Final answer:
The correct amount of energy required to heat 90 g of water from 22 degrees C to boiling exceeds the highest option given, which is 8276 J, indicating a possible misprint in the answer choices.
Step-by-step explanation:
Calculating the Energy Required to Heat Water
To determine the amount of energy needed to heat 90 g of water from 22 degrees C to boiling, we can use the equation for heat energy involving specific heat capacity:
Q = mcΔT, where:
- The given specific heat capacity of water is 4.18 J/g°C. To bring water to a boil, we assume we need to reach 100 degrees C. This means ΔT is 100°C - 22°C = 78°C.
Therefore, the heat energy required (Q) is calculated as follows:
Q = (90 g) × (4.18 J/g°C) × (78°C)
Q = 29358.6 J
Thus, Q is significantly higher than the highest option given (D) 8276 J, indicating a possible misprint in the provided options. The correct amount of energy in joules required to heat 90 g of water from 22 degrees C to a boil exceeds any of the provided choices.