A large vat contains 1.000 L of water at 20°C.What volume will this water occupy when it is heated up to 80°C? Water has a volume expansion coefficient of 210 × 10^-6 K^-1. A)1.600 L B)1.013 L C)0.987 L D)0.9987 L

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Quizplus · Accepted Answer

The volume change due to thermal expansion can be calculated using the formula: ΔV = βV₀ΔT, where ΔV is the change in volume, β is the volume expansion coefficient, V₀ is the initial volume, and ΔT is the change in temperature. Given β = 210 × 10^-6 K^-1, V₀ = 1.000 L, and ΔT = 80°C - 20°C = 60°C, ΔV = 210 × 10^-6 × 1.000 × 60 = 0.0126 L. Therefore, the final volume is V₀ + ΔV = 1.000 L + 0.0126 L = 1.0126 L, which rounds to 1.013 L.

A Large Vat Contains 1