Thermodynamics

Heat - formula in LaTeX

The heat needed to warm a body without a change of state. A temperature difference has the same value in kelvins and in degrees Celsius, so here the unit makes no difference. \Delta T is one symbol made of two characters, not a product.

Q = m c \Delta T

LaTeX code

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$$
Q = m c \Delta T
$$

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What the symbols mean

$Q$: heat (J)
$m$: mass (kg)
$c$: specific heat capacity (J/(kg·K))
$\Delta T$: change in temperature (K)

A thermodynamics formula - useful for gas processes, heat balances and physical chemistry.

Worked example

Half a litre of water heated from 20 °C to boiling: a difference of 80 °C equals 80 K. SI style groups long numbers in threes with a thin space, 167\,600, instead of a comma, which many languages use as the decimal marker.

Q = 0.5\,\mathrm{kg} \cdot 4190\,\mathrm{J/(kg\,K)} \cdot 80\,\mathrm{K} = 167\,600\,\mathrm{J} \approx 168\,\mathrm{kJ}

LaTeX commands in this formula

\Delta: capital Greek letter Delta

How to use this formula in LaTeX?

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The formula works without extra packages.

Related formulas - Thermodynamics

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