A student cramming for their final exam heats up 0.500 L of cold coffee in a Pyrex carafe. The carafe is filled to the brim with the coffee and both are initially at 20.0°. Once the temperature of both the coffee and the carafe have risen to 95.0°C, how much coffee has spilled out? Given that the carafe is an isotropic solid, and that the coefficient of linear thermal expansion for Pyrex is: 3.3 x 106 K-¹ and that the coefficient of volume thermal expansion for water (coffee) is 207 x 106 K.¹.
Q: The active element of a certain laser is made of a glass rod 33.0 cm long and 1.20 cm in diameter.…
A: Given L=33 cm D=1.20 cm α=9*10-6C-1 △T=64oC a) Increase in length is given by △L=α…
Q: The band in the figure below is stainless steel (coefficient of linear expansion 17.3 x 10-6c-1,…
A:
Q: The van der Waals coefficients of monatomic neon gas are a = 0.02107 m6 Pa / mol2 and b = 17.09 ×…
A: Given: a=0.02107 m6 Pa mol-2b=17.09*106 m3 mol-1V1=25 L = 25*10-3 m3V2=75L=75*10-3m3 n = 1 mol
Q: Assume a person has lungs that can hold V = 4.9 L of air (at 1 atm), and their body temperature is…
A: The objective of the question is to find out the number of moles of air in the human lungs when they…
Q: A hollow copper (Pcu = 8.960 × 10³ kg/m³) spherical shell of mass m = 0.9280 kg floats in water with…
A: Given Data: Density of copper (ρCu) = 8.960×103 kg/m3.Mass of the shell (m) = 0.9280 kg.Temperature…
Q: An air bubble at the bottom of a lake 34.5 m deep has a volume of 1.00 cm3.If the temperature at the…
A: We are authorized to answer one problem at a time, since you have not mentioned which one you are…
Q: A diver at the bottom of a lake, where the water temperature is 4.0 °C, observes a bubble of gas…
A: The pressure of the gas bubble at the bottom of the lake is 5.1 x 105 Pa. The radius of the gas…
Q: The initial temperature of three moles of oxygen gas is 22.5°C, and its pressure is 8.00 atm. What…
A: Given data: Initial temperature (T1) = 22.5 °C Initial pressure (P1) = 8.00 atm Final pressure (P2)…
Q: When builders were constructing a sidewalk they forgot to include an expansion joint between two of…
A:
Q: Volumetric expansion coefficients of simple materials are often well cataloged. However, the thermal…
A:
Q: A solid steel cube is stored in a freezer, where the temperature is -20.0 °C. While the cube is in…
A: (a) Using linear thermal expansion Lf-LiLi=αLTf-TiTf=Lf-LiαLLi+Ti=1.75170 m-1.75050 m12.0×10-6…
Q: Two metal bars are made of invar and a third bar is made of aluminum. At 0°C, each of the three bars…
A:
Q: A space probe is far away from the Sun, or any other sources of energy. It is kept warm (so the…
A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…
Q: brass ring of diameter 10.00 cm at 19.3°C is heated and slipped over an aluminum rod of diameter…
A:
Q: Suppose that an ideal gas in a sealed metal container (so it has a fixed volume) has its temperature…
A: Given data: An ideal gas The volume of gas is fixed New temperature (T2) = 4.80 × T1 Required: The…
Q: The active element of a certain laser is made of a glass rod 28.0 cm long and 1.80 cm in diameter.…
A:
Q: The storage of radioactive waste is an important problem in the nuclear industry. One problem that…
A: Given waste coefficient of volume Vw =9.6×10^-4 Coefficient of metal Vm=4.1×10^-5. Given…
Q: A highway is made of concrete slabs that are 16.2 m long at 20.0°C. Expansion coefficient of…
A: The linear expansion in the length with temperature is given by the formula l=l0(1+α∆T)Where l0 is…
Q: The band in the figure below is stainless steel (coefficient of linear expansion = 17.3 ✕ 10−6°C−1;…
A:
Q: A hollow palladium (ρPd = 1.202 ✕ 104 kg/m3) spherical shell of mass m = 0.9020 kg floats in water…
A: Substituting the values will give,
Q: The Eiffel tower in Paris is made primarily of iron, whose coefficient of linear expansion is about…
A: Answer 0.132m taller is tower on a day when the temperature is34 °C Solution
Q: A tire is inflated to a gauge pressure of 2.00x10^5 Pa when the temperature is 20°C. Later in the…
A: SOlution: Given that Pg = 2x105 kPa T1=20 C+273=293 K T2 = 38 C +273 = 311K
Q: The active element of a certain laser is made of a glass rod 27.0 cm long and 1.70 cm in diameter.…
A:
Q: A container having a volume of 2.3 m3 holds 9 moles of helium gas at 192°C. If the helium behaves…
A: The average kinetic energy (KE) per particle in an ideal monoatomic gas at temperature T (in Kelvin)…
Q: The Concorde is 62 m long when its temperature is 23°C. In flight, the outer skin of this supersonic…
A: Given data: Length of the concorde (L) = 62 m Initial temperature (Ti ) = 23 °C Final temperature…
Q: When builders were constructing a sidewalk they forgot to include an expansion joint between two of…
A: The length of the segments is The initial temperature is The linear expansion coefficient is The…
Q: A steel rod is initially 1 meter long at a temperature of 20°C. Assuming that the expansion is…
A: Original length (L0) of the steel rod = 1 meter.Initial temperature (T0) of the steel rod = .Final…
Q: Some incandescent light bulbs are filled with argon, because it is an inert gas. An argon atom has…
A: Given value--- mass of gas = 6.63 × 10-26 kg. Temperature = 2350 K. We have to find--- What is…
Q: The active element of a certain laser is made of a glass rod 34.0 cm long and 1.20 cm in diameter.…
A: The length of the glass rod is L = 34.0 cm. The diameter D = 1.20 cm. The average coefficient of…
Q: A student cramming for their final exam heats up 0.500 L of cold coffee in a Pyrex carafe. The…
A: Given that: The volume of coffee is 0.500 L The initial temperature is 20°C The final temperature is…
Q: An ideal gas at 17.1 °C and a pressure of 1.96 x 105 Pa occupies a volume of 3.21 m. (a) How many…
A:
Q: Suppose that an ideal gas in a sealed metal container (so it has a fixed volume) has its temperature…
A: ideal gas in sealed container volume is fixed that is volume =constant ideal gas equation is PV=nRT…
Q: A Cooper telephone wire has essentially no sag between poles 68m apart on winter day when the…
A:
Q: The active element of a certain laser is made of a glass rod 27.0 cm long and 1.70 cm in diameter.…
A: Length of the glass rod is L = 27 cm =0.27 m Diameter of the rod is d = 1.70 cm Radius of the glass…
Q: At 20°C, a rod is exactly 20.05 cm long on a steel ruler. Both are placed in an oven at 270°C,…
A:
Q: For many purposes we can treat propane (C3H8) as an ideal gas at temperatures above its boiling…
A:
Q: Three moles of a monoatomic ideal gas are placed in a portable container with a volume of 3.80 x10-3…
A: Given , Temperature , T = 180 °C = 453 K Average kinetic energy per molecule = 32kbT , where kb is…
Q: Consider a wire with a cross-section A and a length L. The Young's modulus is given by: Y = LOF A ƏL…
A: Step 1: Given data :The wire is kept at a fixed length.Young's modulus : Y = \frac{L}{A} \left(…
Q: A highway is made of concrete slabs that are 12.2 m long at 20.0°C. Expansion coefficient of…
A:
Q: The active element of a certain laser is made of a glass rod 31.0 cm long and 1.60 cm in diameter.…
A: (a) Increase in length is given by : L= LT = (31 cm)*9×10-6*(64°c)= 0.018 cm
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- A 5.0 L steel gas can is filled to the brim with gasoline at 10°C. Taking into account the expansion of the gas can, how much gasoline spills out when the gas and the gas can both reach 25°C when left out in the sunshine on a summer day. Given that the gas can is an isotropic solid, and that the coefficient of linear thermal expansion for steel is: 11 × 10-6 K-¹ and that the coefficient of volume thermal expansion for gasoline is 0.90 × 10-³ K-¹.A cramming student warms 0.500 L of cold coffee in a Pyrex carafe. Full carafe of coffee at 20°F. How much coffee has spilled when the coffee and carafe reach 95°C? Given that the carafe is an isotropic solid, Pyrex has a linear thermal expansion coefficient of 3.3 x 10-6 K-1 and water (coffee) has 207 x 106 K-1.Problem 4: A student foolishly attempts to stop a steel bar, of length L = 1 m and at a temperature of 20ºC, from thermally expanding by attaching it to a wooden support with a nail at each end. Steel's Young's modulus is Y = 1.9 × 1011 N/m2 and it's linear thermal expansion coefficient is α = 12.3 × 10-61/C. Randomized VariablesY = 1.9 × 1011 N/m2α = 12.3 × 10-6 1/C I just need part C Part (a) Enter an expression, in terms of defined variables, for the stress, S, that each nail will need to sustain at a temperature Ts. S = Y α ( Ts - To ) Part (b) What is the value of the stress, in pascals, that develops due to a rise of temperature to 21ºC? S = 2337000 Part (c) Assuming the nails have a cross-sectional area of A = 10-5 m2 all of which is perpendicular to the stress force from the bar, what is the force acting on each due to that temperature rise?
- Older railroad tracks in the U.S. are made of Part A 12-m-long pieces of steel. When the tracks are laid, gaps are left between the sections to prevent buckling when the steel thermally expands. If a track is laid at 16° C, how large should the gaps be if the track is not to buckle when the temperature is as high as 50° C? The coefficient of linear expansion of soft steel is 1.1 × 10-5 °C-1. Express your answer with the appropriate units. HẢ .... Value %3D Submit Previous Answers Request AnswerOn a chilly 10°C day, you quickly take a deep breath—all your lungs can hold, 4.0 L. The air warms to your body temperature of 37°C. If the air starts at a pressure of 1.0 atm, and you hold the volume of your lungs constant (a good approximation) and the number of molecules in your lungs stays constant aswell (also a good approximation), what is the increase in pressure inside your lungs?A cramming student warms 0.500 L of cold coffee in a Pyrex carafe. Full carafe of coffee at 20°F. How much coffee has spilled when the coffee and carafe reach 95°C? Given that the carafe is an isotropic solid, Pyrex has a linear thermal expansion coefficient of 3.3 x 10-6 K-1 and water (coffee) has 207 x 106 K-1.
- A hollow aluminum cylinder 19.5 om deep has an internal capacity of 2.000 L at 21.0°C. It is completely filled with turpentine at 21.0°C. The turpentine and the aluminum cylinder are the slowly warmed together to 79.0°C. (The average linear expansion coefficient for aluminum is 24 x 10-c, and the average volume expansion coefficient for turpentine is 9.0 103) (a) How much turpentine overflows? cm³ (b) What is the volume of turpentine remaining in the cylinder at 79 0°C? (Give your answer to at least four significant figures) (c) If the combination with this amount of turpentine is then cooled back to 21.0°C, how far below the cylinder's rim does the turpentine's surface recede? omThank u! A steel rule is calibrated for measuring lengths at 20.00°C. The rule is used to measure the length of a Vycor glass brick: when both are at 20.00°C, the brick is found to be 30.90 cm long. If the rule and the brick are both at 85.00°C, what would be the length of the brick as measured by the rule? Coefficient of linear expansion a for steel is 12.0 x10^-6 K-1 and for glass (Vycor) is 0.750 x 10^-6 K^-1.A spherical shell has inner radius 3.00 cm and outer radius 7.00 cm. It is made of material with thermal conductivity k = 0.800 W/m - °C. The interior is maintained at tempera- ture 5°C and the exterior at 40°C. After an interval of time, the shell reaches a steady state with the temperature at each point within it remaining constant in time. (a) Explain why the rate of energy transfer P must be the same through each spherical surface, of radius r, within the shell and must satisfy dT_ dr 4rkr? (b) Next, prove that r0.07 r-2 dr 4 Tk Joos 40 dT = where Tis in degrees Celsius and ris in meters. (c) Find the rate of energy transfer through the shell. (d) Prove that dT = 1.84 Jo.03 | r? dr where Tis in degrees Celsius and r is in meters. (e) Find the temperature within the shell as a function of radius. (f) Find the temperature at r = 5.00 cm, halfway through the shell.