Question

find the speed of sound in air at 50 degree C and 70 dgree C (take speed of sound 332m/s)​

Answer 1

SOLUTION

TO DETERMINE

The speed of sound in air at 50°C and 70°C (take speed of sound 332m/s)

FORMULA TO BE IMPLEMENTED

We are aware of the formula that

$\sf{v(t) = v(0) + 0.6t}$

Where v(t) = Velocity of sound at t°C

v(0) = Velocity of sound at 0°C

EVALUATION

We know that

$\sf{v(t) = v(0) + 0.6t}$

Here it is given that speed of sound 332m/s

∴ v(0) = 332

So above equation reduces to

$\sf{v(t) = 332 + 0.6t \: \: \: - - - (1)}$

Speed at 50°C

∴ t = 50

$\sf{v(50) = 332 + 0.6 \times 50 }$

$\sf{ \implies \: v(50) = 332 + 30 }$

$\sf{ \implies \: v(50) = 362}$

So speed of sound at 50°C is 362 m/s

Speed at 70°C

∴ t = 70

$\sf{v(70) = 332 + 0.6 \times 70 }$

$\sf{ \implies \: v(70) = 332 + 42 }$

$\sf{ \implies \: v(70) = 374 }$

So speed of sound at 70°C is 374 m/s

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