Q

# Answer please! A gas is compressed from a volume of 2 m3 to a volume of 1 m3 at a constant pressure of 100 N/m2. Then it is heated at constant volume by supplying 150 J. of energy. As a result, the internal energy of the gas :

A gas is compressed from a volume of 2 m3 to a volume of 1 m3 at a constant pressure of 100 N/m2. Then it is heated at constant volume by supplying 150 J. of energy. As a result, the internal energy of the gas :

• Option 1)

Increases by 250 J

• Option 2)

Decreases by 250 J

• Option 3)

Increases by 50 J

• Option 4)

Decreases by 50 J

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As we have learned

First law of Thermodynamics -

Heat imported to a body in is in general used to increase internal energy and work done against external pressure.

- wherein

$dQ= dU+dW$

$\Delta U = \Delta Q - W \\ \Delta Q = 150 J \\ W = P \Delta V = 100 N/m^2 (1 m^3 - 2 m^3 ) = - 100 J \\ \Delta V = 150 J - (-100J ) = 250 J$

U is increased by 250 J

Option 1)

Increases by 250 J

Option 2)

Decreases by 250 J

Option 3)

Increases by 50 J

Option 4)

Decreases by 50 J

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