The decomposition a → b + c of a molecule a obeys the rate-law expression rate = 0.080 min−1 [a]. if the initial concentration of a is 0.30 m, what is the concentration after 2.6 minutes? 1. 0.028 m 2. 0.24 m 3. 0.38 m 4. 0.13 m 5. 0.32 m 0

Aparticle of mass m is projected with an initial velocity v0 in a direction making an angle α with the horizontal level ground as shown in the figure. the motion of the particle occurs under a uniform gravitational field g pointing downward. (a) write down the lagrangian of the system by using the cartesian coordinates (x, y). (b) is there any cyclic coordinate(s). if so, interpret it (them) physically. (c) find the euler-lagrange equations. find at least one constant of motion. (d) solve the differential equation in part (c) and obtain x and y coordinates of the projectile as a function of time. (e) construct the hamiltonian of the system, h, and write down the hamilton’s equations (canonical equations) of motion.

In which of the following would the particles move most rapidly? a. ice at -20 °c b. water at 20 °c c. steam at 110 °c d. boiling water e. ice at 0 °c

Where do magnetic lines of force enter earth?