Question

The work done during reversible isothermal expansion of one mole of hydrogen gas at \(25^\circ C\) from pressure of 20 atmosphere to 10 atmosphere is 

(Given R = 2.0 cal \(K^{-1}\) \(mol^{-1}\)) 

(1) 0 calorie 

(2) -413.14 calories 

(3) 413.14 calories 

(4) 100 calories

Answer 1

Correct option is (2) -413.14 calories 

\(W _ {rev,\,iso} = -2.303 \,nRT \,log\, \frac {P_i}{P_f}\)

\(= -2.303 \times 1 \times 2 \times 298 \times log 2 \)

\(= -2.303 \times 1 \times 2 \times 298 \times 0.3 \)

= - 413.14 calories