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PROBLEMS WITH RADICAL EQUAITONS 1. As a jet aircraft exceeds the speed of sound, it sets up a shock wave that is heard as a sonic boom when broken close to the Earth. Scientists have learned that the speed of sound varies with the temperature of the air. formula for the speed of sound in km/h is s = 389 T , w m , where ; T equals temperature of the gas or air in degrees Kelvin s equals speed of sound m is the molecular mass of the gas or air in g/mol. a. What is the speed of sound at an altitude of 4.9 km, where the temperature is 256K, if the average molar mass of a normal air mixture is 28.8 g/mol? Show your steps and include a summary statement. (3 marks) b. What is the speed of sound in helium if the temperature is 300 K and the molar mass of helium is 4.0 g/mol? Show your steps ad include a summary statement. (3 marks) Note: This is why a person's voice sounds so funny after breathing helium from a balloon. c. Calculate the temperature at which the speed of sound in a normal air mixture is 1000 km/h if the molar mass of the air molecules is 28.8 g/mol. Show your steps and include a summary statement