What amount of water in liters could be heated from 20.0 to 42.0 by the car's energy? (One calorie raises the temperature of 1 of water by 1.)
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To calculate the amount of water that can be heated from 20.0 to 42.0 degrees Celsius using the car's energy, we need to use the specific heat capacity of water.
The specific heat capacity of water is defined as the amount of heat energy required to raise the temperature of 1 gram of water by 1 degree Celsius. In this case, we are given that one calorie raises the temperature of 1 gram of water by 1 degree.
However, we need to convert the mass of water from grams to liters, as the specific heat capacity is typically given per gram of substance. The density of water is approximately 1 gram per milliliter, so 1 liter of water weighs 1000 grams.
Now, let's calculate the amount of water that can be heated using the car's energy:
1. Determine the temperature difference: ΔT = (42.0 °C - 20.0 °C) = 22.0 °C.
2. Since 1 calorie raises the temperature of 1 gram of water by 1 degree Celsius, the specific heat capacity of water is 1 calorie/gram·°C.
3. Convert the mass of water to grams: 1 liter = 1000 grams.
4. Calculate the amount of water heated: Amount of water = Specific heat capacity × Mass × ΔT.
Amount of water = 1 calorie/gram·°C × 1000 grams × 22.0 °C.
Amount of water = 22,000 calories.
Therefore, the amount of water that could be heated from 20.0 °C to 42.0 °C using the car's energy is 22,000 calories.