A sample of a diatomic ideal gas has pressure P and volume V. When the gas is warmed, it's pressure triples and the it's volume doubles. This warming process includes two steps, the first at constant pressure and the second at constant volume. Determine the energy transferred by heat.
Q = nCvΔT(constant volume)
Q = nCpΔT(constant pressure)
The Attempt at a Solution
Since it occurs in two phases, my thought was to add Q1 + Q2. Q1 at constant pressure and Q2 at constant volume i.e.
(n x 7/2R x ΔT) +(n x 5/2R x ΔT)
nRΔT is common thus;
nRΔT(7/2 + 5/2)
= 6nRΔT. or 6PV (since PV = nRT)
But my answer is wrong..and i'm NOT sure if my conclusion that nRΔT = nRT is true..
Any help is very much appreciated..thanks