From 2dbff478cfd7170b1d9c3f10c27d5c119685ba0f Mon Sep 17 00:00:00 2001 From: Krishna Date: Sun, 10 Nov 2024 23:22:40 -0600 Subject: [PATCH] so far --- content/physics/thermodynamics.md | 40 +++++++++++++++++++++++++++++++ 1 file changed, 40 insertions(+) create mode 100644 content/physics/thermodynamics.md diff --git a/content/physics/thermodynamics.md b/content/physics/thermodynamics.md new file mode 100644 index 0000000..a8072b4 --- /dev/null +++ b/content/physics/thermodynamics.md @@ -0,0 +1,40 @@ +--- +title: Thermodynamics, Scattered +date: 2024-11-10 +--- + +# A Couple of Equations + +When it comes to energy transfer and phase changes there are only two useful equations. +1. **Specific Heat Equation**: This equation is used to calculate the heat required to change the temperature of a substance without a phase change. + $$ + \Delta \textbf{KE}=Q = mc\Delta T + $$ + - \( Q \) = heat energy added or removed (in joules, J) + - \( m \) = mass of the substance (in kilograms, kg) + - \( c \) = specific heat capacity of the substance (in J/kg°C) + - \( \Delta T \) = change in temperature (in °C or K) + +2. **Latent Heat (Potential Energy Buildup)**: This equation is used for phase changes, where energy changes the state of the substance (like melting or boiling) without changing its temperature. + $$ + \Delta \textbf{PE} = Q = mL + $$ + - \( Q \) = heat energy added or removed (in joules, J) + - \( m \) = mass of the substance (in kilograms, kg) + - \( L \) = latent heat of the substance (in J/kg), which could be the latent heat of fusion (for melting/freezing) or vaporization (for boiling/condensing) + +These equations together describe the heat energy required for changing the temperature of a substance and for changing its phase. + +**It is important to note the alternate arrangement of both: +$$ +Q=nc_{\mathrm{mol}}\Delta T = \Delta \textbf{KE} +$$ +or for the other Latent Heat equation: +$$ + \Delta \textbf{PE} = Q = nL_{\mathrm{mol}} +$$ + +- $n$ is the number of moles +- the subscript `mol` notates the same variable, but in units *per* mole. +- ==You might see both==, at least they were both on the concept builders. +