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4. a boy and his younger sister are at the zoo on a hot day. they each …

Question

  1. a boy and his younger sister are at the zoo on a hot day. they each buy a cold lemonade. the boy buys a large lemonade and his sister buys a small. they set their cups on a hot table and wait a while before they start drinking. when they finally begin to drink their lemonade, the girl complains that her drink is no longer cold. however, the brother states that his larger drink is still cold.

which of the following statements best explains why the boys drink is still cold, but the girls drink is not?
a. the large cup of lemonade has more particles and requires more energy from its surroundings to warm up.
b. the large cup of lemonade has more particles and requires less energy from its surroundings to warm up.
c. the small cup of lemonade has fewer particles and requires more energy from its surroundings to warm up.
d. both cups of lemonade require the same amount of energy from their surroundings to warm up to the same temperature.

Explanation:

Brief Explanations
  • Heat transfer occurs between the lemonade and its surroundings (the hot table).
  • The amount of heat (energy) required to change the temperature of a substance is related to the number of particles (mass) of that substance.
  • A larger volume (more particles) of lemonade (in the boy's cup) requires more energy to increase its temperature compared to a smaller volume (fewer particles) of lemonade (in the girl's cup).
  • So, the large cup of lemonade (with more particles) in the boy's case needs more energy from the surroundings (the hot table) to warm up, which is why it is still cold while the small cup (with fewer particles) in the girl's case has warmed up as it required less energy from the surroundings.

Answer:

A. The large cup of lemonade has more particles and requires more energy from its surroundings to warm up.