A student performs an experiment in measuring the period of a simple pendulum of known length 49.0 cm.He performed five trials a
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Answer:
The ratio of initial to final speed of sound is given as 1.28.
Explanation:
As per the thermodynamic relation of isentropic expansion
Here
is the pressure at point 1 which is given as 2.2 MPa
is the temperature at point 1 which is given as 77 °C or 273+77=350K
is the pressure at point 1 which is given as 0.4 MPa
is the temperature at point 2 which is to be calculated
- k is the ratio of specific heats given as 1.4
Substituting values in the equation
As speed of sound c is given as
for initial to final values it is given as
As values of k and R is constant so the ratio is given as
Substituting values give
So the ratio of initial to final speed of sound is 1.28.
To develop this problem it is necessary to apply the concept related to the speed of sound waves in fluids.
By definition we know that the speed would be given by
Bulk modulus
Density of air
From the expression shown above we can realize that the speed of sound is <em>inversely proportional</em> to the fluid in which it is found, in this case the air. When the density increases, the speed of sound decreases and vice versa.
According to the statement then, if the density of the air decreases due to an increase in temperature, we can conclude that the speed of sound increases when the temperature increases. <u>They are directly proportional.</u>