COMEDK2024Morning ShiftPhysicsKinetic Theory of GasesActual
An electric bulb of volume 300 ~cm ^3 was sealed off during manufacture at a pressure of 1 ~mm of mercury at 27 ^ C . The number of air molecules contained in the bulb is, ( R =8.31 ~J ~mol ⁻¹ ~K ⁻¹ , N_A=6.02 10²³ , and 1 mm of Hg = 133.3 N/m ^2 )
Options
- A9.67 10¹⁷
- B9.65 10¹⁸
- C9.67 10¹⁶
- D9.65 10¹⁵
Correct answer
B. 9.65 10¹⁸
Step-by-step solution
V = 3 10⁻⁴ m ^3 , T = 300 K, P = 101325 760 133.32 Pa N = PV N_A RT = 133.32 3 10⁻⁴ 6.02 10²³ 8.31 300 N = 133.32 3 6.02 10¹⁹ 2493 = 2407.76 10¹⁹ 2493 9.65 10¹⁸