An ideal gas expands in volume from 1 × 10-3 m 3 to 1 × 10-2 m 3 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 m 3 to 1 × 10-2 m 3 at 300 K against a constant pressure of 1 × 105 Nm -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 volume against constant pressure: W=-P(V2-V1) =-1 × 10-5(1 × 10-2-1 × 10-3) =-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:

$- 900 J$

$- 900 k J$

$270 k J$

$900 k J$

Work done due to change volume against constant pressure:
$W = - P (V_{2} - V_{1})$
$= - 1 \times 1 0^{- 5} (1 \times 1 0^{- 2} - 1 \times 1 0^{- 3})$
$= - 900 N m$
$= - 900 J$

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

−900J

−900kJ

270kJ

900kJ