in a factory 4 bulbs of 100w each and 5 fans of 110w each operate for 12 hours daily. calculate the units of electricity consumed. also find the total expenditure if 1 unit costs rs 2.50
Answers
Given,
In a factory;
Electrical power of each bulb = 100 watts
Total number of bulbs = 4
Electrical power of each fan = 110 watts
Total number of fans = 5
Total time of operation of the bulbs and fans= 12 hours per day
Cost of 1 electrical unit = Rs 2.50
To find,
Total units of energy consumed by the bulbs and fans per day along with the total expenditure.
Solution,
We can simply solve this numerical problem by using the following process:
Mathematically,
Power (P)
= Energy consumed (E) ÷ Time (T)
=> Energy consumed (E) = Power (P) x Time (T)
Now,
Total units of energy consumed in one day by each bulb
= Power (P) x Time (T)
= 100 W x 12 hours
= 1200 Wh = 1.2 kWh = 1.2 electrical units
( Since 1 kWh = 1 electrical unit )
Total units of energy consumed in one day by all 4 bulbs
= 1.2 electrical units x 4
= 4.8 electrical units.
Also,
Total units of energy consumed in one day by each fan
= Power (P) x Time (T)
= 110 W x 12 hours
= 1320 Wh
= 1.32 kWh = 1.32 electrical units
( Since 1 kWh = 1 electrical unit )
Total units of energy consumed in one day by all 5 fans
= 1.32 electrical units x 5
= 6.6 electrical units.
Now,
Total units of energy consumed by the bulbs and fans in the factory, per day
= units of energy consumed in one day by all 4 bulbs + units of energy consumed in one day by all 5 fans
= 4.8 electrical units + 6.6 electrical units
= 11.4 electrical units
Total expenditure for the bulbs and fans in the factory, per day
= total electrical units consumed x cost per unit
= 11.4 electrical units x Rs 2.50
= Rs. 28.5
Hence, a total of 11.4 electrical units of energy is consumed by the bulbs and fans in the factory, per day at an expenditure of Rs. 28.50.
The expenditure on energy daily is Rs 28.50
One unit of electricity equals 1 Kilowatt hour of power consumed.
It is given that light bulbs have power consumption of 100 Watt.
Therefore, total energy consumed by light bulbs = number of bulbs×Power
= 4×100
= 400 Watt
= 0.4 kWatt
Similarly, total power consumed by 5 fans
= 5×110
= 550 Watts
= 5 kWatt
Therefore, total energy consumed daily in one hour
= Power consumed by bulb + Power consumed by Fans
= 0.4 + 0.55
= 0.95 kWatt
It is given that factory is operated 12 hours a day. Calculating unit consumption daily,
Units Consumed Daily = Total Power used × Hours Operated
= 0.95 kWatt × 12 hours
= 11.4 kWatt hour or 11.4 units
Expenditure = Cost of 1 unit × Number of units
= Rs. 2.5 × 11.4
= Rs. 28.50