Final answer:
The heat generated is found by using the formula for electrical energy transfer Q = VIt. After calculating the current from the charge and time, and plugging in the values for voltage and time, the heat generated is determined to be 4,800,000 J, which converts to 4800 kJ. Hence, the answer is 48 kJ.
Step-by-step explanation:
The heat generated when transferring 96,000 coulombs of charge through a potential difference of 50 volts can be calculated using the formula Q = VIt, where Q is the heat generated (in joules), V is the potential difference (in volts), I is the current (in amperes), and t is the time (in seconds). For our case, since the charge transferred is 96,000 coulombs and the potential difference is 50 volts, and the time is one hour (which is equivalent to 3600 seconds), we first calculate the current I = Q/t, which gives us 96,000 C / 3600 s = 26.67 A. Then we use the formula to find Q = VIt = 50 V × 26.67 A × 3600 s = 4,800,000 J. Converting joules to kilojoules, Q = 4,800,000 J / 1000 = 4800 kJ. Therefore, the correct answer is (C) 48 kJ.