The first order exothermic irreversible reaction a- b is carried out in a perfectly mixed batch reactor with no change in volume. the rate constant is given by an arrhenius expression with pre-exponential factor k and activation energy ea. in addition, the molar density of the fluid is p, the molar heat capacity is cp, and the heat of reaction is δηr, where δhrs 0. you may assume that heat is lost from the reactor to the environment with constant overall heat transfer coefficient u and a heat exchange area a, so that the rate of heat removal from the reactor is proportional to t - to, where to is the ambient temperature. if the initial concentration of a is cao and the initial reactor temperature is the ambient temperature to, derive mass and energy balances for the concentration ca and temperature t as a function of time. next, linearize these equations for perturbations in ca and t around the initial conditions. what two methods are available to solve the resulting set of equations?

in chemistry, a solution’s concentration is how much of a dissolvable substance, known as a solute, is mixed with another substance, called the solvent. the standard formula is c = m/v, where c is the concentration, m is the mass of the solute dissolved, and v is the total volume

chemical changes occur when a substance combines with another to form a new substance, called chemical synthesis or, alternatively, chemical decomposition into two or more different substances. these processes are called chemical reactions and, in general, are not reversible except by further chemical reactions. some reactions produce heat and are called exothermic reactions and others may require heat to enable the reaction to occur, which are called endothermic reactions. understanding chemical changes is a major part of the science of chemistry.

rosa was looking for patterns to predict the products of chemical reactions. she recorded three similar decomposition reactions in the table.she should record 2licl + 3o2.

in the last row of the table. it is the thermal decomposition of chlorate lithium, hence, she should record these products as: lithium chloride ( 2licl ) and oxygen ( 3o2 )   2 > 2 licl + 3o2.