A container made of steel, which has a coefficient of linear expansion 11 x 10-6 (°C)-1, has a volume of 46.0 gallons. The container is filled to the top with carbon tetrachloride, which has a coefficier of volume expansion of 5.8 x 10-4 (°C)-1, when the temperature is 10.0°C. If the temperature rises to 25.0°C, how much carbon tetrachloride (in gal) will spill over the edge of the container? 0.54 Note that both the liquid and the steel container will expand with higher temperature. What is the new total volume of the carbon tetrachloride? What is the new volume of the steel container? What is the difference in these volumes? How is the coefficient of volume expansion of a material related to its coefficient of linear expansion? gal

A container made of steel, which has a coefficient of linear expansion 11 x 10-6 (°C)-1, has a volume of 46.0 gallons. The container is filled to the top with carbon tetrachloride, which has a coefficier of volume expansion of 5.8 x 10-4 (°C)-1, when the temperature is 10.0°C. If the temperature rises to 25.0°C, how much carbon tetrachloride (in gal) will spill over the edge of the container? 0.54 Note that both the liquid and the steel container will expand with higher temperature. What is the new total volume of the carbon tetrachloride? What is the new volume of the steel container? What is the difference in these volumes? How is the coefficient of volume expansion of a material related to its coefficient of linear expansion? gal

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Temperature

Section: Chapter Questions

Problem 19.11OQ: The average coefficient of linear expansion of copper is 17 106 (C)1. The Statue of Liberty is 93...

See similar textbooks

Similar questions

The height of the Washington Monument is measured to be 170.00 m on a day when the temperature is 35.0 . What will its height be on a day when the temperature falls to -10.0 ? Although the monument is made of limestone, assume that its coefficient of thermal expansion is the same as that of marble. Give your answer to five significant figures.
Two concrete spans that form a bridge of length L are placed end to end so that no room is allowed for expansion (Fig. P16.63a). If a temperature increase of T occurs, what is the height y to which the spans rise when they buckle (Fig. P16.63b)?
An underground gasoline tank can hold 1.00 103 gallons of gasoline at 52.0F. If the tank is being filled on a day when the outdoor temperature (and the gasoline in a tanker truck) is 95.0F, how many gallons from the truck can be poured into the tank? Assume the temperature of the gasoline quickly cools from 95.0F to 52.0F upon entering the tank.
The average coefficient of linear expansion of copper is 17 106 (C)1. The Statue of Liberty is 93 in tall on a summer morning when the temperature is 25C. Assume the copper plates covering the statue are mounted edge to edge without expansion joints and do not buckle or bind on the framework supporting them as the day grows hot. What is the order of magnitude of the statues increase in height? (a) 0.1 mm (b) 1 mm (c) 1 cm (d) 10 cm (e) 1 m
The rectangular plate shown in Figure P16.60 has an area Ai equal to w. If the temperature increases by T, each dimension increases according to Equation 16.4, where is the average coefficient of linear expansion. (a) Show that the increase in area is A = 2Ai T. (b) What approximation does this expression assume?
A copper rod is 2.93 m in length at 20.0 °C. What is the length of the rod if the temperature is raised to 120.0 °C? The coefficient of linear expansion of copper is 17 × 10–6/C°. Express your answer in mm (millimeter)
An aluminum measuring rod, which is correct at 5oC, measures a certain distance as 97.46 cm at 51oC. What is the correct length of the steel at the elevated temperature, give a coefficient of linear expansion for the aluminum rod of 22 x 10-6 oC-1. Express your answer in cm rounded to two decimal places (X.XX).
A bridge 159.0 m long is built of steel having a coefficient of expansion of 11.3 × 10-6/K. If it is built as a single, continuous structure, by how many centimeters will its length change between the coldest days (-25.0°C) and the hottest summer day (41.0°C)?
You’re heating a 1.0 m3 glass block, coefficient of volume expansion 1.0 ×10–5 °C–1,raising its temperature by 27°C. What is the final volume of the block?
Approximately how long should it take 9.8 kgkg of ice at O•C•C to melt when it is placed in a carefully sealed Styrofoam ice chest of dimensions 25 cmcm ×x 35 cmcm ×× 55 cmcm whose walls are 1.2 cmcm thick? Assume that the conductivity of Styrofoam is double that of air and that the outside temperature is 29 •CoC.
What is the increase in length of a steel girder that is 50.0 ft long at 40.00F when its temperature rises to 75.00F? The coefficient of linear expansion of steel is 0.67 x10-5/0F.
Steel rails 20m long are laid on a cold winter day at 14oF. How much space must be left between the rails to allow for expansion at a summer temperature of 104oF? Coefficient of Thermal Expansion: 2 x 10-8 [K-1] Specific Heat: 3347.20 [J/kg/K]