-->

Mechanical Properties Of Fluids

Question
CBSEENPH11018734

How does the velocity of sound change with temperature?

Solution

For one mole of gas, ideal gas equation is given by, 
                 PV equals RT 
rightwards double arrow          PM over straight rho equals RT 
rightwards double arrow             straight P over straight rho equals RT over straight M proportional to straight T 
Now the velocity of sound in gas at temperature T is, 
                               space space straight v equals square root of γP over straight rho end root
Since, straight P over straight rho proportional to straight T 
∴                             straight v proportional to square root of straight T 
Hence the velocity of sound in gases varies directly to the square root of temperature in Kelvin.