Question

How many joules from 1 kwhr​

Answer 1

Answer:

• Solution: 1 kWh = 3.6 × 10⁶ J

Knowledge required:

• The energy used in one hour at the rate of 1 kW is called 1 kWh.

• Power is defined as the rate of doing work. The SI unit of power is J/s that is Watt.

Required solution:

${\sf{:\implies 1 kWh \: = 1 \: kW \times hr}}$

${\sf{:\implies 1 kWh \: = 1000 \: W \times 3600 \: sec}}$

${\sf{:\implies 1 kWh \: = 36,00,000 Ws}}$

${\sf{:\implies 1 kWh \: = 36 \times 1,00,000 \: Ws}}$

${\sf{:\implies 1 kWh \: = 3.6 \times 10,00,000 \: Ws}}$

${\sf{:\implies 1 kWh \: = 3.6 \times 10^6 \: Ws}}$

${\sf{:\implies 1 kWh \: = 3.6 \times 10^6 \: Joules}}$

Additional information:

$\begin{gathered}\boxed{\begin{array}{c}\\ {\pmb{\sf{Some \: formulas!}}} \\ \\ \sf \star \: Power \: = \dfrac{Work \: done}{Time} \\ \\ \sf \star \: Time \: = \dfrac{Work \: done}{Power} \\ \\ \sf \star \: Power \times Time = Work \: done \end{array}}\end{gathered}$

Power = Force × Speed too! How?

$:\implies \sf Power \: = \dfrac{Work \: done}{Time} \\ \\ :\implies \sf Power \: = \dfrac{Force \times displacement}{Time} \\ \\ :\implies \sf Power \: = Force \times Velocity \\ \\ {\pmb{\sf{Henceforth, \: derived!}}}$