1. Tardigrade
  2. Question
  3. Chemistry
  4. One mole of an ideal monoatomic gas expands isothermally against constant external pressure of 1 atm from initial volume of 1 L to a state where its final pressure becomes equal to external pressure. If initial temperature of gas is 300 K then total entropy change of system in the above process is: [R=0.082 L atm mol -1 K -1=8.3 J mol -1 K -1]

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Q. One mole of an ideal monoatomic gas expands isothermally against constant external pressure of $1 \,atm$ from initial volume of $1 \, L$ to a state where its final pressure becomes equal to external pressure. If initial temperature of gas is $300 K$ then total entropy change of system in the above process is: $\left[R=0.082 \, L \,atm \, mol ^{-1} \,K ^{-1}=8.3 \,J \, mol ^{-1} \,K ^{-1}\right]$

Thermodynamics

Solution:

$\Delta S = nR \ell n \left(\frac{ V _{ f }}{ V _{ i }}\right)$
$= R \ell n \left(\frac{ P _{ i }}{ P _{ f }}\right)$
$= R \ell n \left(\frac{300 R }{1 L \times 1 atm }\right)$
$= R \ell n (24.6)$