(A) The work done during the compression of a gas at constant pressure is given by the formula: $W = -P_{ext} \Delta V$.Given: $P_{ext} = 0.2 \ bar$,$

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(A) The work done during the compression of a gas at constant pressure is given by the formula: $W = -P_{ext} \Delta V$.Given: $P_{ext} = 0.2 \ bar$,$V_1 = 1 \ m^3$,$V_2 = 0.5 \ m^3$.$\Delta V = V_2 - V_1 = 0.5 \ m^3 - 1 \ m^3 = -0.5 \ m^3$.$W = -(0.2 \ bar) \times (-0.5 \ m^3) = 0.1 \ bar \cdot m^3$.Since $1 \ bar = 10^5 \ Pa$ and $1 \ Pa \cdot m^3 = 1 \ J$,then $1 \ bar \cdot m^3 = 10^5 \ J = 100 \ kJ$.Therefore,$W = 0.1 \times 100 \ kJ = 10 \ kJ$.

Class 11 Chemistry States of Matter Ideal gas equation and Related gas laws

Medium

An ideal gas is compressed from a volume of $1 \ m^3$ to $0.5 \ m^3$ at a constant pressure of $0.2 \ bar$. What is the value of work done on the gas during compression (in $kJ$)?

MHT CET 2022 All MHT CET

A
$10$
B
$201.0$
C
$497$
D
$190$

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An ideal gas is compressed from a volume of $1 \ m^3$ to $0.5 \ m^3$ at a constant pressure of $0.2 \ bar$. What is the value of work done on the gas during compression (in $kJ$)?

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