In a premise, 5 bulbs each of 100 W, 2 fans each of 60 W, 2 A.Cs each of 1.5 kW are used for 5h per day. Find:(a) total power consumed per day,(b) total power consumed in 30 days.(c) total electric energy consumed in 30 days.(d) the cost of electricity at the rate of Rs 6.25 per unit.
Question
In a premise, 5 bulbs each of 100 W, 2 fans each of 60 W, 2 A.Cs each of 1.5 kW are used for 5h per day. Find:(a) total power consumed per day,(b) total power consumed in 30 days.(c) total electric energy consumed in 30 days.(d) the cost of electricity at the rate of Rs 6.25 per unit.
Solution
(a) To find the total power consumed per day, we need to calculate the power consumed by each type of appliance and then add them up.
Power consumed by bulbs = 5 bulbs * 100 W/bulb = 500 W Power consumed by fans = 2 fans * 60 W/fan = 120 W Power consumed by A.Cs = 2 A.Cs * 1.5 kW/A.C = 3 kW = 3000 W
Total power consumed per day = Power consumed by bulbs + Power consumed by fans + Power consumed by A.Cs = 500 W + 120 W + 3000 W = 3620 W
Therefore, the total power consumed per day is 3620 W.
(b) To find the total power consumed in 30 days, we need to multiply the power consumed per day by the number of days.
Total power consumed in 30 days = Total power consumed per day * Number of days = 3620 W * 30 days = 108,600 W
Therefore, the total power consumed in 30 days is 108,600 W.
(c) To find the total electric energy consumed in 30 days, we need to convert the power consumed into energy by multiplying it by the time.
Total electric energy consumed in 30 days = Total power consumed in 30 days * Time = 108,600 W * 5 hours/day * 30 days = 16,290,000 Wh
Since 1 kWh = 1000 Wh, we can convert the energy into kilowatt-hours (kWh).
Total electric energy consumed in 30 days = 16,290,000 Wh / 1000 = 16,290 kWh
Therefore, the total electric energy consumed in 30 days is 16,290 kWh.
(d) To find the cost of electricity, we need to multiply the total electric energy consumed by the rate per unit.
Cost of electricity = Total electric energy consumed * Rate per unit = 16,290 kWh * Rs 6.25/kWh = Rs 101,812.50
Therefore, the cost of electricity at the rate of Rs 6.25 per unit is Rs 101,812.50.
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