At 0 Centigrade and 1.013 x 105 Newtons per square meter (normal. The speed of sound depends on several variables, but the only independent variable we need to calculate the speed of sound is the temperature of the air. Since, `v_(0) = 331 ms^(-1)` at C, v at any temperature in is `v=(331 0.60t)ms^(-1)` Thus, the speed of sound in air increases by `0.61 ms^(-1)` per degree celcius rise in temperature. In air, for instance, temperature and atmospheric pressure are significant factors. Let `v_(0)` be the speed of sound at temperature at C or 273 K and v be the speed of sound at any arbitrary temperature T (in kelvin), then `v/v_(0) = sqrt(T/273) = sqrt((273 +t)/273)` `v=v_(0)sqrt(1+t/273) -=v_(0)(1+t/546)` (using binomial expansion). I would like to know how the speed of sound in steel varies with temperature. The speed of sound in air given in equation `v_(A) = sqrt((B_(A)/rho)) = sqrt((gamma P)/rho) = sqrt(gamma v_(T))` cna be written as `v= sqrt((gamma P)/rho) = sqrt(gamma cT)`.(5) Since `v propto sqrt(T)`, the speed of sound varies directly to the square root of temperature in kelvin. (2) For a fixed mass m, density of the gas inversely varies with volume, i.e., `rho propto 1/V, V=m/rho`.(3) Substituting equation (3) in equation (2), we get `P/rho = cT`.(4) where c is constant. (The speed of sound in water is about 4 times faster than this). Table 14. Holly, The speed of sound through air is about 340 meters per second. On Earth, the atmosphere is composed of mostly diatomic nitrogen and oxygen, and the temperature depends on the altitude in a rather complex way. The speed of sound varies from planet to planet. At 100 C, the difference between the two scales (t68t90) is 0.026 C, resulting in a difference of 0.022 m/s for the speed of sound. For a given mass of a molecules, equation (1) can be written as `(PV)/T`= Constant. An analysis based on conservation of mass and momentum shows that the speed of sound a is equal to the square root of the ratio. Since temperature affects density, the speed of sound varies with the temperature of the medium through which it’s traveling to some extent, especially for gases. The Mach number depends on the speed of sound in the gas and the speed of sound depends on the type of gas and the temperature of the gas. Solution : Let us consider an ideal gas whose equation of state is PV = nRT …………(1) where, P is pressure, V is volume, T is temperature, n is number of mole and R is universal gas constant.
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