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Q1 (NDA-I/2022) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Thermal physics Answer Verified

What is the mass of a material, whose specific heat capacity is 400J/(kg°C) for a rise in temperature from 15 °C to 25 °C, when heat received is 20 kJ ?

Result
Your answer: —  ·  Correct: D
Explanation

To find the mass of the material, we use the specific heat formula Q = mcΔT. Given values are: heat received (Q) = 20 kJ = 20,000 J; specific heat capacity (c) = 400 J/(kgC); and temperature rise (ΔT) = 25 C - 15 C = 10 C. Rearranging the formula to solve for mass (m), we get m = Q / (c  ΔT). Substituting the values: m = 20,000 / (400  10). This simplifies to m = 20,000 / 4,000, which equals 5 kg. The calculation ensures consistent units where mass is in kilograms, energy in Joules, and temperature in degrees Celsius. Therefore, the mass of the material is 5 kg, matching option 4.

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