A fixed quantity of an ideal gas initially occupies at under a constant external…

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

Problem

A fixed quantity of an ideal gas initially occupies

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

T_i = 300\,\text{K}

under a constant external pressure of

1.5\times10^{5}\,\text{Pa}

. The gas is slowly heated at this pressure until its temperature reaches

450\,\text{K}

. (i) Obtain an expression for the final volume

V_f

of the gas in terms of

V_i

T_i

, and

T_f

. (ii) Calculate the numerical value of

V_f

. (iii) Derive an expression for the work done by the gas during this heating process in terms of

V_i

and

V_f

, and compute its value. (iv) Would the amount of work done change if the gas were neon instead of oxygen while all other conditions remained the same? Give a reason for your answer.

Related theory

Internal Energy
Thermodynamic Processes
Work done by gases
The first law of thermodynamics
Thermodynamics
Isobaric process
Ideal gas equation

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