1. Tardigrade
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  3. Chemistry
  4. A gas is allowed to expand in a well insulated container against a constant external pressure of 2.5 atm from an initial volume of 2.50 L to a final volume of 4.50 L. The change in internal energy Δ U of the gas in joules will be

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Q. A gas is allowed to expand in a well insulated container against a constant external pressure of $2.5\, atm$ from an initial volume of $2.50\, L$ to a final volume of $4.50\, L$. The change in internal energy $\Delta U$ of the gas in joules will be

NEETNEET 2017Thermodynamics

Solution:

$\Delta U = q + w$
For adiabatic process, $q=0$
$\therefore \Delta U = w$
$=- P \cdot \Delta V$
$=-2.5\, atm \times(4.5-2.5)\, L$
$=-2.5 \times 2\, L - atm$
$=-5 \times 101.3\, J$
$=-506.5\, J$
$ \approx-505\, J$