CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

Determine the change in volume of 6 litres of alcohol if the pressure is decreased from 200 cm of Hg to 75 cm of Hg.
[Velocity of sound in alcohol is 1280 m/s density of alcohol =0.81 gm/cc, density of Hg=13.6 gm/cc and g=981 cm/s2]

A
0.5 mL
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
0.75 mL
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
1 mL
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2 mL
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 0.75 mL
For propagation of sound in liquid v=(B/ρ) i.e. B=v2ρ
where B is bulk modulus of liquid, v is the velocity of sound, and ρ is the density of the liquid, here alchohol.
By definition B=VΔPΔV
So VΔPΔV=v2ρal
i.e. ΔV=V(ΔP)ρalv2
Here, ΔP=H2ρHggH1ρHgg=(75200)×13.6×981=1.667×106 dynes/cm2
So, ΔV=(6×103)(1.667×106)0.81×(1.280×105)2=0.75 cc=0.75 mL

flag
Suggest Corrections
thumbs-up
0
BNAT
mid-banner-image