): Specific heat of water as a function of temperature Temperature, T (°C) Specific heat, Cp J kg-°C 42 4187 52 4194 82 4207 100 4225 110 4308 (i) Determine the value of the specific heat atT = 61°C using a second order Lagrange polynomial,

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Q1 (a) To identify how much heat is required to bring a kettle of water to its boiling point, you are
required to calculate the specific heat of water at 61°C. The specific heat of water is
given as a function of time in Table Q1(a).
Table Q1(a): Specific heat of water as a function of temperature
Temperature, T
(°C)
Specific heat, Cp
J
kg-°C
42
4187
52
4194
82
4207
100
4225
110
4308
(i)
Determine the value of the specific heat atT = 61°C using a second order
Lagrange polynomial,
Transcribed Image Text:Q1 (a) To identify how much heat is required to bring a kettle of water to its boiling point, you are required to calculate the specific heat of water at 61°C. The specific heat of water is given as a function of time in Table Q1(a). Table Q1(a): Specific heat of water as a function of temperature Temperature, T (°C) Specific heat, Cp J kg-°C 42 4187 52 4194 82 4207 100 4225 110 4308 (i) Determine the value of the specific heat atT = 61°C using a second order Lagrange polynomial,
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