It is given that the price of the carpet is $ 28.99 per square yard
Step 1: Convert square yard to square meter
1 square yard = 0.836 square meter
Step 2: Calculate the cost/square meter
Now based on the relation in step (1) we can write
0.836 square meter of carpet costs $ 28.99
Therefore the cost of 1 square meter of the carpet would be
= $ 28.99 * 1 sq meter/0.836 sq meter
= $ 34.68
Decreasing the turns of wire
Answer:
a) 
b) entropy of the sistem equal to a), entropy of the universe grater than a).
Explanation:
a) The change of entropy for a reversible process:


The energy balance:
![\delta U=[tex]\delta Q- \delta W](https://tex.z-dn.net/?f=%5Cdelta%20U%3D%5Btex%5D%5Cdelta%20Q-%20%5Cdelta%20W)
If the process is isothermical the U doesn't change:
![0=[tex]\delta Q- \delta W](https://tex.z-dn.net/?f=0%3D%5Btex%5D%5Cdelta%20Q-%20%5Cdelta%20W)


The work:

If it is an ideal gas:


Solving:

Replacing:


Given that it's a compression: V2<V1 and ln(V2/V1)<0. So:

b) The entropy change of the sistem will be equal to the calculated in a), but the change of entropy of the universe will be 0 in a) (reversible process) and in b) has to be positive given that it is an irreversible process.