JEE Mains · Physics · 14. Kinetic Theory of Gases
\(5\) moles of unknown gas is heated at constant volume from \(10 \, °C\) to \(20 \, °C\). The molar specific heat of this gas at constant pressure \(c_p = 8\) cal/mol.°C and \(R = 8.36\) J/mol.°C. The change in the internal energy of the gas is _______ calorie.
- A 100
- B 200
- C 300
- D 400
Answer & Solution
Correct Answer
(C) 300
Step-by-step Solution
Detailed explanation
Given \(n = 5\) moles, \(\Delta T = 20^{\circ}\text{C} - 10^{\circ}\text{C} = 10^{\circ}\text{C}\). The molar specific heat at constant pressure is \(c_p = 8 \text{ cal/mol}\cdot^{\circ}\text{C}\). The universal gas constant is \(R = 8.36 \text{ J/mol}\cdot^{\circ}\text{C}\).…
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