(a) Starting from the definition of work done in a quasistatic process, derive an…

PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

(a) Starting from the definition of work done in a quasistatic process, derive an expression for the work done per mole when an ideal gas undergoes an isothermal change in volume from

V_i

V_f

. (b) A

6.6\,\text{g}

sample of nitrogen gas (molar mass

28\,\text{g\,mol}^{-1}

) expands isothermally from

1.5\,\text{L}

6.0\,\text{L}

. If the work done by the gas is

2.0\,\text{kJ}

, determine the absolute temperature of the gas. (Take

R = 8.314\,\text{J\,mol}^{-1}\text{K}^{-1}

.) (a) Starting from the definition of work done in a quasistatic process, derive an expression for the work done per mole when an ideal gas undergoes an isothermal change in volume from

V_i

V_f

. (b) A

6.6\,\text{g}

sample of nitrogen gas (molar mass

28\,\text{g\,mol}^{-1}

) expands isothermally from

1.5\,\text{L}

6.0\,\text{L}

. If the work done by the gas is

2.0\,\text{kJ}

, determine the absolute temperature of the gas. (Take

R = 8.314\,\text{J\,mol}^{-1}\text{K}^{-1}

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