Final answer:
When the temperature of the aluminum cup and glycerin inside increases, some glycerin will spill out of the cup. The amount of glycerin spilled can be calculated using the coefficient of volume expansion and the initial volume. In this case, approximately 0.06 mL of glycerin will spill out of the cup.
Step-by-step explanation:
When the temperature of the aluminum cup and glycerin inside increases from 21°C to 35°C, both the cup and glycerin expand. To find out how much glycerin will spill out of the cup, we need to calculate the change in volume. The change in volume can be determined using the coefficient of volume expansion (β) and the initial volume (V).
The formula for calculating the change in volume is:
∆V = V * β * ∆T
Plugging in the values:
V = 88 cm³ (given)
β = expansion coefficient of glycerin = 5.1 x 10-4 °C-1 (provided in reference)
∆T = change in temperature = 35°C - 21°C = 14°C
Substituting these values:
∆V = 88 cm³ * 5.1 x 10-4 °C-1 * 14°C = 0.0612 cm³ = 0.06 mL
Therefore, approximately 0.06 mL of glycerin will spill out of the cup.
Learn more about coefficient of volume expansion, change in volume, expansion of substances