A reversible compression of 1 mol of an ideal gas in a piston/cylinder device results in a pressure increase from P₁ bar to P₂ and a temperature increase from 500 K to 1000 K. The path followed by the gas during compression is given by:
PV¹.⁵⁵ = constant
and the molar heat capacity of the gas is given by:
CP/R = 3.30 + 0.63x10⁻³ T (T in K)
Determine the final pressure and the heat transferred during the process.