Answered: Find the temperature in Kelvin at which…

Find the temperature in Kelvin at which the speed of sound in Helium is 316 m/s. Helium is an ideal monoatomic gas with a molar mass M = 4.003 g/mole and γ = 1.67

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Mechanical Waves

Section: Chapter Questions

Problem 9OQ

See similar textbooks

Related questions

Q: There are several ways to calculate the speed of sound c, in a gas, for example Y.R.T Cs M where y…

A: Given Molar mass M=28.97 g/mol M=28.97×10-3kg/mol Adiabatic coefficient γ=1.4 Gas constant R=8.3145…

Q: Which of the following samples will behave most like an ideal gas when contained in a 1.00 L…

A: Given volume and pressure of gas when contained is 1 L and 1 atm A gas behaves like an ideal gas in…

Q: At what frequency would the wavelength of sound in air beequal to the mean free path of oxygen…

A: It is given that

Q: A cylinder of diameter S, of height h, contains pure gas with equation PV = nRT at constant…

Q: What is the average translational kinetic energy of an ideal gas at 868 K? (The value of Boltzmann's…

A: Given data The temperature of the gas is given as T = 868 K. The Boltzmann's constant is given as k…

Q: In an isothermal process of a gas, the bulk modulus = 100 kPa. The pressure of this gas is equal *…

A: Given , The bulk modulus is 100 kPa

Q: An ideal gas occupies a volume of 1.6 cm3 at 20°C and atmospheric pressure. Determine the number o

A: Given:- The volume of the gas V=1.6 cm3 Temperature of the gas T= 20o C = 20+ 273.15 = 293.15 K…

Q: The speed of sound in the air is 343 m/sec at 20 degree C. If the temperature is doubl<;!d (at 40…

A: Given data The speed of the sound in air is va = 343 m/s. The temperature of the air is Ti = 20°C =…

Q: How many molecules of an ideal gas are there in 1.0 m3 at 1.0 Pa and and 100 °C? a) 1.0 × 1020 b)…

A: Given data: Volume (V) = 1.0 m3 Pressure (P) = 1.0 Pa Temperature (T) = 100 °C Required: Number of…

Q: 1. Determination of the Ideal Gas Constant "R" using Carbon Dioxide 10 °C Volume of plastic bag…

A: In this question we have to determine the Ideal Gas Constant "R" using Carbon Dioxide

Q: Suppose that an ideal gas in a sealed metal container (so it has a fixed volume) has its temperature…

A: Consider the initial temperature of the gas is T1 and the initial pressure of the gas is P1. The…

Q: A 20.0 L container is filled with helium and the pressure is 150 atm and the temperature is 30°C.…

Q: Which of the following describes a real gas better? A) gas particles repel each other B) all…

A: Ques: Which of the following describes a real gas better? A) gas particles repel each other B) all…

Q: By ideal gas law, the thermal pressure of a gas depends on A. number density of particles only. B.…

A: ideal gas law, the thermal pressure of a gas depends on A. number density of particles only. B.…

Q: An ideal gas is placed in a piston at 0°C under 1 atm pressure. How does the density of this gas…

Q: Inside a sphere of radius 12 cm are 8.0x10²³ gas molecules at a temperature of 50°C. What pressure…

A: we use PV=nRT. where n is the number of moles

Q: Two identical containers are filled with the same amount of helium. The temperature of the helium in…

Q: A cylinder contains 12 liters (4) of oxygen at20°C, and 15 atmospheres (atm.). The temperature is…

A: The initial temperature is 20°C, the temperature in kelvin is 20+273=293 K, The final temperature…

Q: Two containers are at the same temperature. The first contains gas with pressure p1, molecular mass…

Q: A gas flows through a square conduit. At one point along the conduit, the conduit sides are 0.100 m.…

A: Given: At one point along the conduit, the conduit sides are, a1 = 0.100 m, velocity, v1 = 7.55 m/s,…

Q: Find the density of air at 0°C and 1.013 x10^5 Pa. One mole of air may be assumed to be 79% nitrogen…

A: The percentage of the nitrogen =79% The percentage of oxygen =21% To find the density of air

Q: 27. A gas of mass 10 g is kept in a flask of volume 500 cm³ at a pressure of 2.0 x 10 Pa. What is…

Q: Consider an ideal gas with an absolute temperature of T1. To A) what temperature would the gas need…

Q: The volume of an ideal gas is held constant. Determine the ratio P2/P1 of the final pressure to the…

Q: The pressure of sulfur dioxide (SO2) is 2.44 x 104 Pa. There are 433 moles of this gas in a volume…

A: Given: The pressure of the gas is 2.44x104 Pa. The volume of the gas is 58.5 m3. The number of the…

Q: A gas occupies 4.50 L at 55.0°C. What is the temperature of the gas when its volume expands to 9.00…

Q: A mass m of helium gas is contained in a container of constant volume V, with a pressure P and…

Q: The speed of sound in an ideal gas (not air) is 750 m/s at -50°C. What is the speed of sound in the…

A: The speed of sound in an ideal gas is given as vsound=γRTMγ is the adiabatic constant ; γ=CPCVR is…

Q: At the same pressure, the ideal gas law is density x temperature = constant. An old house has only…

A: given at same pressure , density * temperature = constant t1= 20 degree C = 273+20= 293 K t2= ??…

Q: Consider air at P = 1.00 atm. The average molecular mass of air is approximately 29 u. Boltzmann…

Q: 2.97 moles of an ideal gas are placed in a container whose volume is 8.35 x10−3 m3. The absolute…

A: Given : n = 2.97 moles V = 8.35 x 10-3 m3 P = 7.2 x105 Pa

Q: The number density in a container of neon gas is 4.80×1025 m^−3. The atoms are moving with an rms…

Q: A cylinder contains 10 moles of Neon gas at 36.85 degree Centigrade temperature. The molar mas of…

Q: The atmosphere is composed primarily of nitrogen N2 178%2 and oxygen O2 121%2. (a) Is the rms speed…

Q: 1.88 moles of an ideal gas are placed in a container whose volume is 4.88 x10−3 m3. The absolute…

Q: A closed, rigid container with a given mass of helium gas is heated until the temperature is…

Q: A quantity of gas has initial pressure and volume of 0.1MN/m2 and 0.1 m3 , respectively. It is…

Q: Two moles of nitrogen gas are kept in a glass container at 400K. What is the total translational…

A: The formula of the total translational kinetic energy is K =32n R T where, n is the number of…

Q: In an isothermal process of a gas, the bulk modulus = 100 kPa. The pressure of this gas is equal *

A: Given data: The bulk modulus of a gas in an isothermal process is, β=100 kPa.

Q: 5. A gas with volume V, pressure P, and temperature T is inside a container with a moveable piston.…

A: Given Data: The final temperature of gas is quadrupled T2 = 4T1. The final volume is doubled V2 =…

Q: 17. An ideal gas is confined within a closed cylinder at a pressure of 2.026 x 10° Pa by a piston.…

A: Given that an ideal gas is confined within a closed cylinder.initial pressure of gas Pi =2.026×105…

Q: What is the ratio of the velocity of sounds in helium gas to that in air at the same pressure and…

Q: 2. A spherical balloon is made from a material whose mass is 2.90 kg. The thickness of the material…

A: Given data: Mass of the balloon material, m=2.90 kg Radius of the balloon, r=1.25 m Density of the…

Q: The difference between the root-mean-square speed and the most probable speed of helium molecules…

A: Given values:

Q: What is the temperature (in Kelvin) of a sample of neon with an rms speed of 500.0 m/s?

A: RMS speed depends on temperature . RMS speed of neon = 500.0 m/s Molecular weight of neon (M) =…

Q: A 2500cm^3 container holds 0.13 mol of helium gas at 300 degrees Celsius. How much work must be done…

A: Given Number of moles is n=0.13 Gas constant is R=8.314 J/mol.K Temperature is T=(300+273) K=573 K

Question

Find the temperature in Kelvin at which the speed of sound in Helium is 316 m/s. Helium is an ideal monoatomic gas with a molar mass M = 4.003 g/mole and γ = 1.67.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

At what frequency would the wavelength of sound in air beequal to the mean free path of oxygen molecules at 1.0 atm pressureand 0.00C? The molecular diameter is 3.0 * 10-8 cm.
On a hot summer day, the temperature of air in Arizona reaches 101°F. What is the speed of sound in air at this temperature? (The speed of sound at 0°C is 331 m/s. Use the conversion 0°C = 273 K as necessary.) m/s
A long tube contains air pressure of 1atm1atm and a temperature of 59oC. The tube is open at one end and closed at the other by a movable piston. A tuning fork near the open end is vibrating with a frequency of 500Hz. Resonance is produced when the piston is at distances 16cm,49.2cm and 82.4cm from open end. Molar mass of air is 28.8g/mol. Determine the speed of sound in air at 590C.
The accepted value for the speed of sound in dry air is 331.50 m/s at 0 °C. This speed increases by 0.607 m/s for each additional °C. Compute the accepted value for the speed of sound in air at a room temperature of 27 °C, also known as 300 K because T = 273.15 + t ( Here t is in degree Celsius).
At what temperature would the speed of sound in oxygen be same as that in hydrogen at 27 degree C . Given that at 0 degree C , their densities are in the ratio 8:1.
A monatomic ideal gas ( = 1.67) is contained within a box whose volume and pressure are 2.8 m3 and 2.7 × 105 Pa, respectively. The total mass of the gas is 3.0 kg. Find the speed of sound in the gas.
The coldest and hottest temperatures ever recorded in Bangladesh are 37.0°F (276 K) and 113.2°F (318 K), respectively. What is the speed of sound in air (in m/s) at each temperature? speed of sound at 37.0°F____________ m/s speed of sound at 113.2°F____________ m/s
On a hot summer day, the temperature of air in Arizona reaches 120°F. What is the speed of sound in air at this temperature? (The speed of sound at 0°C is 331 m/s. Use the conversion 0°C = 273 K as necessary.)
A 1 kg metal bar at 50°C is placed in a bucket of ice. How much of the ice will melt assuming no heat loss? (Specific hear capacity of the metal = 500 J kg-1 0C-1, latent heat of fusion of ice, Lf = 334kJ/kg)
What is the speed of sound in air that is 0 degress celsius (273.15K) ?
The titanium shell of an SR-71 airplane would expand when flying at a speed exceeding 3 times the speed of sound. If the skin of the plane is 400 degrees C and the linear coefficient of expansion for titanium is 5x10 -6 /C when flying at 3 times the speed of sound, how much would a 10-meter long (originally at 0C) rod portion (1-dimension) of the airplane expand?
The coldest and hottest temperatures ever recorded in Cuba are 33.1 degrees Fahrenheight (312 K), respectively, What is the speed of sound in air (in m/s) at each temperature? (a) speed of sound at 33.1 degrees Fahrenheight (m/s) (b) speed of sound at 101.8 degrees Fahrenheight (m/s)