0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

# The atmospheric pressure at zero elevation is given as 1.01325×105 N/m2. What is the pressure at an elevation of 3 km? Given, molecular weight of air =28 g/mol and temperature of air is constant at 300 K. Also, acceleration due to gravity, g=10 m/s2.

A
0.64×105 N/m2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
105 N/m2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
0.7235×105 N/m2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
2×105 N/m2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is C 0.7235×105 N/m2Pressure variation of a gas at higher elevation is given by P=P0e⎛⎜⎝−mghRT⎞⎟⎠ .....(1) Given, Pressure at zero elevation (P0)=1.01325×105 N/m2 Molecular weight of gas (m)=28×10−3 kg/mol Temperature of gas (T)=300 K Height at which pressure is to be determined (h)=3000 m So, by substituting the given data in (1), P=1.01325×105×e⎛⎜⎝−28×10−3×10×30008.315×300⎞⎟⎠ =0.7235×105 N/m2 Thus, option (c) is the correct answer.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Van't Hoff Factor
CHEMISTRY
Watch in App
Explore more
Join BYJU'S Learning Program