15 kg of gas is contained in a cylinder at a pressure of 2 x 107 N/m². The quantity of gas that should be taken out of the cylinder (while keeping temperature constant), such that the pressure becomes 2 x 106 N/m², is A) 10 Kg B) 12 kg C) 13.5 kg D) 15 kg
Answers
Answer:
The amount of gas that is taken out of the cylinder is 13.5kg.
Explanation:
Given:
, ,
To find:
Mass of gas taken out M
Formula:
P = ρgh
As the volume and height of the cylinder remain constant, and g is a gravitational constant, we get
P ∝ m
Step 1:
Substituting the given values in the above-derived formula.
is the mass of the gas left at pressure
Step 2:
Mass of gas taken out = Initial mass - Final mass
Therefore, 13.5kg of gas should be taken out of the cylinder so that the pressure becomes
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Answer:
The correct option is (C).
Explanation:
Given in the question
m1=15kg,P1=2x10^7N/m^2,P2=2x10^6N/m^2
mass of gas taken out M
P=ρgh
P=mgh/V
Volume &height of a cylinder is constant
g=gravitational constant,we get
P∝m
m2=m1x(P2/P1)
putting the values of m1,P1,P2 we get
m2=15x(2x10^6/2x10^7)
m2=15x10^-1
m2=1.5kg
m2=mass of the gas left
mass of gas taken out
M=m1-m2
M=15-1.5
M=13.5kg
So atlast 13.5kg of gas should be taken out of the cylinder so that the pressure becomes 2x10^6.N/m^2