ThermodynamicsHard

Question

An amount of 4 moles of an ideal monoatomic gas expands adiabatically and reversibly by which its temperature decreases from 47°C to 17°C. Which of the following is/are true?

Options

A.q = 0
B.ΔH = 0
C.ΔH = –600 cal
D.ΔU = – 600 cal

Solution

q = 0

$w = \Delta U = n.C_{V,m}.\left( T_{2} - T_{1} \right) = 4 \times \frac{3}{2}R \times (290 - 320) = - 320\text{ cal} $$$\Delta H = \gamma.\Delta U = \frac{5}{3} \times ( - 360) = - 600\text{ cal}$$

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