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When a 0.66gsample of olive oil is burned in a calorimeter, the heat released increases the temperature of 370gof water from 22.7∘Cto 38.8∘C. What is the energy value for the olive oil in sample?

Short Answer

Expert verified

The energy value of olive oil are37.8KJ/gin Kilojoule and9.03Kcal/gin Kilocalories.

Step by step solution

01

Given information

Calories include a certain total energy, indicated by calories burned. It promotes the execution of pharmacological biological functions.

Mass of olive oil=0.66g

Mass of Water=370g

Temperature varies from22.7∘Cto38.8∘C

02

Find Energy in Kilojoule.

The rise in the temperature of 370g of water is22.7∘Cto 38.8∘Cwhen 0.66gof olive oil is heated in calorimeter.

The amount of heat involved in the process in kilojoules is calculated as follows:

Heat=specificheat×mass×∆T

On substitution of the respective values we have:

Heat=specificheat×mass×∆T

=4.184gg∘C×370g×38.8∘C−22.∘C

=24,924J

=24.9KJ

Thus, the heat added to burn the olive oil is 24.9KJ, thus, the energy value of the olive oil is calculate as:

Energy value

=24.9KJ0.660g=37.9KJ/g

The energy value of the olive oil is 37.8KJ/g

03

Find Energy in Kilocalories.

The amount of heat consume in kcal is calculate as follows:

Heatspecific=heat×mass

=1.00calg∘C×370g×38.8∘C−22.7∘C

=5,957cal

=5.9Kcal

Thus, the heat added to burn the olive oil is 5.9Kcal, thus, the energy value of the olive oil is calculated as :

Energy value

=5.9Kcal0.660g=9.03Kcal/g

The energy value of the olive oil is 9.03Kcal/g

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