Atank holds 10.3 mol of an ideal gas at an absolute pressure of 519 kpa while at a temperature of 361.38°c. (a) compute the container's volume (b) the gas is now heated to 651.6 °c. what is the pressure of the gas now?

(a) 62.57 L

(b) 801.94 kPa

Explanation:

Given:

= number of moles of gas = 10.3 mol

= initial pressure of the gas =

= initial temperature of the gas =

= final temperature of the gas =

= volume of the tank

R = universal gas constant =

Part (a):

Using Ideal gas equation, we have

Hence, the volume of the container is 62.567 L.

Part (b):

As the volume of the container remains constant.

Again using ideal gas equation,

Hence, the final pressure of the gas is now 801.94 kPa.

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.