An ideal gas expands in volume from 1× 10-3 m3 to 1× 10- 2 m3 at 300 K against a constant pressure of 1× 105 Nm- 2 . The work done is

Question

An ideal gas expands in volume from 1× 10-3 m3 to 1× 10- 2 m3 at 300 K against a constant pressure of 1× 105 Nm- 2 . The work done is (A) -900 kJ (B) -900 J (C) 270 kJ (D) 940 kJ

Tardigrade Admin · Accepted Answer

Work done due to change in volume against constant pressure is given as follows W=-P(V2 - V1)=-1× 105 Nm- 2(1 × 1 0- 2 - 1 × 1 0- 3) m3 = -900 Nm = -900 J

Q. An ideal gas expands in volume from $1 \times 1 0^{- 3} m^{3}$ to $1 \times 1 0^{- 2} m^{3}$ at 300 K against a constant pressure of $1 \times 1 0^{5}$ $N m^{- 2}$ . The work done is

-900 kJ

-900 J

270 kJ

940 kJ

Work done due to change in volume against constant pressure is given as follows

$W = - P (V_{2} - V_{1}) = - 1 \times 1 0^{5}$ $N m^{- 2} (1 \times 1 0^{- 2} - 1 \times 1 0^{- 3})$ $m^{3}$

= -900 Nm

= -900 J

Q. An ideal gas expands in volume from 1×10−3m3 to 1×10−2m3 at 300 K against a constant pressure of 1×105 Nm−2 . The work done is