A classical mechanics problem by Vivek Singh

Classical Mechanics Level pending

The temperature at which the velocity of sound in oxygen will be the same as that of nitrogen at 15 degree celsius is ? NOTE : IN DEGREE CELSIUS

112 17 72 56

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1 solution

Vivek Singh
Mar 24, 2014

According to Laplace correction of speed of sound ,

Speed of sound is directly proportional to square root of [ temperature / molecular mass]

According to this law : speed of nitrogen / speed of oxygen = 1

speed of nitrogen = square root of [ 288/28]

speed of oxygen = square root of [ T/32]

solving these 3 equation T = 329 K OR in degree celsius = 56

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