A density bottle contains 44.25 g of a liquid at 0°C and 42.02 g at 50°C. The expansivity of the gla

Question

A density bottle contains 44.25 g of a liquid at 0°C and 42.02 g at 50°C. The expansivity of the glass is 1.00 x 10⁻⁵ K⁻¹. Calculate the real expansivity of the liquid.

Answer 1

A density bottle contains 44.25 g of a liquid at 0°C and 42.02 g at 50°C. The expansivity of the glass is 1.00 x 10⁻⁵ K⁻¹. Calculate the real expansivity of the liquid.

1.06 x 10⁻³ K⁻¹
1.07 x 10⁻³ K⁻¹ ✓
1.08 x 10⁻³ K⁻¹
1.09 x 10⁻³ K⁻¹

Explanation

Apparent expansivity = (mass lost) ÷ (mass left × temperature rise) = (44.25 − 42.02) ÷ (42.02 × 50) = 2.23 ÷ 2101 ≈ 1.06 × 10⁻³ K⁻¹.

The glass bottle also expands, so add its expansivity: 1.06 × 10⁻³ + 0.01 × 10⁻³ ≈ 1.07 × 10⁻³ K⁻¹.

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