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

Question

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

Tardigrade Admin · Accepted Answer

Work done due to change in volume against constant pressure, W=-p(V2-V1) =-1× 105Nm-2(1× 10-2-1× 10-3)m3 =-900Nm=-900 J (1 Nm=1J)

Q. An ideal gas expands in volume from $1 \times 10^{- 3} m^{3}$ to $1 \times 10^{- 2} m^{3}$ at 300 K against a constant pressure of $1 \times 10^{5} N m^{- 2} .$ The work done is

$- 900 J$

$- 900 k J$

270 kJ

900 Kj

Work done due to change in volume against constant pressure, $W = - p (V_{2} - V_{1})$ $= - 1 \times 10^{5} N m^{- 2} (1 \times 10^{- 2} - 1 \times 10^{- 3}) m^{3}$ $= - 900 N m = - 900 J$ $(1 N m = 1 J)$

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

−900J

−900kJ