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

### Question

What is the velocity of sound at 100 oC if the velocity of sound at 0 oC is 340ms -1?

A)
497m-1
B)
440m-1
C)
397m-1
D)
240m-1

## Discussion (2)

• Charles

100+273=373
0=273
Solution

340+373=713-273=440

• 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
$$V_1 = 397ms^{–1}$$