Thermal Properties of Matter
Telangana Open School (TOSS) · Class 12 · Physics
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What is the rate of heat conduction through a copper slab of thickness 0.02 m and area 0.5 m², if one face is at 100°C and the other at 30°C? (K for copper = 400 Wm⁻¹K⁻¹)
Answer
Given: K = 400 Wm⁻¹K⁻¹, A = 0.5 m², d = 0.02 m, ΔT = 100 – 30 = 70°C, t = 1 s Using formula: Q = KA(ΔT)t / d Step 1: Q = (400)(0.5)(70)(1) / 0.02 Step 2: Q = 14000 / 0.02 = 700,000 J Answer: 700,000 J…
How much heat is transferred in 10 minutes through a glass window of area 2 m² and thickness 0.5 cm when the inside temperature is 25°C and outside is 5°C? (K_glass = 0.8 Wm⁻¹K⁻¹)
Answer
Given: K = 0.8, A = 2 m², d = 0.005 m, ΔT = 20°C, t = 10×60 = 600 s Formula: Q = KA(ΔT)t / d Step 1: Q = (0.8)(2)(20)(600) / 0.005 Step 2: Q = 19200 / 0.005 = 3,840,000 J Answer: 3.84 × 10⁶ J…
A thermocol box has wall thickness 4 cm and surface area 0.8 m². If the temperature difference is 40°C, how much heat enters the box in 1 hour? (K = 0.01 Wm⁻¹K⁻¹)
Answer
Given: K = 0.01, A = 0.8 m², d = 0.04 m, ΔT = 40°C, t = 3600 s Q = KA(ΔT)t / d Step 1: Q = (0.01)(0.8)(40)(3600) / 0.04 Step 2: Q = 11520 / 0.04 = 288,000 J Answer: 288 kJ…
An aluminum rod of cross-section 0.03 m² and length 0.6 m conducts 5000 J of heat in 1 minute. Find the temperature difference across the rod. (K_Al = 240 Wm⁻¹K⁻¹)
Answer
Given: Q = 5000 J, t = 60 s, K = 240, A = 0.03 m², d = 0.6 m From Q = KA(ΔT)t / d → ΔT = Qd / (KAt) Step 1: ΔT = (5000)(0.6) / (240 × 0.03 × 60) Step 2: ΔT = 3000 / 432 = 6.94 K Answer: 6.94°C…
A slab of concrete (K = 1.2 Wm⁻¹K⁻¹) has area 3 m² and thickness 10 cm. If it loses 5.4 × 10⁵ J of heat in 2 hours, find the temperature difference between its faces.
Answer
Given: Q = 5.4×10⁵ J, t = 7200 s, K = 1.2, A = 3 m², d = 0.1 m ΔT = Qd / (KAt) Step 1: ΔT = (5.4×10⁵)(0.1) / (1.2 × 3 × 7200) Step 2: ΔT = 54000 / 25920 = 2.08 K Answer: 2.08°C…
Why does a metal spoon feel colder than a wooden spoon at room temperature?
Answer
Metal is a good conductor of heat (high thermal conductivity), so it quickly draws heat from your hand, making it feel cold. Wood is a poor conductor (insulator), so it doesn't draw heat as fast, feel…
Explain why cooking pots are made of copper or aluminum.
Answer
Copper and aluminum have high thermal conductivity (400 and 240 Wm⁻¹K⁻¹ respectively), allowing heat to spread quickly and evenly across the pot. This ensures uniform cooking and faster heating.
Why do we wear woolen clothes in winter?
Answer
Wool traps air between its fibers. Air is a poor conductor of heat (low K), so it reduces heat loss from the body. This insulation keeps us warm in cold weather.
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