JEE Mains · Chemistry · STD 11 - 5. Thermodynamics and thermochemistry
An ideal gas undergoes isothermal compression from \(5\, m^3\) to \(1\, m^3\) against a constant external pressure of \(4\, Nm^{-2}\). Heat released in this process is used to increase the temperature of \(1\, mole\) of \(Al\). If molar heat capacity of \(Al\) is \(24\, J\, mol^{-1}\,K^{-1}\), the temperature of \(Al\) is increases by
- A \(\frac{3}{2}K\)
- B \(2\, K\)
- C \(\frac{2}{3}K\)
- D \(1\, K\)
Answer & Solution
Correct Answer
(C) \(\frac{2}{3}K\)
Step-by-step Solution
Detailed explanation
\(q = P\Delta V\) \(q = 16\) \({C_P} = 24\) \({C_P} = \frac{{qP}}{{\Delta T}}\) \(\Delta T = \frac{{16}}{{24}}\,K = \frac{2}{3}\,K\)
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