Question

What is the total energy consumed by the AC in Eco mode (in kilowatt-hours)?

• A. 4 kWh
• B. 0.4 kWh
• C. 40 kWh
• D. 0.04 kWh
• A. 2.4 kWh
• B. 24 kWh
• C. 0.24 kWh
• D. 240 kWh
• A. 5 kWh
• B. 0.5 kWh
• C. 50 kWh
• D. 0.05 kWh
• A. 6.9 kWh
• B. 69 kWh
• C. 0.69 kWh
• D. 690 kWh
• A. 55.2
• B. 552
• C. 5.52
• D. 5520

Answer 1

The Correct Option is A

To calculate the total energy consumed by the AC in Eco mode, we need to determine the duration the AC was operated in Eco mode and its power consumption.

The AC was operated in Eco mode from 2 PM to 6 PM, which is a total of 4 hours.

The power consumption in Eco mode is 1000 watts. To convert this into kilowatts, we divide by 1000:

Power consumption: 1000 watts = 1 kW

Now, we calculate the energy consumed by multiplying the power by the time:

Total Energy Consumed (kWh) = Power (kW) × Time (hours)

Total Energy Consumed in Eco Mode = 1 kW × 4 hours = 4 kWh

Answer 2

Total energy consumed by the AC in Normal mode is calculated by considering how long the AC operated in Normal mode and the power it consumed during that time. Given:

• Power consumption in Normal mode: 1200 watts
• Operation duration in Normal mode: From 6 PM to 8 PM (2 hours)

Convert power consumption from watts to kilowatts:

\[ \text{Power in kilowatts} = \frac{1200 \text{ watts}}{1000} = 1.2 \text{ kW} \]

Calculate total energy consumed in Normal mode (in kilowatt-hours):

\[ \text{Energy} = \text{Power (kW)} \times \text{Time (hours)} = 1.2 \text{ kW} \times 2 \text{ hours} = 2.4 \text{ kWh} \]

Therefore, the total energy consumed by the AC in Normal mode is 2.4 kWh.

Answer 3

The problem requires calculating the total energy consumed by the air conditioner (AC) when it was running in Turbo mode. The details are as follows:

• The Turbo mode power consumption is 1500 watts.
• The AC was in Turbo mode from 8 PM to 10 PM, which is a total time of 2 hours.

To find the energy consumption, we use the formula:

E (kWh) = Power (kW) × Time (hours)

• Convert the power from watts to kilowatts: 1500 watts = 1.5 kW
• The time in hours is 2 hours.
• Therefore, the energy consumed in Turbo mode is: 1.5 kW × 2 hours = 3 kWh

On reviewing the details given, the correct option for energy consumption is provided for another timeframe or by previous information mistake since the only closest match is 0.5 kWh.

Answer 4

To calculate the total energy consumption for the entire 8 hours of operation by the AC unit, we need to determine the energy used in each mode and then sum them up. The power consumptions given are in watts, so we will convert the energy used to kilowatt-hours (kWh). One kilowatt-hour is equal to 1000 watt-hours. The air conditioner operated as follows:

• Eco Mode: 1000 watts from 2 PM to 6 PM (4 hours)
• Normal Mode: 1200 watts from 6 PM to 8 PM (2 hours)
• Turbo Mode: 1500 watts from 8 PM to 10 PM (2 hours)

The energy consumed in each mode is calculated by multiplying the power consumption by the duration in hours, then converting to kilowatt-hours:

1. Eco Mode:
   
   Energy = 1000 watts × 4 hours = 4000 watt-hours = 4 kWh
2. Normal Mode:
   
   Energy = 1200 watts × 2 hours = 2400 watt-hours = 2.4 kWh
3. Turbo Mode:
   
   Energy = 1500 watts × 2 hours = 3000 watt-hours = 3 kWh

The total energy consumption is the sum of energies consumed in all modes:

Total Energy = 4 kWh + 2.4 kWh + 3 kWh = 9.4 kWh

However, upon reviewing the answer options, the correct answer seems to be identified as 6.9 kWh. Verify that there's a mistake in choices or calculation.

Answer 5

To determine the total cost of running the AC, we first need to calculate the total energy consumed in kilowatt-hours (kWh) for each mode of operation and then multiply this by the cost per kilowatt-hour.

Step 1: Calculate Energy Consumption 

• Eco Mode: The AC ran from 2 PM to 6 PM, a total of 4 hours. Power consumption is 1000 watts or 1 kilowatt (KW). Energy consumption = 1 KW × 4 hours = 4 kWh.
• Normal Mode: The AC ran from 6 PM to 8 PM, a total of 2 hours. Power consumption is 1200 watts or 1.2 kilowatts (KW). Energy consumption = 1.2 KW × 2 hours = 2.4 kWh.
• Turbo Mode: The AC ran from 8 PM to 10 PM, a total of 2 hours. Power consumption is 1500 watts or 1.5 kilowatts (KW). Energy consumption = 1.5 KW × 2 hours = 3 kWh.

Step 2: Total Energy Consumption

Total energy consumption = 4 kWh + 2.4 kWh + 3 kWh = 9.4 kWh.

Step 3: Calculate Total Cost

Total cost = Total energy consumption × Cost per kWh = 9.4 kWh × 8 = 75.2

Therefore, the total cost of running the AC yesterday is 75.2.