Question

A certain household has consumed 250 units of energy during a month. How much energy is this in joules?

Answer 1

To solve this problem,we are going to use the concept of conversion of units from one system to another. Energy is the quantitative property which must be transferred from one object to another to perform work or to heat the object. Energy is the conserved quantity and follows the law of the conservation of energy.

Complete step by step answer:
Given that the Energy consumed by a certain household during the month –
$E = 250{\text{ units}}$
The unit of Energy is kilowatt hour. It is the most commonly used method for billing unit for energy delivered to consumers by the electric utilities.
We know that -
$1kwh = 3.6 \times {10^6}J$
Now, Energy consumed $E = 250$ units
Place the value of units in joules in the above equation –
$E = 250 \times 3.6 \times {10^6}J$
Simplify the above equation –
$E = 900 \times {10^6}J$
Simplifying the exponent of the term with the base ten
$E = 9 \times {10^8}J$

Hence, the energy consumed is $9 \times {10^8}$ joules during the month.

Additional information:
The unit of work (w) in the international systems of units is named in the honor of the English physicist James Prescott Joule as the joules. One joule can be defined as the amount of work done by the force of one Newton which displaces the body through the distance of one metre in the direction of the force applied.

Note: Remember the basic conversion ratios between the two or more terms. Apply it accordingly. Go through the basic MKS system, CGS system and SI units of all the physical quantities to correlate in further calculation.