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Q8) (a) A gas expands in a cylinder according to the relationship PV^1.2 = 1480. The initial volume of the gas is 0.05 m³ and the final volume of the gas is 0.075 m³.

Calculate the work done by the gas as it expands from 0.05 m³ to 0.075 m³. (8)

Note: the work done by the gas as it expands from V₁ to V₂ units of volume is W.

where

(b) Given (d² H)/dt² = 8 + sin⁡ t - 2 cos ⁡t  and dH/dt = - 2 when t = π/2 and H = 0 when t = 0.

Express H as a function of t . (8)