Neco 2024 Physics Question 28

Practice objective / multiple choice question 28 from the 2024 Neco Physics examination.

Neco 2024 Physics Objective / Multiple Choice Medium Difficulty
Question 28 NECO • 2024 • PHYSICS • objective

A 0.100 kg sample of a metal alloy has a specific heat capacity that varies linearly with temperature according to \( c(T) = a + bT \) (J·kg\( ^{-1}\)·°C\( ^{-1} \)). When 12.0 kJ of heat is supplied, its temperature rises from \( 20^{\circ}\text{C} \) to \( 30^{\circ}\text{C} \). A further 13.5 kJ raises the temperature from \( 30^{\circ}\text{C} \) to \( 40^{\circ}\text{C} \).\n\nDetermine the values of \( a \) and \( b \), and then calculate the specific heat capacity of the alloy at \( 35^{\circ}\text{C} \). Give your final answer for \( c(35^{\circ}\text{C}) \) in kJ·kg\( ^{-1}\)·°C\( ^{-1} \) to three significant figures.

Answer Options

Correct Answer A. c(35°C) = 13.5 kJ·kg⁻¹·°C⁻¹
B. c(35°C) = 12.9 kJ·kg⁻¹·°C⁻¹
C. c(35°C) = 14.0 kJ·kg⁻¹·°C⁻¹
D. c(35°C) = 13.0 kJ·kg⁻¹·°C⁻¹
Correct Answer
A
Correct Option:
c(35°C) = 13.5 kJ·kg⁻¹·°C⁻¹

About This Question

This is Neco 2024 Physics Question 28. It is one of the objective questions from the 2024 Neco Physics examination.

Difficulty level: Medium .

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