Question

The change in internal energy for the combustion of cyclohexanol (C6H12O) is -890.7 Kcal per mole. A .708 g sample of cyclohexanol undergoes complete combustion in a bomb calorimeter that has a heat capacity of 2.70 Kcal per degree C. What is the final temperature of the water in the calorimeter if the initial water temperature is 27C?

Answer 1

The final temperature in the calorimeter, with a heat capacity of 2.70 kcal/°C, internal energy for the combustion of cyclohexanol (C₆H₁₂O) of -890.7 kcal/mol and initial temperature of 27°C, is 29.33 °C.

We can find the final temperature of the water in the calorimeter with the following equation:

$\Delta E = -C\Delta T = -C(T_{f} - T_{i})$    (1)

Where:

ΔE: is the change in internal energy for the combustion of C₆H₁₂O = -890.7 Kcal/mol

C: is the heat capacity of the calorimeter = 2.70 Kcal/°C

$T_{f}$: is the final temperature =?

$T_{i}$: is the initial temperature = 27 °C

By solving equation (1) for $T_{f}$, we have:

$T_{f} = -\frac{\Delta E}{C} + T_{i}$

$T_{f} = -\frac{-890.7 \frac{kcal}{mol\: C_{6}H_{12}O}*\frac{1 mol \: C_{6}H_{12}O}{100.158 g \: C_{6}H_{12}O}*0.708 g \: C_{6}H_{12}O}{2.70 kcal/^{\circ}C} + 27 ^{\circ}C = 29.33 ^{\circ}C$  

Therefore, the final temperature of the water is 29.33 °C.

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https://brainly.com/question/15776016?referrer=searchResults  

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