Increase in temperature leads to an increase in the speed of sound. This phenomenon can be explained by understanding the relationship between temperature and the propagation of sound waves through a medium.

Speed of Sound and Temperature
The speed of sound is defined as the distance traveled by a sound wave in a given amount of time. It depends on various factors such as the density and elasticity of the medium through which the sound wave is traveling. In general, the speed of sound increases with an increase in temperature.

Effect of Temperature on Sound Waves
When sound waves propagate through a medium, they cause the molecules of the medium to vibrate. These vibrations create a pattern of compressions and rarefactions, which result in the transmission of sound. The speed at which these vibrations travel determines the speed of sound.

Explanation
When the temperature of a substance increases, the molecules within it gain kinetic energy and move more vigorously. This increased motion leads to a higher average speed of the molecules. As a result, the particles in the medium collide more frequently and transmit the vibrations faster. This increase in molecular motion results in an increase in the speed of sound.

Example:
For example, consider a gas-filled balloon. If the balloon is heated, the temperature of the gas inside increases. As a result, the speed of sound through the gas also increases. This can be observed by listening to the sound produced when the balloon is popped. The sound produced is higher in pitch and has a shorter duration compared to when the balloon is at a lower temperature.

Conclusion
In conclusion, the speed of sound increases with an increase in temperature. This is because an increase in temperature leads to an increase in the kinetic energy and motion of the particles in the medium, resulting in a faster transmission of sound vibrations.