Answered: Determine the increased volume of water…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Determine the increased volume of water in a beaker, which has 2.2 L of water, when temperature is elevated from 20 °F to 150°F. The coefficient of volume expansion for water is 2.10 x 104 1/°C. Show vour work.

Expert Solution

Step 1

To calculate the increased volume of water when the temperature of the water is increased.

Given:
Initial volume: $V_{0} = 2.2 L$
Initial temperature: $T_{0} = 20 °F$
Final temperature: $T_{f} = 150 °F$
Volume expansion coefficient: $α_{V} = 2.10 \times 10^{- 4} {°C}^{- 1}$
The

To calculate:
The final volume of the water: $V_{f}$

The Formula to calculate the thermal volume expansion is:
$\frac{Δ V}{V_{0}} = α_{V} Δ T$
where,
$Δ V$ is the expansion in the volume,
$V_{0}$ is the initial volume,
$α_{V}$ is the thermal volume expansion coefficient and
$Δ T$ is the change in temperature in $°C$

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