1. Tardigrade
  2. Question
  3. Physics
  4. During the adiabatic expansion of 2 textm texto textl of an ideal gas, the increase in internal energy was found to be equal to (.-200 textJ.) . The work done by the gas during the process will be equal to

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. During the adiabatic expansion of $2 \, \text{m}\text{o}\text{l}$ of an ideal gas, the increase in internal energy was found to be equal to $\left(\right.-200 \, \text{J}\left.\right)$ . The work done by the gas during the process will be equal to

NTA AbhyasNTA Abhyas 2022

Solution:

According to first law of thermodynamics,
$\Delta Q=\Delta U+\Delta W$ ...(i)
Given, $\Delta U=-200 \, \text{J}$
$\Delta Q=0$ (due to adiabatic process)
Substituting in Equation (i), we get
$0=-200+\Delta W$
$\Longrightarrow \Delta W=200 \, \text{J}$