Two sealed, identical glass jars each contain (250 , mL ) of pure water. Jar 1 is…

PHYSICS · Multi-part · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

Two sealed, identical glass jars each contain 250 mL250\,\text{mL} of pure water. Jar 1 is kept at 4 ∘ ⁣C4\,^{\circ}\!\text{C}, while Jar 2 is warmed to 25 ∘ ⁣C25\,^{\circ}\!\text{C}. The mass of the water in each jar is measured with a laboratory balance that is precise to the nearest gram. Measured masses: • Jar 1 water mass: 250 g250\,\text{g} • Jar 2 water mass: 247 g247\,\text{g} Use these data to examine the validity of treating water as an incompressible fluid across the given temperature range. (a) Calculate the density of the water in each jar. (b) Determine the percent difference in density between the two samples. (c) A student claims that because the percent difference found in part (b) is small, water can always be treated as incompressible. Evaluate this claim by describing a physical scenario in which the density variation you calculated would produce a measurable or practically important effect.

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