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COMEDK · Chemistry · 6. Thermodynamics (C)

The temperature of one mole of an ideal gas increases from \(298 \mathrm{~K}\) to \(308 \mathrm{~K}\), when it absorbs \(200 \mathrm{~J}\) of heat at constant volume. The change in the internal energy of the gas is

  1. A \(200 \mathrm{~J}\)
  2. B \(140 \mathrm{~J}\)
  3. C \(-200 \mathrm{~J}\)
  4. D \(-140 \mathrm{~J}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(200 \mathrm{~J}\)

Step-by-step Solution

Detailed explanation

According to first law of thermodynamics \(\Delta Q+\Delta W=\Delta U\) \(\Delta W=0\), then \(\Delta Q=\Delta U \quad\{\because\) Volume is constant \(\}\) \(\Delta Q=200 \mathrm{~J}\) \(\Delta U=200 \mathrm{~J}\)
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