A musician finds that a simple pipe resonates with a fundamental standing wave of of 440Hz in a room at temperature 21 C. The musician then walks into another room where the air temperature seems uncomfortably high, and she decides to measure the temperature. She does not have a conventional thermometer with her but she does have a 440 Hz tuning fork. Playing the tuning fork and pipe together produces beats at 5.0 Hz. Speed of sound is given by: Vs = 331.4 + 0.6T, where T is the temperature in degrees Celsius.

i) Assuming the pipe itself does not expand significantly, calculate the sound velocity in the hot room.

ii) Find the temperature in the room.