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What is the velocity of sound at 100 oC if the velocity of sound at 0 oC is 340m...



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  • Charles

    100+273=373
    0=273
    Solution

    340+373=713-273=440

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  • Velocity [V] \( \alpha \)\( \sqrt{Temperature[T]} \)
    V = K\( \sqrt{T} \)
    K = \( \frac{V}{\sqrt{T}} \)
    The equation would be written as;
    \( \frac{V_1}{\sqrt{T_1}} = \frac{V_2}{\sqrt{T_2}} \)
    Initial velocity = [\( V_1 \)]
    Final velocity = [\( V_2 \)] = 340\( ms^{–1} \)
    Initial Temperature [\( T_1 \)] = 100°c = 373K
    Final Temperature[\( T_2 \)] = 0°c = 273K
    \( \frac{V_1}{\sqrt{373}} = \frac{340}{\sqrt{273}} \)
    \( \frac{V_1}{\sqrt{373}} = 20.58 \)
    \( V_1 \) = 20.58\( \sqrt{373} \)
    \( V_1 \) = 397.47
    \( V_1 = 397ms^{–1} \)