An aluminum cup of 140 cm3 capacity is completely filled with glycerin at 19°C. How much glycerin will spill out of the cup if thetemperature of both the cup and glycerin is increased to 45°C? (The linear expansion coefficient of aluminum is 23 x 10-6 1/C°. Thecoefficient of volume expansion of glycerin is 5.1 × 10-4 1/Cº)NumberiUnits

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Answered: An aluminum cup of 140 cm³ capacity is…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter19: Temperature, Thermal Expansion And Gas Laws

Section: Chapter Questions

Problem 19PQ

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Similar questions

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 aluminum rod 0.500 m in length and with a cross-sectional area of 2.50 cm2 is inserted into a thermally insulated vessel containing liquid helium at 4.20 K. The rod is initially at 300 K. (a) If one-half of the rod is inserted into the helium, how many liters of helium boil off by the time the inserted half cools to 4.20 K? Assume the upper half does not yet cool. (b) If the circular surface of the upper end of the rod is maintained at 300 K, what is the approximate boil-off rate of liquid helium in liters per second after the lower half has reached 4.20 K? (Aluminum has thermal conductivity of 3 100 W/m K at 4.20 K; ignore its temperature variation. The density of liquid helium is 125 kg/m3.)
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?
At 25.0 m below the surface of the sea, where the temperature is 5.00C, a diver exhales an air bubble having a volume of 1.00 cm3. If the surface temperature of the sea is 20.0C, what is the volume of the bubble just before it breaks the surface?
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.
A 40.0-g projectile is launched by the expansion of hot gas in an arrangement shown in Figure P12.4a. The cross sectional area of the launch tube is 1.0 cm2, and the length that the projectile travels down the tube after starting from rest is 52 cm. As the gas expands, the pressure varies as shown in Figure P12.4b. The values for the initial pressure and volume are P1 = 11 105 Pa and Vi = 8.0 cm3 while the final values are Pf = 1.0 105 Pa and Vf = 8.0 cm3. Friction between the projectile and the launch tube is negligible, (a) If the projectile is launched into a vacuum, what is the speed of the projectile as it leaves the launch tube? (b) If instead the projectile is launched into air at a pressure of 1.0 105 Pa. what fraction of the work done by the expanding gas in the tube is spent by the projectile pushing air out of the way as it proceeds down tile tube?
An aluminum cup of 61 cm3 capacity is completely filled with glycerin at 22°C. How much glycerin will spill out of the cup if the temperature of both the cup and glycerin is increased to 41°C? (The linear expansion coefficient of aluminum is 23 × 10-6 1/C°. The coefficient of volume expansion of glycerin is 5.1 × 10-4 1/C°.)
The outer diameter of a glass jar and the inner diameter of its iron lid are both 760 mm at room temperature (20.0 ∘C). a)What will be the size of the mismatch between the lid and the jar if the lid is briefly held under hot water until its temperature rises to 57.5 ∘C, without changing the temperature of the glass? Use the coefficient of linear expansion for iron α=1.2×10−5K−1.
A 200cm3 glass flask is filled to the brim with mercury (βHg= 18 x 10-5 K-1) at 20°C. How much mercury overflows when the temperature of the system is raised to 100°C? The coefficient of linear expansion of the glass is 0.40 x 10-5 K-1 A. 2.2cm³ B. 2.7cm³ C. 2.9cm³ D. 2.5cm³
Aluminum has a density of 2.712 ✕ 103 kg/m3 at 0°C and an average linear expansion coefficient of 2.200 ✕ 10−5(°C−1). A 15.00 kg block of aluminum at 0°C is heated to 70.00°C. (a)What is the density (in kg/m3) of the aluminum block at 70.00°C? (Round your answer to at least four significant figures.) Answer- kg/m3 (b)What is the mass (in kg) of the aluminum block at 70.00°C? Answer- kg
An aluminum rod is 20.0 cm long at 20.0 °C and has a mass of 0.350 kg. If 10kJ of energy is added to the rod by heat, what is the change in length of the rod? For aluminum c = 880J/kg⁰C and the linear coefficient of expansion of aluminum is 24x10-6 °C-1.
The outer diameter of a glass jar and the inner diameter of its iron lid are both 760 mmmm at room temperature (20.0 ∘C). What will be the size of the mismatch between the lid and the jar if the lid is briefly held under hot water until its temperature rises to 62.5 ∘C, without changing the temperature of the glass? Use the coefficient of linear expansion for iron α= 1.2×10^−5 K^−1. Express answer in millimeters.

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