Final answer:
Karissa and Leah will have to wait 83 minutes for the concentration of salt in the solution to reach 5 grams per liter, as calculated from the given rate of reaction and temperature difference.
Step-by-step explanation:
The question is asking for the time it takes for a specific concentration of salt in a solution to be reached. In chemistry, this type of problem often relates to the rate of dissolution or reaction kinetics, though, the provided information suggests a simple calculation involving a constant rate.
Referring to the details given, if we multiply the mass in kilograms by the temperature difference, we get the duration in seconds required to reach the desired concentration. The calculated time is 5,000 seconds. To make this time more comprehensible, we can convert it into minutes by dividing by 60, which gives us 83 minutes. Alternatively, if we wanted to express this duration in hours, dividing by an additional factor of 60 yields approximately 1.4 hours. However, the question specifically asks for the answer in minutes.
In general, when given a mass of a solute and a volume of solvent, concentration can be determined by calculating the moles of the solute (using its molar mass) and dividing by the volume of the solution in liters. It's important to make sure the units are consistent when performing these calculations. For instance, if we have a solution where 137 grams of NaCl is dissolved to make 500 mL of solution, we would first convert the mass to moles using the molar mass of NaCl, then convert the volume to liters to find the concentration in moles per liter (mol/L).