To calculate for the pressure of the system, we need an equation that would relate the
number of moles (n), pressure (P), and temperature (T) with volume (V). There are a number of equations that would relate these values however most are very complex equations. For
simplification, we assume the gas is an ideal gas. So, we use PV = nRT.<span>
PV = nRT where R is the universal gas
constant
P = nRT / V</span>
<span>P = 3.40 mol ( 0.08205 L-atm / mol-K ) (251 + 273.15 K) / 1.75 L </span>
<span>P = 83.56 atm</span>
<span>
</span>
<span>Therefore, the pressure of the gas at the given conditions of volume and temperature would be 83.56.</span>
Answer:
The angular acceleration is same at all the points in the body.
Option (D) is correct.
Explanation:
Given:
When a rigid body rotates about a fixed axis, all the points in the body have the same,
For finding which quantity is same we use pure rotational concept,

Where
angular frequency,
radius of rigid body
When a rigid body rotates about a fixed axis angular velocity of all the points in the body are same.
But the tangential speed, tangential acceleration, linear displacement, and centripetal acceleration depend on the position of the points and hence they are not the same.
Therefore, the angular acceleration is same at all the points in the body.
Answer:
Centre of mass of any body is a point where all mass of a body is supposed to be concentrated
it lies in geometrical centre....
Here is the full question:
The rotational inertia I of any given body of mass M about any given axis is equal to the rotational inertia of an equivalent hoop about that axis, if the hoop has the same mass M and a radius k given by:

The radius k of the equivalent hoop is called the radius of gyration of the given body. Using this formula, find the radius of gyration of (a) a cylinder of radius 1.20 m, (b) a thin spherical shell of radius 1.20 m, and (c) a solid sphere of radius 1.20 m, all rotating about their central axes.
Answer:
a) 0.85 m
b) 0.98 m
c) 0.76 m
Explanation:
Given that: the radius of gyration
So, moment of rotational inertia (I) of a cylinder about it axis = 





k = 0.8455 m
k ≅ 0.85 m
For the spherical shell of radius
(I) = 




k = 0.9797 m
k ≅ 0.98 m
For the solid sphere of radius
(I) = 




k = 0.7560
k ≅ 0.76 m
Ok? I don’t know what you want me to do though