COMEDK · Physics · 14. Kinetic Theory of Gases
An ideal gas has molar specific heat \(\dfrac{5R}{2}\) at constant pressure. If 1662 J of heat brings about 50 K temperature change, the number of moles of gas is
- A \(0.6\)
- B \(2.6\)
- C \(2\)
- D \(1.6\)
Answer & Solution
Correct Answer
(D) \(1.6\)
Step-by-step Solution
Detailed explanation
Given the molar specific heat at constant pressure, \(C_p = \dfrac{5R}{2}\) The heat supplied at constant pressure is given by: \(Q = n C_p \Delta T\) Substituting the given values (\(Q = 1662\) J, \(\Delta T = 50\) K, and \(R = 8.31\) J mol\(^{-1}\) K\(^{-1}\)):…
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