Final answer:
The new molarity of two glucose solutions mixed in equal volume ratios of 1M and 2M respectively is 1.5 M. This is calculated by adding the total moles from both solutions and dividing by the new combined volume.
Step-by-step explanation:
To determine the new molarity when two glucose solutions of different concentrations are mixed in equal volumes, we can use the formula M1 × V1 = M2 × V2, where M represents molarity and V represents volume. Since we are combining equal volumes of 1M and 2M solutions, the total volume (V1 + V2) would double, and the total number of moles of glucose would be the sum of the moles in each solution (1 mole from the 1M solution and 2 moles from the 2M solution).
The combined number of moles is 3 moles, and since the total volume is twice that of one of the original solutions, the new molarity is calculated as the combined number of moles divided by the new volume.
New Molarity = Total Moles / Total Volume
New Molarity = 3 moles / (1 volume unit + 1 volume unit)
Therefore, the new molarity will be 1.5 M when a 1M and a 2M glucose solution are mixed in equal volume ratios.