Question

At what temperature the speed of sound will be double of the speed at ${27}^{\circ }C$

• A. ${54}^{\circ }$
• B. ${108}^{\circ }$
• C. ${927}^{\circ }$
• D. ${327}^{\circ }$

Answer 1

Answer: (C)

${927}^{\circ }$

$V_T=\sqrt{\frac{\gamma RT}{M}}$, $T=273+t$,

$V_{300}=\sqrt{\frac{\gamma R\times 300}{M}}$

$\frac{V_T}{V_{300}}=\sqrt{\frac{T}{300}}=2$

$T=4\times 300=1200K$

$t=T-273=1200-273=927$ Celsius.

Option 'C' is correct.