A beaker is filled to the 500-ml mark with alcohol. What increase in volume (in ml) does the beaker contain when the temperature changes from 5°C to 30°C? (Neglect the expansion of the beaker, evaporation of alcohol and absorption of water vapor by alcohol.) βalcohol = 1.12 × 10⁻⁴/°C

Question

Quizplus · Accepted Answer

We can use the formula ΔV = V0βΔT, where ΔV is the increase in volume, V0 is the initial volume (500 ml), β is the coefficient of volumetric expansion for alcohol (1.12 x 10^-4/°C), and ΔT is the change in temperature (30°C - 5°C = 25°C).
Substituting the values, we get:
ΔV = 500 ml x 1.12 x 10^-4/°C x 25°C = 1.4 ml
Therefore, the beaker contains an increase in volume of 1.4 ml when the temperature changes from 5°C to 30°C, which is closest to choice C (1.4).

A Beaker Is Filled to the 500-Ml Mark with Alcohol