A food chemist conducted an experiment in a bomb calorimeter to determine the energy content, in joules per gram, of a musli bar. A 3.959 g sample of the musli bar was combusted in the calorimeter and the temperature of the water rose by 16.7 °C. The calibration factor of the calorimeter was previously determined to be 4780 J °C⁻¹. The energy content of the musli bar is A. 3.51 × 10⁵ J g⁻¹ B. 2.02 × 10⁶ J g⁻¹ C. 1.13 × 10⁵ J g⁻¹ D. 7.25 × 10⁵ J g⁻¹

SSCE VCE Chemistry Primary Galvanic Cells and Fuel Cells as Sources of Energy: A food chemist conducted an expe

A food chemist conducted an experiment in a bomb calorimeter to determine the energy content, in joules per gram, of a musli bar - VCE - SSCE Chemistry - Question 19 - 2021 - Paper 1

Question 19

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A food chemist conducted an experiment in a bomb calorimeter to determine the energy content, in joules per gram, of a musli bar. A 3.959 g sample of the musli bar w... show full transcript

Worked Solution & Example Answer:A food chemist conducted an experiment in a bomb calorimeter to determine the energy content, in joules per gram, of a musli bar - VCE - SSCE Chemistry - Question 19 - 2021 - Paper 1

Step 1

Calculate the total energy released

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Answer

To find the total energy released during the combustion, we can use the formula:

$Q = C \times \Delta T$

where:

$Q$ is the heat energy (in joules),
$C$ is the calibration factor of the calorimeter (4780 J °C⁻¹),
$\Delta T$ is the change in temperature (16.7 °C).

Plugging in the values:

$Q = 4780 \times 16.7 = 79766 \text{ J}$

Step 2

Calculate the energy content per gram

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Answer

Next, to find the energy content per gram, we divide the total energy released by the mass of the musli bar:

$\text{Energy content per gram} = \frac{Q}{\text{mass}}$

Here, the mass is 3.959 g:

$\text{Energy content per gram} = \frac{79766}{3.959} \approx 20124.07 ext{ J g}^{-1}$

Thus, converting to scientific notation:

$20124.07 ext{ J g}^{-1} = 2.02 \times 10^4 ext{ J g}^{-1}$

Step 3

Select the correct answer from options

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Answer

Comparing the calculated value with the provided options, the closest match is:

B. 2.02 × 10⁶ J g⁻¹

A food chemist conducted an experiment in a bomb calorimeter to determine the energy content, in joules per gram, of a musli bar - VCE - SSCE Chemistry - Question 19 - 2021 - Paper 1

Worked Solution & Example Answer:A food chemist conducted an experiment in a bomb calorimeter to determine the energy content, in joules per gram, of a musli bar - VCE - SSCE Chemistry - Question 19 - 2021 - Paper 1

Calculate the total energy released

Calculate the energy content per gram

Select the correct answer from options

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