How To Find Final Temp

Unit of measurement Converter

Enter the mass of both objects or substances, the initial temperature of each substance, and the specific oestrus of each substance into the calculator to determine the last temperature of combining the two objects.

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Final Temperature Formula

The following formula is used to calculate the final temperature when combining 2 substances of different heats.

q1=q2

Where q1 and q2 are the estrus of both objects subsequently combination.

Q = m*c*ΔT

TF=(m1*c1*t1+m2*c2*T2)/(m1*c1+m2*c2)

Where TF is the final temperature

Final Temperature Example Problem

Let's take a look at a sample problem of how to calculate the final temperature of two combined objects.

For this case, nosotros are going to say we accept a hot steel ball that'south dropped into a cooler bounding main.

The initial temperature of the steel is 90C and the initial temperature of the water is 10C.
The specific rut of the steel is .466 J/gC and the specific heat of water is four.184 J/gC.
The mass of the steel is 10g and the mass of the water is 20g.

First, we need to set the equations:

q_water=q_steel

m_h2o*C_water*(T_last-T_h2o)=grand_steel*C_steel*(T_steel-T_final)

m1*c1*Tf-m1*c1*T1 = m2*c2*T2 – m2*c2*Tf

TF*(m1*c1+m2*c2) = m1*c1*t1+m2*c2*T2

TF=(m1*c1*t1+m2*c2*T2)/(m1*c1+m2*c2)

Adjacent, nosotros enter the values provided above:

20*four.184*( T_last – 10 ) = .466*x*( 90 – T_terminal )

83.68* T_final – 836.8 = 419.4 – 4.66 * T_final

Finally, nosotros re-arrange the equation in a higher place, and solve for the final temperature:

88.34* T_terminal = 1256.2

T_terminal = 14.22 C.

In this case, the temperature of the steel dropped significantly and the temperature of the water rose slightly. This is because there was more than mass of water than steel and because water has such high specific estrus.