The density of lead is 1.13 ✕ 104 kg/m3 at 20.0°C. Find its density (in kg/m3) at 146°C. (Use α = 29 ✕ 10−6 (°C)−1 for the coefficient of linear expansion. Give your answer to at least four significant figures.)

The density of lead is 1.13 ✕ 104 kg/m3 at 20.0°C. Find its density (in kg/m3) at 146°C. (Use α = 29 ✕ 10−6 (°C)−1 for the coefficient of linear expansion. Give your answer to at least four significant figures.)

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

See similar textbooks

Related questions

Q: The atmospheric pressure on the top of Mt. Everest is 0.333 atm and the average temperature is -25.0…

A: The ideal gas is an ideal concept where the force between the gas molecules is neglected and the…

Q: Calculate the number of moles and the number of molecules in 1.00 cm3 of an ideal gas at a pressure…

A: The ideal gas equation can be written as PV = nRT Where, P is the pressure of the ideal gas. V is…

Q: Steel expands 1 part in 100,000 for each 1 degree C increase in temperature. If the 1.5 km main span…

Q: Find the density of the air at 0 degree Celsius and 1.013 x 105 Pa. One mole of air may be assumed…

A: Given, P = 1.013 × 105 Pa = 0.999 atm n = 1 mole T = 00C = 273K R = 0.08206 L. atm /K.mol.…

Q: An aluminum canteen is initially filled with 597 cm of water at 0.00 °C. If the cantcen is not…

A: Write the given values with suitable variables.

Q: Find the number of moles of a certain ideal gas whose volume, temperature, and pressure are 3.00 L,…

A: Given: The volume is 3.00 L. The temperature is 25.0 C. The pressure is 2.00 atm.

Q: An aluminum cup of 140 cm³ capacity is completely filled with glycerin at 19°C. How much glycerin…

Q: A fan delivers 4 m^3 of air per second at 20 degrees Celsius and 1.2 bar. Assuming molecular weight…

A: Given- Temperature T=200=20+273=293 K Pressure P=1.25×105Pa Volume V=4 m3 We know that PV= mRT mass…

Q: A metal rod 50.0 cm long at 25.0 degrees C is heated to 75.0 degrees C the length of the rod is then…

Q: 3 R.Calculate the AS (J/K), if The temperature of 6 mole of an ideal gas is increased from 176 Kto…

A: Given : No.of moles, n = 6 Cv = (3/2)R Change in temperature, ΔT = 750-176 = 574 K

Q: A 120.0 cm rod X expands by 9.0 mm when heated from 0 °C to 90 °C. Calculate the coefficient of…

A: Given data: Original Length (L) = 120.0 cm Expansion in length (ΔL) = 9.0 mm = 0.90 cm Initial…

Q: At what temperature is the reading on a Fahrenheit scale twice the reading on a Celsius scale?…

A: Given: The reading of the Fahrenheit scale is twice of reading on the celsius scale.

Q: The area A of a rectangular plate is ab = 1.4 m². Its coefficient of linear expansion is a = 22 ×…

A: Solution-

Q: An expandable cylinder has its top connected to a spring with force constant 2.00 x 103 N/m (see…

A: Given data: The value of spring constant is k=2.00x103 N/m. The initial volume of the gas filled in…

Q: 35°C. Determine the error in measuring the distance due to the expansion of the rod. The coefficient…

A: When solids are heated there is a thermal linear expansion in them . Let the length of rod be L when…

Q: A tire is filled with air at 15 degree C to a gauge pressure of 230kPa. If the tire reaches a…

Q: Compute (a) the number of moles and (b) the number of molecules in 1.00 cm3 of an ideal gas at a…

Q: An aluminum cup of 63 cm³ capacity is completely filled with glycerin at 24°C. How much glycerin…

Q: If I have an unknown quantity of gas held at a temperature of 370 K in a container with a volume of…

A: Given that - Pressure Volume Temperature To Find - We have to determine the nuber of moles of the…

Q: What is the change in area (in cm?) of a 60.0 cm by 150 cm automobile windshield when the…

Q: An aluminum cup of 65 cm capacity is completely filled with glycerin at 21°C. How much glycerin will…

A: Given data: The volume of aluminum cup is V=65 cm3. The temperature of glycerin is t=21℃. The final…

Q: Show that the volume expansion coefficient of an ideal gas is b = 1/T, where T is the absolute…

Q: Two fluids have been poured into a calorimeter. After the state of thermal equilibrium has been…

Q: n ideal gas occupies a volume of 100cm^3 at 20°C and 100 Pa. Find the number of moles of gas in the…

A: Given The volume of gas is V=100 cm3=100×10-6 m3. The temperature of gas is T=20°C=20+273 K=293 K.…

Q: How many atoms of helium gas fill a balloon of diameter 17 cm at 35.0°C and 2.00 atm?

A: An ideal gas is the one in which the intermolecular separation is quite large and the intermolecular…

Q: A brass ring of diameter 10.00 cm at 22.3°C is heated and slipped over an aluminum rod of diameter…

A: Given Data: The diameter of brass ring is, db = 10 cm. The diameter of aluminium rod is, da = 10.01…

Q: Find the change in volume of an aluminum sphere with an initial radius of 12 cm when the sphere is…

Q: The pressure and the volume of four ideal gases. with the same number of molecules, are given below.…

A: Given data The number of molecules for all the gases is the same. The mathematical expression…

Q: What is the average distance between air molecules at standard temperature and pressure (0°C and 1…

A: Answer If you assume air is an ideal gas then one mole occupies V= nRT/P The density if air is very…

Q: What volume is occupied by 1 mole of an ideal gas at a pressure of 1.00 atm and a temperature of…

A: The expression for the required volume is,

Q: One mole of an ideal gas initially at a temperature of T; = 5.2°C undergoes an expansion at a…

A: Given data The initial temperature is Ti=5.2oC=278.2 K The pressure is P=1 atm=101325 N/m2 The final…

Q: A metal tank with a capacity of 1700 L is completely filled with ethanol when both the tank and the…

A: The volume of the metal tank=1700LLet us consider the tank to be a cube of side (1700L)13…

Q: The density of air at standard conditions (P = 1 atm and T = 20oC) is 1.28 kg/m3. At what pressure…

A: The ideal gas equation is, P1V1=NKBTP1Mρ1=NKBTsimilarly for new density P2Mρ2=NKBT

Q: The linear expansion is19x 10-6 Ko-1 so the coefficient of * volume expansion for Brass is 48x 10-6…

Q: An aluminum cup of 90 cm capacity is completely filled with glycerin at 20°C. How much glycerin will…

Q: Copper wire length of 250 meters in summer, where it is 40 degrees Celsius. How long is this wire in…

Q: A bicycle tire has a pressure of 7.00 X 105 N/m2 at a temperature of 18.0oC and contains 2.00 L of…

A: According to ideal gas law - PV=NkT Rearranging for number of atoms - N1=P1V1kT1 Given values -…

Q: A metal rod is 30.725 cm long at 10°C and 30.743 cm long at 65°C. What is the average coefficient of…

Q: The density of air at standard conditions (P = 1 atm and T = 20ºC) is 1.28 kg/m3 . At what pressure…

Q: Find the molar mass and the number of degrees of freedom of molecules in a gas if cV=0.65J/gK and…

A: Step 1It is given that

Concept explainers

Diatomic Gas

Molecule, is a collection of two or more atoms together (which constitute the smallest observable unit) into a pure material. There are some ways to represent the structure of a molecule. Factor symbols represent atoms in Lewis structures, and dots represent electrons that accompany them. A pair of mutual electrons (covalent bond) may be represented by a single dash. The ball-and-stick model depicts the spatial structure of the atoms better.

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A popular brand of cola contains 6.50 g of carbon dioxide dissolved in 1.00 L of soft drink. If the evaporating carbon dioxide is trapped in a cylinder at 1.00 atm and 20.0C, what volume does the gas occupy?
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
At what temperature is the average speed of carbon dioxide molecules ( M=44.0 g/mol) 510 m/s?
On a hot summer day, the density of air at atmospheric pressure at 35.0C is 1.1455 kg/m3. a. What is the number of moles contained in 1.00 m3 of an ideal gas at this temperature and pressure? b. Avogadros number of air molecules has a mass of 2.85 102 kg. What is the mass of 1.00 m3 of air? c. Does the value calculated in part (b) agree with the stated density of air at this temperature?
A known volume of ideal gas is contained in a cylinder fitted with a piston and held at constant pressure. If the temperature changes from 25oC to 150 oC, by what factor does the volume change? Volume increases or decreases?: By a factor of:
A tire is filled with air at 15 degree C to a gauge pressure of 230kPa. If the tire reaches a temperature of 38 degree C, what fraction of the original air must be removed if the original pressure of 230 kPa is to be maintained?
A glass tube of radius 0.80 cm contains liquid mercury to a depth of 64.0 cmat 12˚C. Find the depth of the mercury column at 100˚C. Assume that the linear expansion coefficient of the glass is 10x10-6 K-1and the linear expansion coefficient of mercury is 0.61x10-4 K-1.
2.80 mol of an ideal gas fills a spherical balloon with volume 2 065 cm3 and a temperature 296 K. The balloon undergoes an isothermal expansion such that the diameter changes by a factor 3. What is the new pressure of the gas?
Show that the volume expansion coefficient of an ideal gas is b = 1/T, where T is the absolute temperature.
How many atoms of helium gas fill a balloon of diameter 17 cm at 35.0°C and 2.00 atm?
Find the density of the air at 0 degree Celsius and 1.013 x 105 Pa. One mole of air may be assumed to be 79% nitrogen (M nitrogen=28.0g) and 21% oxygen (M oxygen = 32.0g)
A sphere of solid lead has a diameter of 2.540 cm at 30.00°C. The average coefficient of linear expansion for lead is 2.900 ✕ 10−5(°C−1). (a) Find the diameter of the sphere (in cm) when its temperature is raised to 80.00°C. (Round your answer to at least three decimal places.) (b) What temperature change (in °C) is required to increase its volume by 1.100%? °C