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TS EAMCET · Chemistry · Thermodynamics (C)

A sample of argon of \(1 \mathrm{~atm}\) pressure and \(300 \mathrm{~K}\) expands reversibly and adiabatically from \(1.25 \mathrm{dm}^3\) to \(2.5 \mathrm{dm}^3\). Calculate the approximate enthalpy (in J) change (i) \(C_V\) for argon is \(12.48 \mathrm{JK}^{-1}\) (ii) Assume argon to be an ideal gas (iii) \(\Delta T=111.5 \mathrm{~K}\)

  1. A 20.9
  2. B 117
  3. C 234
  4. D 58.5
Verified Solution

Answer & Solution

Correct Answer

(B) 117

Step-by-step Solution

Detailed explanation

We know that, \(\Delta H=n C_p \Delta T\) Number of moles of argon \((n)=\frac{p V}{R T}\) Given, \(p=1 \mathrm{~atm}, \quad V=1.25 \mathrm{dm}^3, \quad T=300 \mathrm{~K}\) \(\therefore n=\frac{1 \times 1.25}{0.082 \times 300}=0.05 \mathrm{~mol}\) Also,…