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Review. As a sound wave passes through a gas, the compressions are either so rapid or so far apart that thermal
where M is the molar mass. The speed of sound in a gas is given by Equation 16.35; use that equation and the definition of the bulk modulus from Section 12.4. (b) Compute the theoretical speed of sound in air at 20.0°C and state how it compares with the value in Table 16.1. Take M = 28.9 g/mol. (c) Show that the speed of sound in an ideal gas is
where m0 is the mass of one molecule. (d) Slate how the result in part (c) compares with the most probable, average, and rms molecular speeds.
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Chapter 20 Solutions
Physics:f/sci.+engrs.,ap Ed.
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- On a hot summer day, the temperature of air in Arizona reaches 103°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.)arrow_forward35. ssm The speed of a sound in a container of hydrogen at 201 K is 1220 m/s. What would be the speed of sound if the temperature were raised to 405 K? Assume that hydrogen behaves like an ideal gas.arrow_forwardCompute the molecular mass M of a gas for which y = 1.40 and in which the speed of sound is 1260 m/s at precisely 0°C.arrow_forward
- Q.2: Calculate the difference in the speeds of sound in air at -3°C, 60 cm pressure of mercury and 30°C, 75 cm pressure of mercury. The speed of sound in air at 0°C is 332 m/s.arrow_forwardThe 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).arrow_forwardA car that is about to enter a tunnel and is moving at a top speed of 50.0 [kph]. To signal that the car is coming, the car driver blows a horn, producing a sound of some frequency. At that time, the temperature of the air is about 20.0°C. What is the speed of sound in air at this temperature? If the sound is reflected back by a wall at the opening of the tunnel, what is the ratio of the incident frequency and the received frequency heard by the car driver?arrow_forward
- The speed of sound, cs, in a perfect gas of molar mass M is related to the ratio of heat capacities γ by cs = (γRT/M)1/2. Show that cs = (γp/ρ)1/2, where ρ is the mass density of the gas. Calculate the speed of sound in argon at 25 °C.arrow_forwardThe speed of sound in air is 331 m/s at atmospheric pressure and 0 Celsius. Suppose you put a electronic pinger in an air-tight glass jar and change the pressure of the air inside by a factor 1.6, while the volume, composition and temperature of the air remain the same. What speed would you measure for the sound inside the jar? Give your answer in m/s.arrow_forward
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