Why Newton's formula for speed of sound in gas fails? What is Laplace's correction? Write Newton Laplace formula for speed of sound in gas.

The Laplace’s formula for sound waves is -

Write the dimensional formula of speed.

Speed of sound in gas is proportional to

Write Newton's formula for the speed of sound in gases. Why and what correction was applied by Laplace in this formula ? Also deduce modified formula for speed of sound.

Write Newton's formula for the speed in a gas.Why and what correction was applied by Laplace in this formula?

According to laplace variation of speed of sound are