The RMS speed of a gas is 400 m/s. What is the speed of sound in the gas if the
Practice Questions
Q1
The RMS speed of a gas is 400 m/s. What is the speed of sound in the gas if the ratio of specific heats is 1.4?
400 m/s
560 m/s
700 m/s
800 m/s
Questions & Step-by-Step Solutions
The RMS speed of a gas is 400 m/s. What is the speed of sound in the gas if the ratio of specific heats is 1.4?
Step 1: Understand that the RMS speed of a gas is given as 400 m/s.
Step 2: Know that the ratio of specific heats (γ) is given as 1.4.
Step 3: Recall the relationship between the speed of sound (c) in a gas and the RMS speed (v_rms). For an ideal gas, c is approximately 1.4 times the RMS speed.
Step 4: Calculate the speed of sound using the formula: c = 1.4 * v_rms.
Step 5: Substitute the value of v_rms: c = 1.4 * 400 m/s.
Step 6: Perform the multiplication: c = 560 m/s.
Step 7: Conclude that the speed of sound in the gas is 560 m/s.
