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A family consumes 40 kg. of fuel in 20 days. Calculate the average energy consumed per day (calorific value of fuel = 40 KJ/g).
- a)8 × 102 KJ
- b)8 × 104 KJ
- c)16 × 106 KJ
- d)16 × 104 KJ
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A family consumes 40 kg. of fuel in 20 days. Calculate the average en...
Mass of fuel consumed in
20 days = 40 kg. = 40000g.
Energy liberated by 1 g. of fuel
= 40 KJ.
Energy liberated by 40000 g. of fuel = 40 × 40000 KJ Average energy consumption
= (40 x 40000)/20 = 80000 K J
= 8 x 104 KJ
Most Upvoted Answer
A family consumes 40 kg. of fuel in 20 days. Calculate the average en...
Understanding the Problem
To calculate the average energy consumed per day by the family, we first need to determine the total amount of fuel consumed and then convert that into energy using the given calorific value.
Given Data
- Total fuel consumed: 40 kg
- Duration: 20 days
- Calorific value of fuel: 40 KJ/g
Conversion of Units
- Since the calorific value is given in KJ/g, we must convert the fuel from kg to g.
- 1 kg = 1000 g, therefore:
- 40 kg = 40,000 g
Total Energy Calculation
- Now, we can calculate the total energy produced by the fuel:
- Total energy (KJ) = Fuel (g) × Calorific value (KJ/g)
- Total energy = 40,000 g × 40 KJ/g
Calculating Total Energy
- Total energy = 1,600,000 KJ
Average Energy Per Day
- To find the average energy consumed per day, divide the total energy by the number of days:
- Average energy per day = Total energy / Days
- Average energy per day = 1,600,000 KJ / 20 days
- Average energy per day = 80,000 KJ
Final Answer
- The average energy consumed per day is 80,000 KJ, which can be expressed as:
- 80,000 KJ = 8 × 10^4 KJ
Thus, the correct answer is option 'B' (8 × 10^4 KJ).
To calculate the average energy consumed per day by the family, we first need to determine the total amount of fuel consumed and then convert that into energy using the given calorific value.
Given Data
- Total fuel consumed: 40 kg
- Duration: 20 days
- Calorific value of fuel: 40 KJ/g
Conversion of Units
- Since the calorific value is given in KJ/g, we must convert the fuel from kg to g.
- 1 kg = 1000 g, therefore:
- 40 kg = 40,000 g
Total Energy Calculation
- Now, we can calculate the total energy produced by the fuel:
- Total energy (KJ) = Fuel (g) × Calorific value (KJ/g)
- Total energy = 40,000 g × 40 KJ/g
Calculating Total Energy
- Total energy = 1,600,000 KJ
Average Energy Per Day
- To find the average energy consumed per day, divide the total energy by the number of days:
- Average energy per day = Total energy / Days
- Average energy per day = 1,600,000 KJ / 20 days
- Average energy per day = 80,000 KJ
Final Answer
- The average energy consumed per day is 80,000 KJ, which can be expressed as:
- 80,000 KJ = 8 × 10^4 KJ
Thus, the correct answer is option 'B' (8 × 10^4 KJ).
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A family consumes 40 kg. of fuel in 20 days. Calculate the average energy consumed per day (calorific value of fuel = 40 KJ/g).a)8 × 102 KJb)8 × 104 KJc)16 × 106 KJd)16 × 104 KJCorrect answer is option 'B'. Can you explain this answer?
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