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                                                                   EXHIBIT 23.2


                       CONSENT OF INDEPENDENT ACCOUNTANTS

We consent to the incorporation by reference in the registration statement of
Quaker State Corporation on Form S-8 for the registration of 65,383 shares of
Capital Stock which may be issued under the Non-employee Director Restricted
Stock Agreement, and in the Section 10(a) prospectus used in connection
therewith, of our report dated January 27, 1998, on our audits of the
consolidated financial statements and the financial statement schedule of Quaker
State Corporation and subsidiaries as of December 31, 1997 and 1996, and for
each of the three years in the period ended December 31, 1997, which report is
included in the Annual Report on Form 10-K. We also consent to the reference of
our firm under the caption "Experts."

Coopers & Lybrand L.L.P.


Dallas, Texas
May 21, 1998