Tex. Tax Code § 26.11

(a) If the federal government, the state, or a political subdivision of the state acquires the right to possession of taxable property under a court order issued in condemnation proceedings, takes possession of taxable property under a possession and use agreement or under Section 21.021, Property Code, or acquires title to taxable property, the amount of the tax due on the property is calculated by multiplying the amount of taxes imposed on the property for the entire year as determined as provided by Section 26.09 of this code by a fraction, the denominator of which is 365 and the numerator of which is the number of days that elapsed prior to the date of the conveyance, the effective date of the possession and use agreement, the date the entity took possession under Section 21.021, Property Code, or the date of the order granting the right of possession, as applicable.

(b) If the amount of taxes to be imposed on the property for the year of transfer has not been determined at the time of transfer, the assessor for each taxing unit in which the property is taxable may use the taxes imposed on the property for the preceding tax year as the basis for determining the amount of taxes to be imposed for the current tax year.

(c) If the amount of prorated taxes determined to be due as provided by this section is tendered to the collector for the unit, the collector shall accept the tender. The payment absolves:

(1) the transferor of liability for taxes by the unit on the property for the year of the transfer; and

(2) the taxing unit of liability for a refund in connection with taxes on the property for the year of the transfer.