A student places 100 mL of tap water in a beaker and uses both a thermometer and a temperature probe to measure temperature. The temperature of the water as measured by the thermometer is 27.7 C. The temperature of the water as measured by the temperature probe is 24.9 C. The student then places 100 mL of hot water into another beaker. If the temperature of this water is 72.6 C as measured by the temperature probe, what is the temperature of this water measured by the thermometer?
Wouldn't it be
(27.7/24.9) = (x/72.6)
To find the temperature of the hot water measured by the thermometer, we can use the concept of proportionality. Here's how we can calculate it:
Step 1: Determine the temperature difference between the temperature probe and the thermometer for the tap water.
- The temperature measured by the thermometer is 27.7°C.
- The temperature measured by the temperature probe is 24.9°C.
- The temperature difference is 27.7°C - 24.9°C = 2.8°C.
Step 2: Apply the temperature difference between the probe and the thermometer to the hot water.
- The temperature measured by the temperature probe for the hot water is 72.6°C.
- We know that the temperature difference between the probe and the thermometer is 2.8°C.
- Therefore, the temperature measured by the thermometer for the hot water is 72.6°C - 2.8°C = 69.8°C.
Thus, the temperature of the hot water measured by the thermometer is 69.8°C.
To find the temperature of the hot water measured by the thermometer, we can use the concept of calibration. Since we know the difference between the readings of the thermometer and the temperature probe for the tap water, we can apply the same difference to the reading of the temperature probe for the hot water to get the corresponding temperature measured by the thermometer.
Given:
Temperature of tap water measured by thermometer = 27.7 C
Temperature of tap water measured by temperature probe = 24.9 C
Temperature of hot water measured by temperature probe = 72.6 C
Now, let's calculate the temperature of the hot water measured by the thermometer.
Step 1: Calculate the temperature difference between the thermometer and the temperature probe for the tap water.
Temperature difference = Temperature measured by thermometer - Temperature measured by temperature probe
Temperature difference = 27.7 C - 24.9 C
Temperature difference = 2.8 C
Step 2: Apply the temperature difference to the reading of the temperature probe for the hot water.
Temperature of hot water measured by the thermometer = Temperature measured by temperature probe + Temperature difference
Temperature of hot water measured by the thermometer = 72.6 C + 2.8 C
Temperature of hot water measured by the thermometer = 75.4 C
Therefore, the temperature of the hot water measured by the thermometer is 75.4 degrees Celsius.