The speed of sound in air is dependent on the temperature of the air. The relationship between the speed of sound and the temperature of the air can be given by the following formula:
v = v0 * sqrt(T/T0)
where v is the speed of sound at the given temperature, v0 is the speed of sound at a reference temperature T0, which is 273 K (0 °C) in this case, and T is the absolute temperature of the air in Kelvin.
Converting the given temperatures to Kelvin, we get:
T1 = 10 °C + 273 = 283 K
T2 = 32 °C + 273 = 305 K
Substituting the given values into the formula, we get:
v1 = 305 m/s * sqrt(283/273) = 331 m/s
v2 = 305 m/s * sqrt(305/273) = 348 m/s
Therefore, the speed of sound in air at 32 °C is 348 m/s (rounded to the nearest whole number).
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