Paulbrown,
As metengr has stated, B31.3 does not require PWHT for the low temperature service. Furthermiore, it is not common practice to PWHT with the design described; however, service conditions, as determined by the designer, may dictate otherwise. "In such cases, the designer may specify more stringent requirements in the engineering design, including heat treatment.." (ref. 331.2.2)