The heat produced on complete combustion of 10 g of a fuel could raise the temperature of 2-5 kg of water from 40- C to80- C- Calculate the calorific value of fuel- if the specific heat capacity of water was 4-2 J-g- C-

Mass of the fuel, M = 10 g Mass of the water, m = 2.5 kg = 2.5 × nbsp; 10^3 g Change in temperature, Δ T = (80 – 40)^∘ C = 40^∘ C Specific heat, s = 4.2 J/ ...

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Standard X

Physics

Conventional Sources of Energy

The heat prod...

Question

The heat produced on complete combustion of 10 g of a fuel could raise the temperature of 2.5 kg of water from $40^{\circ} C$ to $80^{\circ} C$ . Calculate the calorific value of fuel, if the specific heat capacity of water was $4.2 J / g^{\circ} C .$

84 k J / g

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42 k J / g

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21 k J / g

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42 J / g

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Solution

The correct option is B
$42 k J / g$
Mass of the fuel, M = 10 g

Mass of the water, m $= 2.5 k g = 2.5 \times 10^{3} g$

Change in temperature, $Δ T = (80 - 40)^{\circ} C = 40^{\circ} C$
Specific heat, $s = 4.2 J / g^{\circ} C$
Calorific Value $= \frac{m s Δ T}{M} = \frac{2.5 \times 10^{3} \times 4.2 \times 40}{10} = 42 \times 10^{3} J / g = 42 k J / g$

Hence, the correct answer is option (b).

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The heat produced on complete combustion of 10 g of a fuel could raise the temperature of 2.5 kg of water from 40∘C to80∘C. Calculate the calorific value of fuel, if the specific heat capacity of water was 4.2J/g∘C.

The correct option is B 42 kJ/gMass of the fuel, M = 10 g Mass of the water, m =2.5kg=2.5×103 g Change in temperature, ΔT=(80–40)∘C=40∘C Specific heat, s=4.2J/g∘C Calorific Value =msΔTM=2.5×103×4.2×4010=42×103 J/g=42 kJ/g Hence, the correct answer is option (b).

The heat produced on complete combustion of 10 g of a fuel could raise the temperature of 2.5 kg of water from $40^{\circ} C$ to $80^{\circ} C$ . Calculate the calorific value of fuel, if the specific heat capacity of water was $4.2 J / g^{\circ} C .$