In the model above, a volume of gas is held in a container. over time, the container is heated by the flame at the bottom. all but one statement might describe what is happening inside the containers from left (v1) to right (v2).
a) an increase in particle energy causes an increase in pressure.
b) the change in temperature causes the particles to increase in number. c) as the temperature increases, the kinetic energy of the gas also increases. d) an decrease in kinetic energy and pressure causes an increase in the volume of the container.

You are the coordinator for a program that is going to take place at night in a rectangular amphitheater in the mountains. you will have no access to any electricity, but you must be able to illuminate the entire grounds. you know the intensity of the light from a lantern varies inversely as the square of the distance from the lantern. suppose the intensity is 90 when the distance is 5 m. a. write an equation to model the situation. b. solve for the constant of variation. c. write the equation to model the situation using the constant () of variation. d. you have been given lanterns with 40 light intensity. use your equation to solve for the distance from the lantern. e. you need to illuminate 225 km. how many meters do you need to light? f. how many lanterns will you need?