Question

There are two vessels filled with an ideal gas where volume of one is double the volume of other. The large vessel contains the gas at 8 kPa at 1000 K while the smaller vessel contains the gas at 7 kPa at 500 K. If the vessels are connected to each other by a thin tube allowing the gas to flow and the temperature of both vessels is maintained at 600 K, at steady state the pressure in the vessels will be (in kPa).

(1) 4.4

(2) 6

(3) 24

(4) 18

Answer 1

Correct option is : (2) 6

\(\frac{PV}{T} = \frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}\)

\(\frac{P.3V}{600} = \frac{8 \times 2V}{1000} + \frac{7 \times V}{500}\)

P = 6 kPa