A scheme for finding the internal volume V^t_B of a gas cylinder consists of the following steps. The cylinder is filled with a gas to a low pressure P₁, and connected through a small line and valve to an evacuated reference tank of known volume V^t_A . The valve is opened, and gas flows through the line into the reference tank. After the system returns to its initial temperature, a sensitive pressure transducer provides a value for the pressure change ΔP in the cylinder. Determine the cylinder volume  V^t_B from the following data:
∙ V^t_A = 256 cm³
∙ ΔP / P₁ = −0.0639