An empty LPG cylinder weighs $14.8 \mathrm{~kg}$. When full, it weighs $29.0 \mathrm{~kg}$ and shows a pressure of $3.47$ $\mathrm{atm}$. In the course of use at ambient temperature, the mass of the cylinder is reduced to $23.0 \mathrm{~kg}$. The final pressure inside of the cylinder is atm. (Nearest integer)
(Assume LPG of be an ideal gas)
Initial mass of gas $=29-14.8=14.2 \mathrm{Kg}$
mass of gas used $=29-23=6 \mathrm{Kg}$
gas left $=14.2-6=8.2 \mathrm{Kg}$
(1) $3.47 \times \mathrm{V}=\left(\frac{14.2 \times 10^{3}}{\mathrm{M}}\right) \times \mathrm{R} \times \mathrm{T}$
(2) $\mathrm{p} \times \mathrm{V}=\left(\frac{8.2 \times 10^{3}}{\mathrm{M}}\right) \times \mathrm{R} \times \mathrm{T}$
Divide :
$\frac{(1)}{(2)} \Rightarrow \frac{3.47}{\mathrm{P}}=\frac{14.2}{8.2}$
$P=2.003$
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,