Question
27. Assume that the cell battery in the circuit you drew puts out 9 V of electricity and the resistances of eachlight bulb is 1.5Q. Each light bulb is also a 9V bulb. 1. Using the rules of ohm's low for series circuits, determine the current (I) of each ligh bulb.Also determine the total resistance of the circuit. (4 morks) Givens: Required: Analysis: Substitution: Statement ii. Since you now know the total al volidge and current of this circuit, determine the Energy consumption of this circuit over 2 hours. Report your results in Wh. (2 mor Givens: Required: Analysis: Substitution: Statement 28. You are shopping for a new stove for your home. You find one with an Energy Star rating o 0.18/kWh how much would it cost you annually? (3 marks) kWh/year.If the cost of electricity in the evening, when this type of device is most often us Givens: Required: Analysis: Substitution: Statement CHEMISTRY (9 marks) -Neatly & clearly answer all questions in the space provided. Page 8 of 12
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**27. i. Light Bulb Calculations in a Series Circuit**<br /><br />* **Givens:**<br /> * Voltage (V) = 9V<br /> * Resistance per bulb (R) = 1.5 Ω<br /> * Number of bulbs = (Not specified in the question, assuming 2 for demonstration, adjust accordingly if different)<br /><br />* **Required:**<br /> * Current (I) through each bulb<br /> * Total resistance (R<sub>T</sub>)<br /><br />* **Analysis:**<br /> * In a series circuit, the total resistance is the sum of individual resistances: R<sub>T</sub> = R<sub>1</sub> + R<sub>2</sub> + ...<br /> * The current is the same through all components in a series circuit: I = V / R<sub>T</sub><br /> * Ohm's Law: V = IR<br /><br />* **Substitution:**<br /> * R<sub>T</sub> = 1.5 Ω + 1.5 Ω = 3 Ω (assuming two bulbs)<br /> * I = 9V / 3 Ω = 3A<br /><br />* **Statement:** The current through each light bulb is 3A, and the total resistance of the circuit is 3 Ω. (Adjust calculations if a different number of bulbs is specified in the original question).<br /><br /><br />**27. ii. Energy Consumption Calculation**<br /><br />* **Givens:**<br /> * Voltage (V) = 9V<br /> * Current (I) = 3A (calculated above)<br /> * Time (t) = 2 hours<br /><br />* **Required:**<br /> * Energy consumption (E) in Wh<br /><br />* **Analysis:**<br /> * Power (P) = VI<br /> * Energy (E) = Pt<br /><br />* **Substitution:**<br /> * P = 9V * 3A = 27W<br /> * E = 27W * 2h = 54Wh<br /><br />* **Statement:** The energy consumption of the circuit over 2 hours is 54 Wh.<br /><br /><br />**28. Annual Stove Cost Calculation**<br /><br />* **Givens:**<br /> * Energy consumption of stove = 877 kWh/year<br /> * Cost of electricity = $0.18/kWh<br /><br />* **Required:**<br /> * Annual cost of running the stove<br /><br />* **Analysis:**<br /> * Annual cost = Energy consumption * Cost per kWh<br /><br />* **Substitution:**<br /> * Annual cost = 877 kWh/year * $0.18/kWh = $157.86<br /><br />* **Statement:** The annual cost of running the stove would be $157.86.<br /><br /><br />**CHEMISTRY SECTION:** The prompt does not provide any chemistry questions. Please provide the chemistry questions you would like answered.<br />
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