Respuesta :
Answer:
The calorie content of 65g of candy is 326.78 cal
Explanation:
Step 1: Data given
Mass of the candy = 15.00 grams
Mass of the container = 0.325 kg
Mass of water = 1.75kg
0.624 kg at an initial temperature of 15.0°C.
The specific heat of aluminium = 0.22 Cal/kg°C
The specific heat of water = 1 cal/kg°C
Step 2: Calculate calorie content for a 15 gram sample
ΔQ = Σm*c*ΔT
⇒ m = mass in grams
⇒ with c= the specific heat in Cal/kg°C
⇒ with ΔT = T2 -T1 = the change in temperatures in °C
ΔQ = m(bomb) * C(aluminium) * ΔT + m(cup) * C(aluminium) * ΔT + m(H2O) * c(H20) * ΔT
ΔQ = (m(bomb) + m(cup)) * c(aluminium) + m(H2O)*c(H20) ) * ΔT
⇒ with mass of the bomb calorimeter = 0.325 kg
⇒ with mass of the cup = 0.624 kg
⇒ with c(aluminium) = the specific heat of aluminium = 0.22 Cal/kg°C
⇒ with mass of water = 1.75 kg
⇒ with c(water) = the heat capacity of water = 1 Cal/kg°C
⇒ with ΔT = the change in temperature = T2 - T1 = 53.5 - 15.0 = 38.5 °C
ΔQ = 0.325*0.22*38.5 + 0.624*0.22*38.5 + 1.75*1*38.5
ΔQ = ((0.325 + 0.624)*0.22 + 1.75*1)*38.5
ΔQ = 75.41 cal
Step 3: Calculate the calorie content for a 65 gram sample
For a 65g sample the calorie content will be more or less 4x higher than a 15 gram sample:
ΔQ = 75.41 * (65/15) = 326.78 cal
The calorie content of 65 g of candy is [tex]\bold{3.26 \times 10^5\; kcal}[/tex].
What is a calorie?
A calorie can be said as the unit of measurement. The energy present in the food and drinks we consume can be calculated in calories.
Given,
Mass of the candy = 15.00 grams
Mass of the container = 0.325 kg
Mass of water = 1.75 kg
The mass of the aluminum calorimeter is mAl2 = 0.624 kg
The initial pressure is 15.0 °C
The final temperature of the system is = 53.5∘C
Let the specific heat capacity of aluminum is = 900
The specific heat capacity of water is = 4.186×103
Step 1: Now, we are asked to calculate the calorie of 65 g candy, to calculate this we have to calculate the heat capacity.
[tex]c =\dfrac {(0.325 kg+0.624 kg)\timesc900 Jkg\textdegree C\times (53.5\textdegree C-15\textdegree C)+1.75 kg\times 4186 Jkg\textdegree C\times (53.5\textdegree C-15\textdegreeC)}{0.015\; kg}}[/tex]
[tex]= 20994306.67\; J/kg\\\\= 20994.30667\; kJ/kg\\\\= 20994.30667\; kJ/kg\times\dfrac{0.239006 kcal/kg}{1 kJ/kg}\\\\= 5017765.259\; kcal/kg[/tex]
Step 2: Finally, the Calorie content of m = 65 g of candy can be calculated as follows:
[tex]\begin{falign}\\ Q & = mc\\\\& = 0.065 kg\times 5017765.259\; kcal/kg\\\\& = 326154.7418 kcal\\\\& = 3.26\times 10^5\; kcal \end{falign}[/tex]
Thus, the calorie of the candy is [tex]\bold{3.26\times 10^5\; kcal}[/tex]
Learn more about calories, here:
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