Let Xbe a geometric random variable with parameter 1/2, i. e., you flip a fair coin indepen- dently until it comes up heads, and Xis the number of flips required. (a) Compute the entropy of Xdirectly from the definition of entropy.

Consider the following reaction at equilibrium. 2co2 (g) 2co (g) + o2 (g) h° = -514 kj le châtelier's principle predicts that the equilibrium partial pressure of co (g) can be maximized by carrying out the reaction a. at high temperature and high pressure b. at high temperature and low pressure c. at low temperature and low pressure d. at low temperature and high pressure e. in the presence of solid carbon