EQUITABLE RESOURCES, INC. (FORMED IN 1926) AND EQUITABLE RESOURCES, INC. (FORMED IN 2008) TO DEUTSCHE BANK TRUST COMPANY AMERICAS, FORMERLY KNOWN AS BANKERS TRUST COMPANY, SUCCESSOR TO PITTSBURGH NATIONAL BANK, TRUSTEE SECOND SUPPLEMENTAL INDENTURE Dated as of June 30, 2008

Exhibit 4.01(g)

EQUITABLE RESOURCES, INC. (FORMED IN 1926)

AND

EQUITABLE RESOURCES, INC. (FORMED IN 2008)

TO

DEUTSCHE BANK TRUST COMPANY AMERICAS,

FORMERLY KNOWN AS BANKERS TRUST COMPANY,

SUCCESSOR TO PITTSBURGH NATIONAL BANK, TRUSTEE

SECOND SUPPLEMENTAL INDENTURE

Dated as of June 30, 2008

This Second Supplemental Indenture, dated as of June 30, 2008, among Equitable Resources, Inc., a corporation duly organized and existing under the laws of the Commonwealth of Pennsylvania (herein called the “Company”), having its principal executive office at 225 North Shore Drive, Pittsburgh, Pennsylvania 15212, Equitable Resources, Inc., a corporation formed on June 10, 2008 and duly organized and existing under the laws of the Commonwealth of Pennsylvania (herein called “New EQT”) and Deutsche Bank Trust Company Americas, formerly known as Bankers Trust Company, successor to Pittsburgh National Bank, a New York banking corporation (herein called the “Trustee”) under the Indenture dated as of April 1, 1983 (the “Indenture”) from the Company.

WITNESSETH THAT:

WHEREAS, Section 901(1) of the Indenture provides that, without the consent of the Holders, the Company, when authorized by a Board Resolution, and the Trustee, at any time may enter into one or more supplemental indentures for the purpose of evidencing the succession of another corporation to the Company, or successive successions, and the assumption by any such successor of the covenants of the Company in the Indenture and in the Securities;

WHEREAS, pursuant to Section 801 of the Indenture, the Company may convey, lease or otherwise dispose of its property substantially as an entirety to any other corporation authorized to acquire the same; provided, among other things, that such Person shall expressly assume, by a supplemental indenture executed and delivered to the Trustee and in form satisfactory to the Trustee, the due and punctual payment of the principal of (and premium, if any) and interest on all Outstanding Securities and the performance and observance of all of the covenants and conditions of the Indenture to be performed by the Company;

WHEREAS, the Company has transferred to New EQT all of Equitable’s Production and Midstream businesses and all corporate assets and liabilities;

WHEREAS, New EQT will assume all the rights and obligations of, and succeed to and be substituted for, the Company under the Indenture and the Securities;

WHEREAS, to evidence the assumption of the obligations under the Indenture and the Securities by New EQT and the release of the Company from its liabilities and obligations under or with respect to the Securities and the Indenture in accordance with Sections 801 and 802 of the Indenture, New EQT has agreed to execute and deliver this Second Supplemental Indenture;

WHEREAS, the following series of Securities have been created prior to the execution hereof:  8.48% to 9.00% Medium Term Notes Series A, due 2006 thru 2021; 7.30% to 7.55% Medium Term Notes Series B, due 2013 thru 2023; 6.78% to 7.60% Medium Term Notes Series C, due 2007 thru 2018;

WHEREAS, the execution of this Second Supplemental Indenture has been duly authorized by the Board of Directors of the Company;

WHEREAS, the Company has delivered, or caused to be delivered, to the Trustee, an Officers’ Certificate and an Opinion of Counsel meeting the requirements of Section 803 of the Indenture;

2

WHEREAS, the Company and the Trustee have received a direction to enter into this Second Supplemental Indenture from the holders of at least a majority in principal amount of the outstanding Notes of each series;

NOW THEREFORE THIS SECOND SUPPLEMENTAL INDENTURE WITNESSETH:

For and in consideration of the premises, and intending to be legally bound hereby, mutually covenant and agree, for the equal and proportionate benefit of all Holders of the Securities or of any series thereof, as follows:

ARTICLE ONE

ASSUMPTION OF OBLIGATIONS

SECTION 101. Assumption of Obligations under Indenture.  New EQT hereby fully and unconditionally assumes the due and punctual payment of the principal of (and premium if any), and interest on the Notes and the performance and observance of all of the covenants and conditions of the Indenture to be performed by the Company.

ARTICLE TWO

MISCELLANEOUS PROVISIONS

SECTION 201. Terms Defined.  For all purposes of this Second Supplemental Indenture, capitalized terms used and not otherwise defined herein shall have the meanings assigned to such terms in the Indenture.

SECTION 202. Effect of Supplemental Indenture.  Upon the execution and delivery of this Second Supplemental Indenture by New EQT, the Company and the Trustee, the Indenture shall be supplemented in accordance herewith, and this Second Supplemental Indenture shall form a part of the Indenture for all purposes, and every Holder of Securities heretofore or hereafter authenticated and delivered under the Indenture shall be bound thereby. In accordance with Section 802 of the Indenture, upon the execution and delivery of this Second Supplemental Indenture by New EQT, the Company and the Trustee, New EQT shall succeed to and be substituted for the Company with the same effect as if it had been named therein as the party of the first part and the Company shall be released and relieved in accordance with Section 802 of the Indenture.

SECTION 203. Indenture and Supplemental Indenture Construed Together.  This Second Supplemental Indenture is an indenture supplemental to and in implementation of the Indenture, and the Indenture and this Second Supplemental Indenture shall henceforth be read and construed together.

SECTION 204. Multiple Counterparts.  The parties may sign multiple counterparts of this Second Supplemental Indenture. Each signed counterpart shall be deemed an original, but all of them together represent the same agreement.

3

SECTION 205. Endorsement and Change of Form of Notes.  Any Notes authenticated and delivered after the date of this Second Supplemental Indenture in exchange or substitution for Notes then outstanding and all Notes presented or delivered to the Trustee on and after that date for such purpose shall (unless textually revised as hereinafter provided) be stamped or typewritten by the Trustee with a notation as follows:

“New EQT, Inc., a Pennsylvania corporation (“New EQT”), has assumed the obligations of Equitable Resources, Inc. (the “Company”) as successor to the Company in connection with the transfer of the properties and assets of the Company substantially as an entirety. New EQT has expressly assumed the due and punctual payment of the principal of (and premium, if any), and interest on all of the Notes and the due and punctual performance and observance of all of the of covenants and conditions in the Indenture to be performed by the Company, and the Company will be relieved from all covenants and obligations under the Notes, the Securities and the Indenture in accordance with the Second Supplemental Indenture referred to below. The Indenture dated as of April 1, 1983 referred to in this Note has been amended by a Second Supplemental Indenture dated as of June 30, 2008 to provide for such assumptions of obligations by New EQT and the release of the Company from such obligations. Reference is hereby made to said Second Supplemental Indenture, copies of which are on file with Deutsche Bank Trust Company Americas, as Trustee, for a description of the amendments therein made.”

Any Notes hereafter authenticated and delivered in exchange or substitution for Notes then outstanding shall, if New EQT so elects, be textually revised in a form approved by the Trustee to make reference to the Second Supplemental Indenture and to reflect the supplement of the Indenture hereby instead of being stamped or typewritten as hereinabove provided.

4

IN WITNESS WHEREOF, the parties hereto have caused this Second Supplemental Indenture to be duly executed as of the day and year first above written.

5