Ideal gases are often studied at standard ambient temperature and pressure (satp). The international union of pure and applied c
1 answer:
This problem provides information about the pressure and temperature ideal gases are studied at. The answer to the questions are that all molecules have the same density, 2.43x10²⁵ mol/m³ and 2.43x10¹⁹ mol/cm³.
<h3>Idela gases</h3>In science, we can start studying gases with the concept of ideal gas, as they do not collide one to another and are assumed to be perfect spheres with no relevant interactions.
In such a way, one can conclude that the <u>number density of all ideal gasses at SATP is the same</u>, as they are assumed to be perfect spheres with equal volumes per molecule.
Moreover, when calculating the number of molecules per cubic meter, one must use the ideal gas equation as:
And plug in the numbers we are given:
Lastly, we can calculate the molecules per cubic centimeter by performing the following conversion:
Learn more about ideal gases: brainly.com/question/26450101
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1) The horizontal range of the bullet is 884 m
2) The maximum height attained by the bullet is 383 m
Explanation:
1)
The motion of the bullet is a projectile motion, which consists of two separate motions:
- A uniform motion (constant velocity) along the horizontal direction
- A uniformly accelerated motion, with constant acceleration (acceleration of gravity) in the downward direction
From the equation of motions along the x- and y- directions, it is possible to find an expression for the horizontal range covered by a projectile, and it is:
where
u is the initial speed of the projectile
is the angle of projection
is the acceleration of gravity
For the bullet in the problem, we have
u = 100 m/s (initial speed)
(angle)
Solving the equation, we find the horizontal range:
2)
To find the maximum height, we have to analyze the vertical motion of the bullet. We can do it by using the following suvat equation:
where
is the vertical velocity of the bullet after having covered a vertical displacement of
is the initial vertical velocity
is the acceleration (negative, since it points downward)
The vertical component of the initial velocity is given by
Also, the maximum height s is reached when the vertical velocity becomes zero,
Substituting into the equation and re-arranging for s, we find the maximum height:
Learn more about projectile motion:
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