In a mechanic shop where the temperature is 22 °C, a 1.55 L volume of gasoline needs to be transferred into a glass container. Unfortunately, that glass container has a volume of only 1.53 L, too small to fit all the gasoline. To what common temperature do we need to bring the gasoline (with volumetric expansion coefficient of 950 × 10−6 / °C) and the glass container (with volumetric expansion coefficient of 26 × 10−6 / °C) for the gasoline to just fit in the glass container?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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In a mechanic shop where the temperature is 22 °C, a 1.55 L volume of gasoline needs to be transferred into a glass container. Unfortunately, that glass container has a volume of only 1.53 L, too small to fit all the gasoline. To what common temperature do we need to bring the gasoline (with volumetric expansion coefficient of 950 × 10−6 / °C) and the glass container (with volumetric expansion coefficient of 26 × 10−6 / °C) for the gasoline to just fit in the glass container?

Answer:8 °C
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