Science, asked by swatelitakki, 1 year ago

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

Answered by VineetaGara
22

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.

Answered by shilpa85475
4

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

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