uses about 1.04×10^4 kWh (kilowatt hours) of electricity a year. If a power station generates 2.496×10^10 kWh per year, how many households can it serve?
To solve this problem, we need to divide the total energy generated by the power station by the energy consumption of each household.
Total energy generated by the power station = 2.496×10^10 kWh
Energy consumption per household = 1.04×10^4 kWh
Number of households = Total energy generated / Energy consumption per household
Number of households = (2.496×10^10 kWh) / (1.04×10^4 kWh)
Number of households = (2.496/1.04) × (10^10/10^4)
Number of households = 2.4 × 10^6
Hence, the power station can serve approximately 2.4 × 10^6 households.
To find out how many households a power station can serve, we need to divide the total electricity generated by the power station by the electricity used by each household.
Given:
Total electricity generated by the power station per year = 2.496 × 10^10 kWh
Electricity used by a single household per year = 1.04 × 10^4 kWh
To calculate the number of households served by the power station, we divide the total electricity generated by the electricity used by each household:
Number of households = Total electricity generated / Electricity used per household
Plugging in the given values:
Number of households = (2.496 × 10^10 kWh) / (1.04 × 10^4 kWh)
To divide the exponential terms, we need to subtract the exponents:
Number of households = 2.496 × 10^10 / 1.04 × 10^4
Dividing the values:
Number of households = 2.4 × 10^(10-4)
Simplifying the exponent:
Number of households = 2.4 × 10^6
Therefore, the power station can serve approximately 2.4 million households.
To find out how many households a power station can serve, we need to determine how many kWh each household consumes and then divide the total power generated by the power station by the consumption of each household.
Given that one household uses about 1.04×10^4 kWh of electricity per year and the power station generates 2.496×10^10 kWh per year, we can calculate the number of households served using the following steps:
Step 1: Calculate the number of households a power station can serve using the formula:
Number of households = Total power generated / Power consumption per household
Step 2: Substitute the given values into the formula:
Number of households = (2.496×10^10 kWh) / (1.04×10^4 kWh)
Step 3: Simplify the expression:
Number of households = (2.496/1.04) x (10^10/10^4) (Since 10^10 divided by 10^4 equals 10^6)
Step 4: Calculate the division:
Number of households = 2.4 x 10^6
Therefore, the power station can serve approximately 2.4 million households.