• 1.11 Derivation of Equation of State In a certain system the internal energy E is related to the entropy S, particle number N, and volume V through BS exp NkB E = const N (a) Show that the system satisfies the ideal gas law regardless of the value of the constant ß. (b) Find the coefficient y in the adiabatic equation of state PVY : const and the molar specific heats Cp and Cy of the system.

A monatomic ideal gas with volume 0.150 L is rapidly compressed, so the process can be considered adiabatic. If the gas is initially at 1.01  105 Pa and 3.00  102 K and the final temperature is 481 K, find the work done by the gas on the environment, Wenv.Wenv =

3. Derive the thermodynamic equation of state for an ideal gas starting from internal energy then express this equation in a form without differentials. = -P +T| T LƏT.

Benzoic acid, C;HsO:H, is typically used as a çalibrant for determining the specific heat of bomb calorimeters. It combusts via the following unbalanced chemical reaction: C,H5O2H (s) + 02(g) → CO2 (g) + H2O(1) 3. For this experimental setup and reaction, the constant volume heat flow is known to be gy = -26.979 kJ. Over the course of the reaction, the temperature rose from 19.863 °C to 22.540 °C. Calculate the heat capacity, Cou, for this calorimeter in kJ °C-!.