An incandescent light bulb contains a volume V of argon at pressure Pi. The bulb is switched on and constant power "is transferred to the argon for a time interval "t.
(a) Show that the pressure Pf in the bulb at the end of this process is Pf = Pi [1 + (PΔtR) / (PiVCV)].
(b) Find the pressure in a spherical light bulb 10.0 cm in diameter 4.00 s after it is switched on, given that it has initial pressure 1.00 atm and that 3.60W of power is transferred to the gas.