Question

The ratio of densities of nitrogen and oxygen is 14:16. The temperature at which the speed of sound in nitrogen will be the same as that in oxygen at 79°C is ______

Options

• 35°C

• 48°C

• 65°C

• 14°C

Answer 1

The ratio of densities of nitrogen and oxygen is 14:16. The temperature at which the speed of sound in nitrogen will be the same as that in oxygen at 79°C is 35°C.

Explanation:

v = `sqrt(Υ"RT")/"M"`

`"T"_"N"/"T"_0 = "M"_"N"/"M"_0`

`"T"_"N"/(273 + 79) = 14/16`

T_N = 308 K = 35°C