Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoCalorimetryEasy2 minPYQ_2024

PhysicsEasyinteger

The specific heat capacity of a substance is temperature dependent and is given by the formula $C = k T$ , where $k$ is a constant of suitable dimensions in SI units, and $T$ is the absolute temperature. If the heat required to raise the temperature of $1 kg$ of the substance from $- 7 3^{\circ} C$ to $2 7^{\circ} C$ is $nk$ , the value of $n$ is _____ [Given: $0 K = - 27 3^{\circ} C$ .]

Answer:

25000

Solution:

$T_{i} = - 7 3^{\circ} C = 200 K T_{f} = 2 7^{\circ} C = 300 K$ $Q = \int msdT = \int 1 \cdot kTdT = \int kTdT = K \int_{200}^{300} TdT = \frac{K}{2} [T^{2}]_{200}^{300} = \frac{K}{2} [30 0^{2} - 20 0^{2}] Q = 25000 K$ Hence $n = 25000$

Stream:JEE_ADVSubject:PhysicsTopic:Heat & ThermoSubtopic:Calorimetry

⏱ 2mℹ️ Source: PYQ_2024

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