1 Ideal Gas P1, T1, V P2. T2, V Two containers of equal volume V1 = V2 = V are connected by a small tube with a valve. Initially, the valve is closed and the two volumes contain monatomic gas at pressures P, and P2 and temperatures T1 and T2 respectively. The valve is opened. (a) What will be the final pressure a long time after the valve is opened? Neglect heat lost from the system, and express your result in terms of P1, P2, T1, and T2. (b) What will be the final temperature a long time after the valve is opened? Neglect heat lost from the system, and express your result in terms of P, P2, T1, and T2.

1 Ideal Gas P1, T1, V P2. T2, V Two containers of equal volume V1 = V2 = V are connected by a small tube with a valve. Initially, the valve is closed and the two volumes contain monatomic gas at pressures P, and P2 and temperatures T1 and T2 respectively. The valve is opened. (a) What will be the final pressure a long time after the valve is opened? Neglect heat lost from the system, and express your result in terms of P1, P2, T1, and T2. (b) What will be the final temperature a long time after the valve is opened? Neglect heat lost from the system, and express your result in terms of P, P2, T1, and T2.