wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

To save on helium costs, a balloon is inflated with both helium and nitrogen gas. Between the two gases, the balloon can be inflated up to 8 liters in volume. The density of helium is 0.20 grams per liter, and the density of nitrogen is 1.30 grams per liter. The balloon must be filled so that the volumetric average density of the balloon is lower than that of air, which has a density of 1.20 grams per liter. Which of the following system of inequalities best describes how the balloon will be filled, if x represents the number of liters of helium and y represents the number of liters of nitrogen ?

A
{x+y>820x+130y>120
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
x+y=80.2x+1.30y2<1.20
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
x+y80.20(xx+y)+1.30(yx+y)<1.20
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
{x+y80.20x+1.30y<1.20
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B x+y80.20(xx+y)+1.30(yx+y)<1.20
A balloon is inflated with both helium and nitrogen gas. Between the two gases, the balloon can be inflated up to 8 liters in volume.
The density of helium is 0.20 grams per liter, and the density of nitrogen is 1.30 grams per liter.
The balloon must be filled so that the voluemetric average density of the balloon is lower than that of air, which has a density of 1.20 grams per liter.
If x represents the number of liters of helium and y represent the number of liters of nitrogen gas, then
x+y8.......(1) as per given
Then volumetric density of helium gas = 0.20(xx+y)
Then volumetric density of nitrogen gas = 1.30(yx+y)
Then 0.20(xx+y)+1.30(yx+y) <1.20........(2)

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Atmospheric Pressure
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon