Explanation

(a) A thermometric liquid is a liquid used in thermometers to measure temperature. It expands and contracts uniformly with changes in temperature, allowing for accurate readings.

(ii) I. Narrow Bore
Reason: Allows precise measurement by controlling the movement of the thermometric liquid, ensuring quick and accurate readings

    II. Thin Wall of the Bulb
Reason: Enhances thermal conductivity, enabling faster heat transfer for quicker and more accurate temperature readings.

(b) Heat is a measure of the change in total internal energy in a body while temperature is a measure of the average kinetic energy of a molecule of the body.

(c) Evaporation leads to cooling for these reasons: 

          Energy Absorption: Molecules at the surface absorb energy to break free, often from the liquid and its surroundings.
          Loss of High-Energy Molecules: Higher-energy molecules evaporate, reducing the average kinetic energy of the remaining liquid.
          Temperature Decrease: As the average kinetic energy drops, the temperature of the liquid decreases, resulting in cooling.

(d)(i) Given: P = 2000W, \(\theta\) = 20ºC, t = 2 mins = 120 secs.

P x t = mc\(\Delta\)\(\theta\)

m = \(\frac{P \times t}{c \times \Delta \theta}\)

m = \(\frac{2000 \times 120}{4200 \times (100 - 20)}\) = 0.714 kg

Also, Pt = ml

l = \(\frac{Pt}{m}\)

where m = 45% of 0.714, t = 6mins = 360secs

l = \(\frac{2000 \times 60 \times 6}{0.714 \times 0.45}\) = 2.29 x 10\(^6\)Jkg\(^{-1}\)

(d)(i) Assumption made: there is no loss of heat to the surroundings, and the heat capacity of the material of the kettle is negligible.

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