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A student used the apparatus below to determine the molar heat of combustion of propanol - HSC - SSCE Chemistry - Question 13 - 2004 - Paper 1

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A student used the apparatus below to determine the molar heat of combustion of propanol. The following results were obtained: Mass of 1-propanol burnt = 0.60 g Ma... show full transcript

Worked Solution & Example Answer:A student used the apparatus below to determine the molar heat of combustion of propanol - HSC - SSCE Chemistry - Question 13 - 2004 - Paper 1

Step 1

Calculate the heat absorbed by the water

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Answer

First, we need to establish the relationship between the heat released by burning the propanol and the heat absorbed by the water.

Using the formula: q=mimescimesriangleTq = m imes c imes riangle T where:

  • qq = heat absorbed by the water
  • mm = mass of water (200 g)
  • cc = specific heat capacity of water (4.18 J g⁻¹ °C⁻¹)
  • T\triangle T = change in temperature (final temperature - initial temperature).

The heat released by burning 1-propanol is calculated using: qreleased=nimesΔHcombustionq_{released} = n imes \Delta H_{combustion} where:

  • nn = number of moles of 1-propanol burnt
  • ΔHcombustion\Delta H_{combustion} = molar heat of combustion (2021 kJ mol⁻¹).

First, calculate the number of moles of 1-propanol burnt: n=0.60g60.1gmol1=0.00995moln = \frac{0.60 g}{60.1 g mol⁻¹} = 0.00995 mol

Now calculate the heat released: qreleased=0.00995molimes2021kJmol1=20.11kJ=20110Jq_{released} = 0.00995 mol imes 2021 kJ mol^{-1} = 20.11 kJ = 20110 J

This heat is absorbed by the water.

Step 2

Calculate the final temperature of the water

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Answer

Now, we can substitute in the first equation to find the final temperature of the water.

We know: q=20110Jq = 20110 J m=200gm = 200 g c=4.18Jg1°C1c = 4.18 J g^{-1} °C^{-1}

Thus, 20110J=200gimes4.18Jg1°C1imes(Tfinal21.0°C)20110 J = 200 g imes 4.18 J g^{-1} °C^{-1} imes (T_{final} - 21.0°C)

Solving for TfinalT_{final}: Tfinal21.0°C=20110J200gimes4.18Jg1°C1T_{final} - 21.0°C = \frac{20110 J}{200 g imes 4.18 J g^{-1} °C^{-1}} Tfinal21.0°C=24.1°CT_{final} - 21.0°C = 24.1°C Tfinal=45.1°CT_{final} = 45.1°C

Since this value is approximated, it rounds to 45.2°C, which corresponds with option (C).

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