An ideal gas expands from the volume of $1\times10^{-3}\ \text{m}^3$ to $1\times10^{-2}\ \text{m}^3$ at 300 K against a constant pressure at $1\times10^{5}\ \text{Nm}^{-2}$. The work done is (a) – 900 J (b) 900 kJ (c) 270 kJ (d) – 900 kJ

An ideal gas expands from the volume of 1×10⁻³m³ to 1×10⁻²m³ at 300 K against a constant pressure at 1×10⁵Nm⁻²

Choose the Best Answer · Q7

1\times10^{-3}\ \text{m}^3

(a) – 900 J

(b) 900 kJ

(d) – 900 kJ

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Step 1. This is a single-step (irreversible) expansion against a constant external pressure, so $w=-P_{ext}\Delta V$ (Section ~7.2.6, work done BY the system on expansion is negative).

Step 2. $\Delta V=V_f-V_i=1\times10^{-2}-1\times10^{-3}=9\times10^{-3}\\ \text{m}^3$ . …

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Q.An ideal gas expands from the volume of $1\times10^{-3}\ \text{m}^3$ to $1\times10^{-2}\ \text{m}^3$ at 300 K against a constant pressure at $1\times10^{5}\ \text{Nm}^{-2}$ . The work done is

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Q.An ideal gas expands from the volume of 1×10−3 m31\times10^{-3}\ \text{m}^31×10−3 m3 to 1×10−2 m31\times10^{-2}\ \text{m}^31×10−2 m3 at 300 K against a constant pressure at 1×105 Nm−21\times10^{5}\ \text{Nm}^{-2}1×105 Nm−2. The work done is

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Q.An ideal gas expands from the volume of $1\times10^{-3}\ \text{m}^3$ to $1\times10^{-2}\ \text{m}^3$ at 300 K against a constant pressure at $1\times10^{5}\ \text{Nm}^{-2}$ . The work done is

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