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 used by the AC in Eco mode, we need its operating time and power consumption.

The AC ran in Eco mode for 4 hours (from 2 PM to 6 PM).

In Eco mode, the AC consumes 1000 watts. Converting this to kilowatts:

Power consumption: 1000 watts = 1 kW

Next, we find the energy used by multiplying power by time:

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

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

Answer 2

The AC's total energy use in Normal mode is found by multiplying its operating time in that mode by its power consumption. Given:

• Normal mode power: 1200 watts
• Normal mode operation: 6 PM to 8 PM (2 hours)

First, convert power from watts to kilowatts:

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

Next, calculate the total energy used in Normal mode (in kilowatt-hours):

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

The AC consumed a total of 2.4 kWh in Normal mode.

Answer 3

This problem asks for the total energy used by the air conditioner (AC) while in Turbo mode. Here are the specifics:

• The AC uses 1500 watts of power in Turbo mode.
• The AC ran in Turbo mode for 2 hours, from 8 PM to 10 PM.

Energy consumption is calculated using the formula:

E (kWh) = Power (kW) × Time (hours)

• First, convert the power from watts to kilowatts: 1500 watts = 1.5 kW
• The AC was running for 2 hours.
• So, the total energy consumed in Turbo mode is: 1.5 kW × 2 hours = 3 kWh

Upon reviewing the provided details, the given option of 0.5 kWh appears incorrect. This likely represents energy consumption for a different time period or is a result of a previous error in the information provided.

Answer 4

To calculate the AC unit's total energy consumption over 8 hours, we'll find the energy used in each mode and add them. Power is given in watts, so we'll convert energy to kilowatt-hours (kWh). Remember, 1 kWh = 1000 watt-hours. The AC 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)

Energy consumed in each mode is found by multiplying power by duration and converting to kWh:

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 the energy used in each mode:

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

However, the provided answer options suggest 6.9 kWh. Please check the options or calculations for any discrepancies.

Answer 5

To find the total cost of running the AC, we'll first calculate the total energy used in kilowatt-hours (kWh) for each mode. Then, we'll multiply that by the cost per kWh.

Step 1: Calculate Energy Used by Each Mode

• Eco Mode: The AC ran for 4 hours (2 PM to 6 PM) at 1 kilowatt (kW). Energy used = 1 kW × 4 hours = 4 kWh.
• Normal Mode: The AC ran for 2 hours (6 PM to 8 PM) at 1.2 kilowatts (kW). Energy used = 1.2 kW × 2 hours = 2.4 kWh.
• Turbo Mode: The AC ran for 2 hours (8 PM to 10 PM) at 1.5 kilowatts (kW). Energy used = 1.5 kW × 2 hours = 3 kWh.

Step 2: Calculate Total Energy Used

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

Step 3: Calculate Total Cost

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

Therefore, the total cost to run the AC yesterday was 75.2.