Chemical Thermodynamics An Introduction

23 SOLVED PROBLEMS

Question: 10.2

Calculate the equilibrium constant of the reaction I2(g)↽ ⇀2 I(g) at 800 K and 1atm, supposing each component as an ideal gas, based on the following data: v =214.6 cm^-1; B = 214.6 cm^-1; Ed = 1.5422 eV. Here, v is the wave number of the vibration, B is the rotational constant, and Ed is the ...

We can compute the equilibrium constant K by means...
Question: 8.2

The equilibrium constant of a particular chemical reaction is doubled when elevating the temperature from 200 K to 300 K. Calculate the reaction enthalpy (considering it as independent of temperature in this range). ...

Let us apply this time the definite integral form ...
Question: 11.2

A block of metal is surrounded by adiabatic walls, except for a thermally conductive rod inside the wall connecting it to the environment. The initial temperature (at t = 0) of the metal block is T0 = 100.00°C, and its heat capacity is C = 600 kJ K^-1. The thermal conductivity of the 5 mm long rod ...

We can write (11.6) – Fourier’s law – for this pro...
Question: 11.1

Let us model the dissolution of sugar in a cup of tea by carefully stratifying a large quantity of 80°C temperature water onto a saturated solution of sucrose at the bottom of a tall cylinder. Let us assume that at t = 0, the total amount of sucrose, n0 = 0.01 mol (3.423 g), is at the plane of the ...

The concentration profile of sucrose along the ver...
Question: 10.1

Express the molar heat capacity of an Einstein solid as a function of temperature. Calculate the T → 0 and T →∞ limits. Draw a plot of the molar heat capacity as a function of temperature between 0 K and 10 K (use the reference value of u0 =  100 J). ...

Let us start from the molar entropy (10.13) of the...
Question: 9.2

An assumption of the Debye–Hückel theory is that the concentration distribution as a function of distance of the charged particles i around a chosen central ion is given as the first-power term of a power series of the function ci(r)=ci exp [-eziφ(r) /kT]. Here, ci is the average concentration of ...

Let us write the charge density ρ(r) around the ce...
Question: 9.1

At 18°C, water rises at a height of 5 cm in a glass capillary of 0.3 mm radius. The density of water at this temperature is 998.6 kg m^-3. Based on the given data, calculate the equilibrium vapor pressure of water above a water drop with a radius of 10 nm. The vapor pressure over a plane water ...

First we shall determine the surface tension of wa...
Question: 8.1

The equilibrium constant of a particular chemical reaction in the vicinity of T = 502.3 K can be calculated using the following equation: ln K = 1-1 000 (T/K)^-1 + 20 000 (T/K)^-2 . Calculate the standard reaction enthalpy and entropy at the given temperature. ...

Let us start with the form of the van’t Hoff equat...
Question: 7.3