An ideal gas is filled in the enclosed container. The gas is then compressed adiabatically. Identify which of following statement is correct about the gas ?

The internal energy of the gas increases

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Work is done by the gas

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Work is done on the gas

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The gas remains at a constant temperature

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The temperature of the gas decreases

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Solution

The correct option is C Work is done on the gas
Work done in a thermodynamic process is given by ,
$W = P (V_{2} - V_{1})$
where $P =$ pressure of gas , $V_{1} =$ initial volume of gas and $V_{2} =$ final volume of gas ,
now, as the gas is compressed , so $V_{2} < V_{1}$ ,
therefore work done $W$ will be negative , which means work is done on the gas.

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