One mole of a monoatomic ideal gas is initially at pressure and volume

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

One mole of a monoatomic ideal gas is initially at pressure

P_i = 6.0 \times 10^{5}\,\text{Pa}

and volume

V_i = 0.010\,\text{m}^3

. It expands reversibly and adiabatically to a final volume

V_f = 0.020\,\text{m}^3

. For a monoatomic gas,

\gamma = \tfrac{5}{3}

. Find the work done by the gas (in kJ). (a)

4.2\,\text{kJ}

(b)

-3.3\,\text{kJ}

(c)

3.3\,\text{kJ}

(d)

2.2\,\text{kJ}