Final answer:
To find the heat transfer for thawing a 0.450-kg package of frozen vegetables with the heat of fusion equivalent to water, we multiply the mass in grams by the heat of fusion in kcal/gram, which results in approximately 36 kcal. This value does not match any of the provided options, indicating a possible mistake in the question.
Step-by-step explanation:
To calculate the heat transfer required to thaw a 0.450-kg package of frozen vegetables at 0°C, we use the heat of fusion for water, which is the same as what's being asked for in the vegetables. The heat of fusion for water is approximately 80 calories/gram or 0.080 kcal/gram. To find the total heat transfer, we multiply the mass of the vegetables in grams (450 grams for 0.450 kg) by the heat of fusion for water:
Heat transfer = mass (g) × heat of fusion (kcal/g)
Heat transfer = 450 g × 0.080 kcal/g
Heat transfer = 36 kcal
However, since we are looking for an answer in kilocalories and none of the choices match the calculated value, it suggests there is a typo in the options provided, or the heat of fusion provided is incorrect. In this scenario, an option closer to the calculated value should be chosen, but this is not available in the given options.
Therefore, based on the standard heat of fusion for water and the mass given, none of the options listed (a) 1.00 kcal, (b) 2.25 kcal, (c) 4.50 kcal, (d) 9.00 kcal correctly state the heat transfer required. The correct value should be close to 36 kcal assuming the heat of fusion is indeed the same as water's.