Two monconducting containers having volume `V_(1)` and `V_(2)` contain monoatomic and dimatomic gases respectivley. They are connected as shown in figure. Pressure and temperature in the two containers are `P_(1), T_(1)` and `P_(2), T_(2)` respectively. Initially stop cock is closed, if the stop coc is opened find the final pressure and temperature.

Two adiabatic containers have volumes V_(1) and V_(2) respectively. The first container has monoatomic gas at pressure p_(1) and temperature T_(1) . The second container has another monoatomic gas at pressure p_(2) and temperature T_(2) . When the two containers are connected by a narrow tube, the final temperature and pressure of the gases in the containers are P and T respectively. Then

Two adiabatic containers have volumes V_(1) and V_(2) respectively. The first container has monoatomic gas at pressure p_(1) and temperature T_(1) . The second container has another monoatomic gas at pressure p_(2) and temperature T_(2) . When the two containers are connected by a narrow tube, the final temperature and pressure of the gases in the containers are P and T respectively. Then

The stop cock containing two bulbs of volume 5 litre and 10 litre containing an ideal gas-at 9 atm and 6 atm respectively is opened. What is the final pressure in atm if the temperature remains the same ?

The stop cock containing two bulbs of volume 5 litre and 10 litre containing an ideal gas-at 9 atm and 6 atm respectively is opened. What is the final pressure in atm if the temperature remains the same ?

The ratio of pressure of the same gas in two containers is (n_(1) T_(1))/(n_(2) T_(2)) where n_(1) & n_(2) are the number of moles and T_(1) & T_(2) are respective temperatures. If the containers are now joined find the ratio of final pressure to the temperature :

Two thermally insulated vessels are filled with an ideal gas. The pressure, volume and temperature in the two vessels are P_(1), V_(1), T_(1) and P_(2), V_(2), T_(2) respectively. Now, the two vessels are connected using a short insulating tube. (a) Find final temperature of the gas. (b) Express the final pressure of the gas in terms of P_(1), V_(1), P_(2) and V_(2) only.