How To Find Final Temperature

When liquids and/or solids with different temperatures are mixed together - the final mixed temperature can be calculated every bit

t_f = (1000₁ c_p1 t₁ + m₂ c_p2 t_ii + .... + g_n c_pn t_n) / (thousand_one c_p1 + m_two c_p2 + .... + thou_northward c_pn) (1)

where

t_f = terminal mixed temperature (^oC)

m = mass of substance (kg)

c_p = specific rut of substance (J/kg^oC)

t = temperature of substance (^oC)

Instance - a heated stone in a saucepan of h2o

A granite stone of 1 kg (specific estrus 790 J/kg.^oC) is heated to 100 ^oC and added to a bucket of 10 kg water (specific oestrus 4186 J/kg^oC) at twenty ^oC. The final temperature of the water - stone "mix" tin be calculated as

t_f = ((1 kg) (790 J/kg^oC) (100 ^oC) + (10 kg) (4186 J/kg^oC) (twenty ^oC)) / ( (1 kg) (790 J/kg^oC) + (10 kg) (4186 J/kg^oC) )

= 21.5 ^oC

Mixed Temperature Estimator

The calculator below is based on eq. 1 and can be used to calculate the final - strike - temperature when two liquids or solids - or a liquid and a solid - is mixed together.

yard ₁ - mass (kg)

c_p1 -specific rut of substance (J/kg^oC)

t _one - temperature (^oC)

m ₂ - mass (kg)

c_p2 -specific rut of substance (J/kg^oC)

t ₂ - temperature (^oC)

Mixing Liquids and/or Solids - Final Temperatures Spreadsheet Calculation

The Google Docs spreadsheet below tin exist used to calculate final temperature when mixing fluids or solids. You lot can copy or download the spreadsheet to make your own re-create.

Mixing fluids and/or solids - final temperature