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...

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Extracted 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 Specific heat, Cp (°C) J kg-°C ) 42 4187 52 4194 82 4207 100 4225 110 4308 Determine the value of the specific heat at T = 61°C using a second order Lagrange polynomial. (i) (ii) Determine the value of the specific heat at T = 61°C using a third order Lagrange polynomial. Find the absolute relative approximate error . obtained between the results from the second with third order polynomial. (iii)