The temperature at which spees of sound in air become double of its value? At 32 C?

The speed of sound in air is approximately 343 meters per second at 20 degrees Celsius.

To find the temperature at which the speed of sound in air becomes double its value, we can use the formula:

v = 331.5 + 0.6T

Where v is the speed of sound in meters per second and T is the temperature in degrees Celsius.

If the speed of sound becomes double its value, then:

2v = 331.5 + 0.6T

2(343) = 331.5 + 0.6T

686 = 331.5 + 0.6T

0.6T = 354.5

T = 590.83 degrees Celsius

Therefore, the temperature at which the speed of sound in air becomes double its value is approximately 590.83 degrees Celsius.

The speed of sound in air is given by:

$$ v = 331.5 + 0.6T $$

where v is the speed of sound in m/s and T is the temperature in degrees Celsius.

If the speed of sound is doubled, then:

$$ 2v = 331.5 + 0.6T $$

Solving for T, we get:

$$ T = \frac{2v - 331.5}{0.6} $$

At 32°C, the speed of sound is:

$$ v = 331.5 + 0.6(32) = 350.3 \ m/s $$

Therefore, the temperature at which the speed of sound in air becomes double of its value at 32°C is:

$$ T = \frac{2(350.3) - 331.5}{0.6} = \boxed{632.8 °C} $$