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Calorimetry Lab

Mix hot and cold substances and watch their temperatures converge over time. Adjust masses, specific heats, and heat loss to explore how calorimeters work and verify conservation of energy through heat exchange.

Guided Experiment: Heat Exchange Between Water Samples

If you mix 100 g of water at 80°C with 100 g of water at 20°C in a coffee cup calorimeter, what will the equilibrium temperature be? What if one sample has twice the mass?

Write your hypothesis in the Lab Report panel, then click Next.

Controls

Hot Sample100 g
Cold Sample100 g
T hot80 °C
T cold20 °C
4.184
4.184
Heat Loss Rate(0 = ideal)0.000 s⁻¹
Time0 s

Results

Teq=50.000CT_{eq} = 50.000 ^{\circ}\text{C}
Hot at t=0s
80.000 °C
+0.000 °C
Cold at t=0s
20.000 °C
+0.000 °C
q hot (J)
0.0
q cold (J)
0.0
|q_h + q_c|
0.0 J
Mode: Coffee Cup (open, heat loss possible)

Temperature vs Time

Hot sample (cooling)Cold sample (warming)Equilibrium T_eq

Data Table

(0 rows)
#TrialTime(s)T hot(°C)T cold(°C)T equilibrium(°C)q(J)
0 / 500
0 / 500
0 / 500

Reference Guide

Heat Transfer Equation

The heat absorbed or released by a substance depends on its mass, specific heat, and temperature change.

q=mcΔTq = mc\Delta T

Where q is heat in joules, m is mass in grams, c is specific heat in J/(g·°C), and deltaT is the temperature change. A positive q means heat absorbed; negative means heat released.

qhot+qcold=0q_{\text{hot}} + q_{\text{cold}} = 0

Conservation of energy: heat released by the hot sample equals heat absorbed by the cold sample in an ideal calorimeter.

Calorimeter Types

Coffee cup calorimeter — a simple insulated cup open to the atmosphere. Used for reactions in solution. Heat loss to surroundings can affect measurements.

Bomb calorimeter — a sealed, rigid steel container submerged in water. Used for combustion reactions. Constant volume, minimal heat loss, more accurate.

The key difference is heat loss rate: bomb calorimeters are much better insulated, so the observed equilibrium temperature is closer to the theoretical value.

Specific Heat

Specific heat c is the energy needed to raise 1 gram of a substance by 1°C. Water has one of the highest specific heats of any common material.

Teq=m1c1T1+m2c2T2m1c1+m2c2T_{eq} = \frac{m_1 c_1 T_1 + m_2 c_2 T_2}{m_1 c_1 + m_2 c_2}

Materials with high specific heat resist temperature change. This is why water is used as a coolant and why coastal regions have milder climates than inland areas.

Material c (J/g·°C)
Water4.184
Aluminum0.897
Copper0.385
Iron0.449
Lead0.128

Conservation of Energy

Temperature approaches equilibrium exponentially, following Newton's law of cooling.

T(t)=Teq+(T0Teq)ektT(t) = T_{eq} + (T_0 - T_{eq})\,e^{-kt}

Where k is the rate constant that depends on thermal contact and heat capacities. Larger total heat capacity means slower equilibration (smaller k). Heat loss to the environment adds a further decay term, lowering the observed final temperature below the ideal T_eq.

You can determine the specific heat of an unknown substance by measuring the observed T_eq and rearranging the heat balance equation.