1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Balloons of 4L capacity are to be filled with hydrogen at a pressure of 1 atm and 270C from an 8L cylinder containing hydrogen at 10 atm at the same temperature. The number of balloons that can be filled is:

A
20
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
18
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
40
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
38
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is A 20Given:Volume of balloons = 4 LPressure of Balloons = 1 atmVolume of cylinder = 8 LPressure of cylinder = 10 atmTemperature is same for both balloons and cylinder.Using ideal gas law, PV=nRTwhere,P = pressure, V = volume, T = temperature, n = number of moles, R = gas constantAt constant temperature, 'n' is directly proportional to the pressure and volume.n=PVNow we have to calculate moles of balloons and cylinder.For balloons :nb=1atm×4L=4For cylinder :nc=10atm×8L=80Now we have to calculate the number of balloons that can be filled.ncnb=804=20The number of balloons that can be filled = 20

Suggest Corrections
4
Join BYJU'S Learning Program
Related Videos
The Ideal Gas Equation
CHEMISTRY
Watch in App
Explore more
Join BYJU'S Learning Program