You are handed a well insulated container holding about 100ml of water at a temp between 75 deg C and 100 deg C. you are given a thermometer with a maxmimum temp of 50 deg C. create an experiment to determine the temp of the water.
i am really confused on how to start this problem. we did an experiment with calorimeters such as specific heat of a metal,enthalpy of dissolving a salt in water, entahlpy of a neutralization reaction and heat fusion of water, could i alter one of these experiments to make this one work. is there an equation for this problem that i could link to one of these experiments
What happens if you add 100 ml water (ice water, no ice) at zero C, then measure the final temperature?
your and
the ice water would lower the original temp, but im still confused on how i would use that to calculate the original temp of the water
heat gained by ice water (you know both Tfinal and Tinitial) + heat lost by warmer water (Tfinal which you know and Tinitial which you don't know) = 0. What's the only unknown in the equation?
the only unknown would be the intial temp, for the heat gained by ice water would the intial be 0 deg and final would be waterever the fianl temp of the mixture of warm and cold water
It's tough reading with no caps and no periods and/or question marks. Yes, ice water Ti is 0 and Tf final T of solution. Ti for warm water is unknown. Tf is same for ice water and warm water.
To determine the temperature of the water in the well-insulated container using the given thermometer with a maximum temperature reading of 50°C, you can perform the following experiment:
1. Fill a large beaker or container with water at room temperature.
2. Measure the initial temperature of the room temperature water using the thermometer.
3. After measuring the starting temperature, quickly transfer some water from the well-insulated container to the large beaker, ensuring that the amount of water transferred doesn't significantly affect the temperature of the water in the large beaker.
4. Stir the water in the large beaker to ensure uniform temperature distribution.
5. Measure the final temperature of the water in the large beaker using the thermometer.
6. Record the change in temperature (∆T).
Now, let's explain how this experiment helps determine the temperature of the water in the well-insulated container.
The principle behind this experiment lies in the concept of thermal equilibrium. When the water from the well-insulated container is mixed with the room temperature water in the large beaker, the two bodies of water exchange heat. This heat transfer causes the temperature of the water in the well-insulated container to decrease while the temperature of the room temperature water increases. Eventually, both water samples will reach the same final temperature.
By measuring the initial and final temperatures of the mixture in the large beaker, you can calculate the change in temperature (∆T). Since the water in the large beaker was at room temperature, which is lower than the upper limit of the thermometer, the final temperature measured using the thermometer will be below 50°C.
To determine the temperature of the water in the well-insulated container, use the formula:
Temperature of water in well-insulated container = Final temperature - ∆T
By substituting the measured final temperature and the calculated ∆T into the formula, you can determine the approximate temperature of the water in the well-insulated container, even though it is outside the range of the thermometer.