In a calorimetry experiment 2.50 g of methane is burnt in excess oxygen. 30% of the

energy released during the combustion is absorbed by 500 g of water, the temperature of

which rises from 25°C to 68°C. The specific heat capacity of water is 4.184 J/g°C. What

is the total energy released per gram of methane burnt?

Respuesta :

The total energy released per gram of methane in the experiment is 119941.33 J/g

How to determine the change in the temperature of water

  • Initial temperature of water (T₁) = 25 °C
  • Final temperature of water (T₂) = 68 °C
  • Change in temperature (ΔT) = ?

Change in temperature (ΔT) = T₂ – T₁

Change in temperature (ΔT) = 68 – 25

Change in temperature (ΔT) = 43 °C

How to determine the heat absorbed by the water

The absorbed by the water can be obtained as illustrated below:

  • Mass of water (M) = s00 g
  • Change in temperature (ΔT) = 43 °C
  • Specific heat capacity of the water (C) = 4.184 J/gºC
  • Heat (Q) =?

Q = MCΔT

Q = 500 × 4.184 × 43

Q = 89956 J

How to determine the energy released by methane in the experiment

  • Heat absorbed by water = 89956 J
  • Percentage of heat absorbed by water = 30%
  • Heat released by methane =?

Heat absorbed by water = 30% of heat released by methane

89956 = 30% × heat released by methane

89956 = 0.3 × heat released by methane

Divide both sides by 0.3

Heat released by methane = 89956 / 0.3

Heat released by methane = 299853.33 J

How to determine the heat released per gram of methane

  • Heat released by methane (Q) = 299853.33 J
  • Mass of methane (m) = 2.5 g
  • Heat per gram (ΔH) =?

Q = m × ΔH

Divide both sides by m

ΔH = Q / m

ΔH = 299853.33 / 2.5

ΔH =119941.33 J/g

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