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The SI unit for heat capacity of an object is joule per kelvin (J/K or J⋅K −1). Since an increment of temperature of one degree Celsius is the same as an increment of one kelvin, that is the same unit as J/°C. The heat capacity of an object is an amount of energy divided by a temperature change, which has the dimension L 2 ⋅M⋅T −2 ...
The SI unit of specific heat capacity is joule per kelvin per kilogram, J⋅kg −1 ⋅K −1. [2] For example, the heat required to raise the temperature of 1 kg of water by 1 K is 4184 joules , so the specific heat capacity of water is 4184 J⋅kg −1 ⋅K −1 .
The contribution of the muscle to the specific heat of the body is approximately 47%, and the contribution of the fat and skin is approximately 24%. The specific heat of tissues range from ~0.7 kJ · kg−1 · °C−1 for tooth (enamel) to 4.2 kJ · kg−1 · °C−1 for eye (sclera). [13]
The SI has special names for 22 of these coherent derived units (for example, hertz, the SI unit of measurement of frequency), but the rest merely reflect their derivation: for example, the square metre (m 2), the SI derived unit of area; and the kilogram per cubic metre (kg/m 3 or kg⋅m −3), the SI derived unit of density.
That same year, James Prescott Joule suggested to Thomson that the true formula for Carnot's function was [20] = +, where is "the mechanical equivalent of a unit of heat", [21] now referred to as the specific heat capacity of water, approximately 771.8 foot-pounds force per degree Fahrenheit per pound (4,153 J/K/kg). [22]
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They are used in various combinations to define the seven SI base units. The Boltzmann constant is defined to be exactly 1.380 649 × 10 −23 joules per kelvin. [1] Correspondingly, the SI units for temperature and energy are calibrated to one another so that k B kelvin = 1.380 649 × 10 −23 joules.
joule per kelvin (J⋅K −1) constant of integration: varied depending on context speed of light (in vacuum) 299,792,458 meters per second (m/s) speed of sound: meter per second (m/s) specific heat capacity: joule per kilogram per kelvin (J⋅kg −1 ⋅K −1) viscous damping coefficient kilogram per second (kg/s)