Waves And Sound Question 6
Question 6 - 2024 (31 Jan Shift 2)
The speed of sound in oxygen at S.T.P. will be approximately:
(Given, $\mathrm{R}=8.3 \mathrm{JK}^{-1}, \gamma=1.4$ )
(1) $310 \mathrm{~m} / \mathrm{s}$
(2) $333 \mathrm{~m} / \mathrm{s}$
(3) $341 \mathrm{~m} / \mathrm{s}$
(4) $325 \mathrm{~m} / \mathrm{s}$
Show Answer
Answer: (1)
Solution:
$\mathrm{v}=\sqrt{\frac{\gamma \mathrm{RT}}{\mathrm{M}}}=\sqrt{\frac{1.4 \times 8.3 \times 273}{32 \times 10^{-3}}}$
$=314.8541 \simeq 315 \mathrm{~m} / \mathrm{s}$
