One mole of an ideal gas (C_p /C_v = $\mathrm{\gamma }$) at absolute temperature T₁ is diabatically compressed from an initial pressure P₁ to a final pressure P₂. The resulting temperature T₂ of the gas is given by 

• A

  ${\mathrm{T}}_2={\mathrm{T}}_1{\left({\mathrm{P}}_2/{\mathrm{P}}_1\right)}^{\mathrm{\gamma }/(\mathrm{\gamma }-1)}$

• B

  ${\mathrm{T}}_2={\mathrm{T}}_1{\left({\mathrm{P}}_2/{\mathrm{P}}_1\right)}^{(\mathrm{\gamma }-1)/\mathrm{\gamma }}$

• C

  ${\mathrm{T}}_2={\mathrm{T}}_1{\left({\mathrm{P}}_2/{\mathrm{P}}_1\right)}^{\mathrm{\gamma }}$

• D

  ${\mathrm{T}}_2={\mathrm{T}}_1{\left({\mathrm{P}}_2/{\mathrm{P}}_1\right)}^{\mathrm{\gamma }-1}$