Agas in a piston–cylinder assembly undergoes a process for which the relationship between pressure and volume is pv2 5 constant. the initial pressure is 1 bar, the initial volume is 0.1 m3, and the final pressure is 9 bar. determine (a) the final volume, in m3, and (b) the work for the process, in kj.

Part a)

Part b)

Explanation:

Part a)

As we know that the gas equation is given as

so here we know that

Now in order to find the final volume we have

Part b)

Work done in this process is given as

the tires are rotating at 0.434 rpmlinear speed=45 m/sdiameter=0.550 mradius=0.275 mnow v= rωω= v/rω=45/0.275ω=163.6 rad/sω=163.6 rad/s (1rev/2π rad) (60s/1m)ω=1563 rpm