To determine how long a 205W television set can be on before using more than 4 kWh of energy, let's break down the process step-by-step:
1. Understand the power consumption and energy usage:
- The television set consumes power at a rate of 205 watts.
- We want to find out how long it can be on before it uses more than 4 kilowatt-hours (kWh) of energy.
2. Conversion between kilowatt-hours and watt-hours:
- One kilowatt-hour (kWh) is equivalent to 1000 watt-hours (Wh).
- Therefore, 4 kWh is equivalent to [tex]\(4 \times 1000 = 4000\)[/tex] watt-hours.
3. Calculate the total number of hours that the TV can be on:
- The formula to find the duration (in hours) is:
[tex]\[
\text{Total hours} = \frac{\text{Total energy in watt-hours}}{\text{Power consumption in watts}}
\][/tex]
- Plugging in the given values:
[tex]\[
\text{Total hours} = \frac{4000 \text{ Wh}}{205 \text{ W}}
\][/tex]
- Performing the division gives approximately:
[tex]\[
\text{Total hours} = 19.51219512195122 \text{ hours}
\][/tex]
Therefore, a 205W television set can be on for approximately 19.51 hours before it uses more than 4 kWh of energy.
