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Oxana [17]
3 years ago
5

High-purity benzoic acid (C6H5COOH; ΔHrxn for combustion = −3227 kJ/mol) is used as a standard for calibrating bomb calorimeters

. A 1.221-g sample burns in a calorimeter (heat capacity = 1365 J/°C) that contains exactly 1.430 kg of water. What temperature change is observed?
Chemistry
1 answer:
melamori03 [73]3 years ago
3 0

Answer : The temperature change observed is 4.35^oC

Explanation :

First we have to calculate the heat released by the combustion of benzoic acid.

q=n\times \Delta H

where,

q = heat released by combustion of benzoic acid = ?

n = moles of benzoic acid = \frac{\text{Mass of benzoic acid}}{\text{Molar mass of benzoic acid}}=\frac{1.221g}{122.122g/mole}=0.0099mole

\Delta H = enthalpy of combustion = 3227 kJ/mole

Now put all the given values in the above formula, get:

q=(0.0099mole)\times (3227kJ/mole)=31.9473kJ=31947.3J

Now we have to calculate the heat absorbed.

Heat released by combustion = Heat absorbed by the calorimeter + Heat absorbed by the water

q=[q_1+q_2]

q=[c_1\times \Delta T+m_2\times c_2\times \Delta T]

where,

q = heat released by the combustion = 31947.3 J

q_1 = heat absorbed by the calorimeter

q_2 = heat absorbed by the water

c_1 = specific heat of calorimeter = 1365J/^oC

c_2 = specific heat of water = 4.18J/g^oC

m_2 = mass of water = 1.430 kg  = 1430 g

\Delta T = change in temperature = ?

Now put all the given values in the above formula, we get:

31947.3J=[(1365J/^oC\times \Delta T)+(1430g\times 4.18J/g^oC\times \Delta T)]

\Delta T=4.35^oC

Therefore, the temperature change observed is 4.35^oC

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