TS EAMCET · Chemistry · Thermodynamics (C)
At \(\mathrm{T}(\mathrm{K}) 2\) mole of an ideal gas is allowed to expand reversibly and isothermally from a pressure of 10 atmospheres to 1 atmosphere. The work done (in \(\mathrm{kJ}\) ) is \(\left(\mathrm{R}=8.3 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right.\) )
- A \(-3.82 \times 10^{-1} \times \mathrm{T}\)
- B \(-4.82 \times 10^{-1} \times \mathrm{T}\)
- C \(-2.82 \times 10^{-2} \times \mathrm{T}\)
- D \(-3.82 \times 10^{-2} \times \mathrm{T}\)
Answer & Solution
Correct Answer
(D) \(-3.82 \times 10^{-2} \times \mathrm{T}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{W}=-\mathrm{nRT} \ln \frac{\mathrm{P}_2}{\mathrm{P}_1}=-2.303 \mathrm{nRT} \log \frac{\mathrm{P}_2}{\mathrm{P}_1}\)…
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