Show the calculation of the final temperature of the mixture when a 40.5 gram sample of water at 85.7 degrees celcius is added to 36.8 gram sample of water at 26.3 degree celcius in a coffee cup calorimeter

The value of final temperature of the mixture   = 57.42 °c

Explanation:

Mass of first sample =  40.5 gram

Mass of second sample =  36.8 gram

Temperature of first sample = 85.7 °c

Temperature of second sample = 26.3 °c

The energy balance equation for the mixture is written as

+ =  ---------- ( 1 )

Total mass = +

Put the values of &  in this equation we get,

⇒ = 40.5 + 36.8

⇒ =  77.3 gram -------- (2)

Put all the values of mass & temperature in equation 1 we get,

⇒ 40.5 × 85.7 + 36.8 × 26.3 = 77.3 ×

⇒ 4438.69 = 77.3 ×

⇒ = 57.42 °c

This is the value of final temperature of the mixture.