Physics, asked by irinelawrence4893, 1 year ago

At what temperature velocity of sound is double than that of at 0 c

Answers

Answered by rohitsahani1212345
1

The speed of the sound in air is given by the following relation

v=√yRT/M

Here,

y=adiabatic index

R=gas constant

T=temperature

M=molar mass(kg/mol)

therefore;

the speed of sound at To(=273k) will be............(i)

the speed of sound at unknown temperature T will be

v^1=√yRT^1/M

Hence,we know that v^1=2vo at temperature t^1

so 2vo=√yRT^1/M.............(ii)

by equating (1)&(2) we get/while solving further we get

To=(1/4)T/T=4To=4×273K

Thus,the temperature at which the speed of sound would be double is

T=1092K or T=819°C

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