should my calculated bulk modulus of a liquid be (-)? the lookup tables i'm comparing the results too have positive values, or is it written without the (-) as a negative bulk modulus is impossible?

I've answered it myself i think.

The liquid is being compressed therefore the change in volume should be negative. if someone could verify that'd be great

The bulk modulus of a substance represents its resistance to uniform compression. It is usually expressed as a positive value because it quantifies the magnitude of compression experienced by the substance under pressure.

However, it is important to note that negative values for the bulk modulus can be obtained under certain conditions. These conditions typically involve special circumstances, such as negative thermal expansion or unique material properties.

To confirm whether a negative value is appropriate for the bulk modulus of a liquid, it is essential to verify the method used for the calculation. If you obtained a negative result using a legitimate and appropriate calculation method, it is valid. In such cases, it may indicate that the liquid exhibits unusual behavior or has unique properties.

To ensure accuracy, it is recommended to cross-check your calculated bulk modulus values with reliable sources such as reference books, research papers, or extensive online databases. These sources usually provide tables and values of bulk modulus for various substances, allowing you to compare and validate your calculations.

If the lookup tables you are comparing your results to only display positive values for bulk modulus, it might suggest that negative values are not commonly encountered or documented for the particular liquid you are examining. However, this does not mean that negative bulk modulus values are impossible. It is essential to thoroughly review your calculations, methodology, and consult appropriate references to determine the validity of your results.