For a gas obeying the ideal gas law, we can write p=f(v,t) , v=g(p,t) , and t=h(p,v) . Verify the validity of the cyclic rule by evaluating the following product for an ideal gas:
a) p v t = constant
b) p + v + t = constant
c) p² v² t² = constant
d) p v² t³ = constant