A monatomic ideal gas (γ = 5/3) is contained within a perfectly insulated cylinder that is fitted with a movable piston. The initial pressure of the gas is 1.31 × 105 Pa. The piston is pushed so as to compress the gas, with the result that the Kelvin temperature doubles. What is the final pressure of the gas? I know the equation I will need to solve this with is P_i*(V_i)^γ = P_f*(V_f)^γ I'm stuck at figuring out how to plug that T_f = 2*T_i to find the volume. Any pointers?