Whether the manufacturer claims that its new dietetic dessert has fewer than 10 Calories per serving is correct or not is to be determined. Concept introduction: A calorimeter is a device that is employed to measure the heat absorbed or released by the system. A calorimeter is of two types: 1. Coffee cup calorimeter 2. Bomb calorimeter A bomb calorimeter is employed to determine the heat absorbed or released by the substance placed in the calorimeter at constant volume. A bomb calorimeter is generally used in case of combustion reactions. The heat lost by the reaction is gained by the calorimeter. − q rxn = q calorimeter Specific heat capacity ( c ) of a substance is the amount of heat needed to raise the temperature of 1 g of a substance by 1 K . The formula to calculate heat required is as follows: q = ( mass ) ( c ) ( Δ T ) . (1) Here, Δ T is the temperature difference. q is the heat released or absorbed. c is the specific heat capacity of the substance. The formula to calculate heat required in case of calorimeter is as follows: q calorimeter = ( C calorimeter ) ( Δ T calorimeter ) (2) Here, Δ T calorimeter is the temperature difference. q calorimeter is the heat released or absorbed by calorimeter. C calorimeter is the specific heat capacity of the calorimeter. At the constant volume, the value of heat ( q v ) is equal to internal energy ( Δ E ) . The formula to calculate Δ T of the system is as follows: Δ T = T Final − T Initial (3) The conversion factor to convert kcal into kJ is, 1 kcal = 4.184 kJ The conversion factor to convert nutritional calorie ( Calorie ) into kcal is, 1 Calorie = 1 kcal

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Chapter 6.3, Problem 6.7BFP

Interpretation Introduction

Interpretation:

Whether the manufacturer claims that its new dietetic dessert has fewer than $10 Calories$ per serving is correct or not is to be determined.

Concept introduction:

A calorimeter is a device that is employed to measure the heat absorbed or released by the system. A calorimeter is of two types:

1. Coffee cup calorimeter

2. Bomb calorimeter

A bomb calorimeter is employed to determine the heat absorbed or released by the substance placed in the calorimeter at constant volume. A bomb calorimeter is generally used in case of combustion reactions. The heat lost by the reaction is gained by the calorimeter.

$−qrxn=qcalorimeter$

Specific heat capacity $(c)$ of a substance is the amount of heat needed to raise the temperature of $1 g$ of a substance by $1 K$ . The formula to calculate heat required is as follows:

$q=(mass)(c)(ΔT)$ . (1)

Here,

$ΔT$ is the temperature difference.

$q$ is the heat released or absorbed.

$c$ is the specific heat capacity of the substance.

The formula to calculate heat required in case of calorimeter is as follows:

$qcalorimeter=(Ccalorimeter)(ΔTcalorimeter)$ (2)

Here,

$ΔTcalorimeter$ is the temperature difference.

$qcalorimeter$ is the heat released or absorbed by calorimeter.

$Ccalorimeter$ is the specific heat capacity of the calorimeter.

At the constant volume, the value of heat $(qv)$ is equal to internal energy $(ΔE)$ .

The formula to calculate $ΔT$ of the system is as follows:

$ΔT=TFinal−TInitial$ (3)

The conversion factor to convert $kcal$ into $kJ$ is,

$1 kcal=4.184 kJ$

The conversion factor to convert nutritional calorie $(Calorie)$ into $kcal$ is,

$1 Calorie=1 kcal$

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