If a gas is compressed adiabatically by doing work of 150 J , the change in internal energy of the gas is

Question

If a gas is compressed adiabatically by doing work of 150 J , the change in internal energy of the gas is (A)  100 J  (B)  150 J  (C)  200 J  (D)  250 J

Tardigrade Admin · Accepted Answer

Since the gas is compressed adiabatically, then dQ = 0 and dW = -150 J From first law of thermodynamics dQ = dU + dW ∴ dU = - dW = -(-150) = 150 J

Q. If a gas is compressed adiabatically by doing work of $150 J$ , the change in internal energy of the gas is

$100 J$

$150 J$

$200 J$

$250 J$

Since the gas is compressed adiabatically, then
$d Q = 0$ and $d W = - 150 J$
From first law of thermodynamics
$d Q = d U + d W$
$∴ d U = - d W = - (- 150) = 150 J$

Q. If a gas is compressed adiabatically by doing work of 150J , the change in internal energy of the gas is

100J

150J

200J

250J