Answer:
(A) 
(B) 
Explanation:
Given:
- diameter of the cylinder,

- mass of piston sealing on the top,

- initial temperature of the piston,

- initial height of piston,

- atmospheric pressure on the piston,

(A)
<u>Initial pressure of gas is the pressure balanced by the weight of piston:</u>



<em>Which is gauge pressure because it is measured with respect to the atmospheric pressure.</em>
(B)
Given:
- Final temperature,

<u>Now, volume of air initially in the cylinder:</u>



Using gas law:
........................................(1)
<em>∵In every condition of equilibrium the gas pressure will be balanced by the weight of the piston so it is an </em><em>isobaric transition</em><em>.</em>
∴
<u>Hence eq. (1) is reduced to:</u>

putting respective values:


Answer:
a) Linear equation
Explanation:
Definition of acceleration

if a=constant and we integrate the last equation

So the relation between the time and the velocity is linear. If we plot the velocity in function of time, the plot is a line, and the acceleration is the slope of this line.