When 47.3J of heat are added to 13.0g of a liquid, its temperature rises by 1.76C. What is the heat capacity of the liquid?
q = 47.3 = mass x sp.h. x delta T
To find the heat capacity of the liquid, we need to use the formula:
Heat Capacity = (Amount of Heat / Change in Temperature)
Given:
Amount of Heat = 47.3 J
Change in Temperature = 1.76 °C
First, we need to convert the mass of the liquid from grams to kilograms since the heat capacity is usually measured in J/kg°C.
Mass of the liquid = 13.0 g = 0.013 kg
Now, we can substitute the values into the formula:
Heat Capacity = (47.3 J) / (0.013 kg * 1.76 °C)
Simplifying this equation, we get:
Heat Capacity = 47.3 J / 0.02288 J/kg°C
Calculating the result:
Heat Capacity = 2066.19 J/kg°C
Therefore, the heat capacity of the liquid is approximately 2066.19 J/kg°C.