A home theatre 1000watt and 50watt are operated each day for 5 hoirs. After which they are kept in standby mode the power consumption in the standby mode is 5%. Calculate
1. The total energy consumed in the house for 30 days.
2. The cost of operating all the appliance for 30 days in kilowatt
1. Calculation for the home theatre:
Power consumption in active mode = 1000 watts
Power consumption in standby mode = 5% of 1000 watts = 50 watts
Energy consumption in active mode per day = 1000 watts x 5 hours = 5000 watt-hours = 5 kWh
Energy consumption in standby mode per day = 50 watts x 19 hours (24 hours - 5 hours active) = 950 watt-hours = 0.95 kWh
Total energy consumption for the home theatre per day = 5 kWh + 0.95 kWh = 5.95 kWh
Total energy consumption for the home theatre for 30 days = 5.95 kWh x 30 days = 178.5 kWh
Calculation for the 50-watt appliance:
Energy consumption in active mode per day = 50 watts x 5 hours = 250 watt-hours = 0.25 kWh
Energy consumption in standby mode per day = 50 watts x 19 hours = 950 watt-hours = 0.95 kWh
Total energy consumption for the 50-watt appliance per day = 0.25 kWh + 0.95 kWh = 1.2 kWh
Total energy consumption for the 50-watt appliance for 30 days = 1.2 kWh x 30 days = 36 kWh
Total energy consumption for both appliances for 30 days = 178.5 kWh + 36 kWh = 214.5 kWh
2. Cost of operating all appliances for 30 days:
Assuming the cost of electricity is $0.10 per kWh
Cost of operating all appliances for 30 days = 214.5 kWh x $0.10/kWh = $21.45
Therefore, the total energy consumed in the house for 30 days is 214.5 kWh and the cost of operating all the appliances for 30 days is $21.45.