The heat capacity at constant volume of a sample of an ideal monoatomic gas is 35 J/K. Following are given three statements. State in order from (i) to (iii) whether they are true (T) or false (F). Ta

Question

The heat capacity at constant volume of a sample of an ideal monoatomic gas is 35 J/K. Following are given three statements. State in order from (i) to (iii) whether they are true (T) or false (F). Taking $R = \frac{25}{3}$ J/mole-K

(i) Number of moles of the gas are 1.5

(ii) Internal energy of the gas at $0^{\circ}$ C is approx $35 \times 273$ J

(iii) Molar heat capacity at constant pressure is approx $125/6$ J/mol-K

TestHub · Accepted Answer

(i) n = ( 3/2 ) R 35 ​ = 3 × 25/3 35 × 2 ​ = 5 14 ​ = 2.8  = 1.5 : False. Number of moles of the gas are 1.5 U = n C V ​ T = 35 × 273 J : True. C P ​ = C V ​ + R = 2 25 ​ + 3 25 ​ = 6 125 ​ J / mol − K : True.

Physics - Heat & Thermo Question with Solution | TestHub

Options:

Doubts & Discussion