Final answer:
The root-mean-square distance an ink droplet diffuses is determined by the diffusion constant. Without knowing the specific diffusion constant for the ink droplet in water, we cannot calculate the exact root-mean-square distance after 135 seconds. However, representative values of the diffusion constant can be used to estimate the root-mean-square distance.
Step-by-step explanation:
The root-mean-square distance an ink droplet diffuses is given by the equation Xrms = √2Dt, where Xrms is the root-mean-square distance and D is the diffusion constant. To find the root-mean-square distance after 135 additional seconds, we need to know the diffusion constant D. Unfortunately, the question does not provide the specific diffusion constant for the ink droplet in water.
Therefore, we cannot calculate the exact root-mean-square distance. However, Table 12.2 provides representative values of D for various substances in units of m²/s, which can be used to estimate the diffusion constant and hence the root-mean-square distance.