If the temperature is raised by 1K from 300K the percentage change in the speed of sound in the gaseous mixture is (R=8.31 J mol -1 K -1) .

Question

If the temperature is raised by 1K from 300K the percentage change in the speed of sound in the gaseous mixture is (R=8.31 J mol -1 K -1) . (A) 0.167 % (B) 0.334 % (C) 1 % (D) 2 %

Tardigrade Admin · Accepted Answer

From, v=√(&gamma; R T/M) (Δ v/v)=(1/2)(Δ T/T) (Δ v/v)× 100=(1/2)((Δ T/T))× 100 =(1/2)× (1/300)× 100=0.167 %

Q. If the temperature is raised by $1 K$ from $300 K$ the percentage change in the speed of sound in the gaseous mixture is $(R = 8.31 J m o l^{- 1} K^{- 1})$ .

$0.167%$

$0.334%$

$1%$

$2%$

From, $v = \frac{γ RT}{M}$
$\frac{Δ v}{v} = \frac{1}{2} \frac{Δ T}{T}$
$\frac{Δ v}{v} \times 100 = \frac{1}{2} (\frac{Δ T}{T}) \times 100$
$= \frac{1}{2} \times \frac{1}{300} \times 100 = 0.167%$

Q. If the temperature is raised by 1K from 300K the percentage change in the speed of sound in the gaseous mixture is (R=8.31Jmol−1K−1) .

0.167%

0.334%

1%

2%