A quantity of mercury occupies 400.0 cm³ at 0°C.What volume will it occupy when heated to 50°C? Mercury has a volume expansion coefficient of 180 × 10^-6 K^-1. A)450 cm³ B)409.7 cm³ C)403.6 cm³ D)401.8 cm³

Question

Quizplus · Accepted Answer

The volume at a new temperature can be calculated using the formula for thermal expansion: $V = V_0(1 + \beta\Delta T)$, where $V_0$ is the initial volume, $\beta$ is the volume expansion coefficient, and $\Delta T$ is the change in temperature. Plugging in the given values: $400.0 \, \text{cm}^3(1 + 180 \times 10^{-6} \times 50) = 400.0 \, \text{cm}^3(1 + 0.009) = 400.0 \, \text{cm}^3 \times 1.009 = 403.6 \, \text{cm}^3$.

A Quantity of Mercury Occupies 400