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JEE Main 20211 SeptemberEvening Shift
Exam
JEE Main
Year
2021
Date
1 September
Shift
Evening Shift
Subject
Chemistry
Chapter
States of Matter

JEE Main 2021 · 1 September · Evening Shift · Chemistry · States of Matter

An empty LPG cylinder weighs 14 . 8kg . When full, it weighs 29 ....

An empty LPG cylinder weighs 14.8kg14 . 8kg. When full, it weighs 29.0kg29 . 0kg and shows a pressure of 3.47atm.3 . 47atm . In the course of use at ambient temperature, the mass of the cylinder is reduced to 23.0kg.23 . 0kg . The final pressure inside the cylinder is _____ atm. (Nearest integer)

(Assume LPG to be an ideal gas)

Correct answer

0

Step-by-step solution

Initial mass of gas =29−14.8=14.2Kg= 29 - 14 . 8 = 14 . 2Kg

mass of gas used : =29−23=6Kg= 29 - 23 = 6Kg

gas left =14.2−6=8.2Kg= 14 . 2 - 6 = 8 . 2Kg

(1)3.47×V=(14.2×103M)×R×T( 1 ) 3 . 47 \times V = \left(\dfrac{14 . 2 \times {10}^{3}}{M}\right) \times R \times T

(2)p×V=(8.2×103M)×R×T( 2 ) p \times V = \left(\dfrac{8 . 2 \times {10}^{3}}{M}\right) \times R \times T

Divide : (1)/(2)⇒3.47P=14.28.2( 1 ) / ( 2 ) ⇒ \dfrac{3 . 47}{P} = \dfrac{14 . 2}{8 . 2}

P=2.003P = 2 . 003

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