Need help with finding the work done on an ideal gas and copper block

[owlman76]

1. The problem statement, all variables and given/known data

An Ideal gas and a block of copper have equal volumes V and at the same temperature T and atmosphere pressure P. The pressure on both substances is increased reversibly and isothermally to 5P.

a) Find the work done on the ideal gas if V = 0.5 m and T= 300 K P = 1.01*10^5 Pa

b) Find the work done on the copper using the definition of compressibility k= 0.7*10^-6. for copper


2. Relevant equations

PV=nRT
W= PdV
dW=PVBdT - PVkDP


3. The attempt at a solution

Part A) P1V1=P2V2=nRT SO W = PdV SO W = nRT/V dV SO W= P1V1 * ln(.1/.5) = -81276.6 Joules

I have no idea if that is correct

Part B) dW=PVBdT - PVkDP

Temp is constant so first part drops out so
dW = -PVkdP

My answer was W=-42844 Joules

Any help on solving these equations is awesome.... I don't know if I got either part right or even close to. THANK YOU