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# If the temperature $T$ of a solid or liquid of volume $V$ is changed by an amount $\Delta T,$ then the volume will change by the amount $\Delta V=\beta V \Delta T,$...

## Question

###### If the temperature $T$ of a solid or liquid of volume $V$ is changed by an amount $\Delta T,$ then the volume will change by the amount $\Delta V=\beta V \Delta T,$ where $\beta$ is called the coefficient of volume expansion. For moderate changes in temperature $\beta$ is taken as constant. Suppose that a tank truck loads 4000 gallons of ethyl alcohol at a temperature of $35^{\circ} \mathrm{C}$ and delivers its load sometime later at a temperature of $15^{\circ} \mathrm{C} .$ Using $\beta=7.5 \t If the temperature$T$of a solid or liquid of volume$V$is changed by an amount$\Delta T,$then the volume will change by the amount$\Delta V=\beta V \Delta T,$where$\beta$is called the coefficient of volume expansion. For moderate changes in temperature$\beta$is taken as constant. Suppose that a tank truck loads 4000 gallons of ethyl alcohol at a temperature of$35^{\circ} \mathrm{C}$and delivers its load sometime later at a temperature of$15^{\circ} \mathrm{C} .$Using$\beta=7.5 \times 10^{-4} /^{\circ} \mathrm{C}$for ethyl alcohol, find the number of gallons delivered. ## Answers #### Similar Solved Questions 5 answers ##### Use spherical coordinates and integration t0 find the volume of the cap of a sphere of radius R with thickness h: See figure.Use the definition for the average value of a function over a region R Use spherical coordinates and integration t0 find the volume of the cap of a sphere of radius R with thickness h: See figure. 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