4.5 kg of fuel Pon complete combustion produced 180,000 kJ of heat while 4. 75 kg of fuel Q on complete combustion produced 190,000 kJ of heat. Which fuel has higher calorific value ?

Options

A. P
B. Q
C. Both have equal calorific value.
D. Cannot be predicted

Explanation

To determine which fuel has a higher calorific value, we need to calculate the calorific value for both fuels P and Q using the formula:

\[ \text{Calorific Value} = \frac{\text{Heat produced (kJ)}}{\text{Mass of fuel (kg)}} \]

### Step 1: Calculate the calorific value of fuel P
- Given:
- Heat produced by fuel P = 180,000 kJ
- Mass of fuel P = 4.5 kg

Using the formula:

\[ \text{Calorific Value of P} = \frac{180,000 \text{ kJ}}{4.5 \text{ kg}} \]

Calculating:

\[ \text{Calorific Value of P} = 40,000 \text{ kJ/kg} \]

### Step 2: Calculate the calorific value of fuel Q
- Given:
- Heat produced by fuel Q = 190,000 kJ
- Mass of fuel Q = 4.75 kg

Using the formula:

\[ \text{Calorific Value of Q} = \frac{190,000 \text{ kJ}}{4.75 \text{ kg}} \]

Calculating:

\[ \text{Calorific Value of Q} = 40,000 \text{ kJ/kg} \]

### Step 3: Compare the calorific values
- Calorific Value of P = 40,000 kJ/kg
- Calorific Value of Q = 40,000 kJ/kg

Both fuels have the same calorific value of 40,000 kJ/kg.

### Conclusion
Since both fuels P and Q have the same calorific value, neither fuel has a higher calorific value.

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