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A very large container consists of an ideal gas. The speed of sound in the gas is x . When the pressure of the gas is doubled while keeping the temperature constant, the speed of sound now becomes y . What is the ratio of x to y ?

Options

  1. A1
  2. B2
  3. C2
  4. D4

Correct answer

A. 1

Step-by-step solution

The speed of sound in an ideal gas is given by the formula v = R T M . Since the temperature T is kept constant and the gas remains the same, the values of , R , T , and M are all constant. Therefore, the speed of sound is independent of the pressure of the gas as long as the temperature is constant. Alternatively, using v = P , when the pressure P is doubled at constant temperature, the density also doubles, keeping the ratio P constant. Thus, the new speed of sound y is equal to the initial speed of sound x . The

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