Final answer:
The velocity of sound is dependent on the temperature of the medium. As the temperature increases, so does the velocity of sound. To find the temperature at which the velocity of sound is increased by 50% compared to 27°C, we can use the relationship between temperature and velocity of sound.
Step-by-step explanation:
The velocity of sound is dependent on the temperature of the medium. As the temperature of a medium increases, the velocity of sound also increases. To find the temperature at which the velocity of sound is increased by 50% compared to 27°C, we can use the relationship between temperature and velocity of sound.
The speed of sound in air is approximately 331 m/s at 0°C. Assuming a linear relationship, we can calculate the increase in speed:
Percentage increase = (New speed - Original speed) / Original speed * 100
50% = (New speed - 331) / 331 * 100
Solving for the new speed, we find that the velocity of sound would be approximately 496.5 m/s at the temperature where the velocity is increased by 50%.