Question

An ideal gas expands from 1 × 10⁻³ m³ to 1 × 10⁻² m³ at 300 K against a constant external pressure of 1 × 10⁵ N m⁻², work done is ____________.

पर्याय

• −0.7 × 10³ J

• −9 × 10² J

• −9 × 10³ J

• −1 × 10³ J

Answer 1

An ideal gas expands from 1 × 10⁻³ m³ to 1 × 10⁻² m³ at 300 K against a constant external pressure of 1 × 10⁵ N m⁻², work done is −9 × 10² J.

Explanation:

V₁ = 1 × 10⁻³ m³ = 0.001 m³

V₂ = 1 × 10⁻² m³ = 0.01 m³

P_ex = 1 × 10⁵ N m⁻²

W = −P_ex (V₂ − V₁)

= −1 × 10⁵ (0.01 − 0.001)

= −0.009 × 10⁵ 

W = −9 × 10² J