Question

An electric heater rated 1200 W operates 2 hour per day. Find the cost of the energy required to operate it for 30 days at Rs 5.00 per unit

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Answer 1

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✺Answer:

♦️GiveN:

• Rated power of Heater = 1200 W
• Operates 2 hours per day.
• Cost of 1 unit is Rs. 5

♦️FinD:

• Cost of energy consumed in 30 days.

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✺Explanation of Q.

The question is based on power and energy consumed by a electrical appliance i.e electroc heater. The rated power and operating time is given. So, we have to find the energy consumed in 30 days, and then find energy in kWh(unit). Cost of 1 unit is also given, so we can easily find by using certain formulae.

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✺Concept used:

First of all, Power is the rate of work done or energy consumed or transformed. Energy is the capability of work done. The units of enrhy and work is same only.

So, Power =

$\large{ \boxed{ \rm{ \pink{ Power = \frac{ Energy \: consumed}{Time \: taken} }}}}$

The main motive to find the energy only, so from the above relation, we can say that

$\large{ \boxed{ \pink{ \rm{Energy = Power \times Time \: taken}}}}$

▶️ 1 unit in electric bill refers to the energy consumed in total in the unit kWh, Which is kilowatt-hour.

By using these formuale, we can find our required answer

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✺Solution:

Power of the heater = 1200 W = 1.2 kWh

Time taken per day = 2 hours

Total time taken in 30 days = 30×2 = 60 hours

Let's find total energy consumed

By using the above formula,

$\large{ \rm{ \rightarrow \: energy \: consumed = 1.2 \: kw \times 60 \: h}} \\ \\ \large{ \rm{ \rightarrow \: energy \: consumed = \boxed{ \rm{ \red{72 \: kwh}}}}}$

So, Total energy consumed = 72 kWh

Now, Finding cost,

Given 1 unit = Rs. 5

That means, 1 kWh = Rs. 5

Then total cost,

$\large{ \rm{ \rightarrow \: cost \: of \: 72 \: kwh = 72 \times 5}} \\ \\ \large{ \rm{\rightarrow \: total\: cost \:of \:energy { \boxed{ \red{ \rm{ = Rs.360}}}}}}$

Total cost of energy(heater) = Rs. 360

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Answer 2

Answer:

Power of the electric heater =1200

number of hours per day heater is used = 2

energy consumed per day = 1200×2

= 2400W

Total energy consumed in 30 days = 2400 × 30

7200W

72kW

72 units

Cost of energy = Total number of units × Rate

= 72×5

= Rs. 360