Answer :
Final answer:
The energy transferred by the appliance is 34.5 kJ or 0.009583 kWh. If converted to electricity at a rate of 10 cents per kWh, the monetary value of this energy would be approximately 0.1 cents.
Explanation:
To calculate the energy transferred by an appliance using mains electricity at 230 volts when the charge is 150C, you can use the relationship between energy (E), charge (Q), and potential difference (V), which is given by E = QV. Substituting the given values, E = 150 C × 230 V, which equals 34500 joules. To convert these joules into kilojoules, you divide by 1000, which results in 34.5 kJ.
For part (a), to convert 34500 joules into kilowatt-hours (kWh), we use the conversion factor 1 kWh = 3.60 × 106 J. Therefore, the energy in kWh is 34500 J ÷ (3.60 × 106 J/kWh), which equals approximately 0.009583 kWh.
For part (b), to find out the monetary value if this energy is converted to electricity costing 10 cents per kWh, we multiply the energy in kWh by the cost per kWh: 0.009583 kWh × $0.10/kWh, which results in a value of approximately $0.0009583, or about 0.1 cents.
