☰ Contents · Physics

Laboratory work and Chapter II review

Lessons 26–27 · 2 lessons · P. Habibullayev, A. Boydedayev, A. Bahromov, K. Suyarov, J. Usarov, M. Yuldasheva. Physics Grade 9, revised and expanded 3rd edition. G‘afur G‘ulom Publishing House, Tashkent, 2019
26

Laboratory work: comparing quantities of heat when water at different temperatures is mixed

Textbook: p. 73
GoalTest the heat balance experimentally when water at different temperatures is mixed: Q₁ ≈ Q₂.
New words
heat balance · issiqlik balansiheat given · berilgan issiqlikheat received · olingan issiqlikrelative loss · nisbiy yo‘qotish
Explanation

Aim: to check that the heat given up by the warmer water, Q₁ = c·m₁(t₁ – t), and received by the cooler water, Q₂ = c·m₂(t – t₂), are approximately equal. Equipment: two 1 l vessels, a thermometer, a measuring cylinder, warm and cold water. Procedure: 1) measure hot water of mass m₁ (1 ml of water ≈ 1 g) with the cylinder, pour it into the first vessel and measure t₁; 2) measure cold water of mass m₂, pour it into the second vessel and measure t₂; 3) pour the cold water onto the hot water, stir and measure t; 4) calculate Q₁ and Q₂; 5) change the masses and repeat three times; 6) record the results in a table. Safety: the hot water must not exceed 60 °C and only the teacher or a senior helper prepares and pours it; do not break the thermometer. The Celsius scale is enough for temperature differences because ΔT = Δt.

Worked examples
Sample: m₁ = 0.15 kg, t₁ = 55 °C; m₂ = 0.10 kg, t₂ = 20 °C; ideal mixture t = (150·55 + 100·20)/250 = 41 °C. Q₁ = 4200·0.15·14 = 8820 J, Q₂ = 4200·0.10·21 = 8820 J – equal.
In a real measurement t = 40 °C: Q₁ = 4200·0.15·15 = 9450 J, Q₂ = 4200·0.10·20 = 8400 J. The difference is 1050 J, i.e. (9450 – 8400)/9450 ≈ 11 % of the heat went to the vessel and the air.
Class activity

Groups enter their results into a shared table and find which group has the smallest difference between Q₁ and Q₂, then discuss why (fast stirring, vessel, air).

Practice
1
Write the formulas for Q₁ and Q₂ in this work.
2
0.15 kg of water cools from 55 °C to 41 °C. How many joules is Q₁? (c = 4200)
3
If Q₁ = 9450 J and Q₂ = 8400 J, about what percent of heat was lost?
4
Why can temperature differences be taken in Celsius without converting to the absolute scale?