Equal molecules of two gases are in thermal equilibrium. If `P_(a), P_(b) and V_(a),V_(b)` are their respective pressures and volumes, then which of the following relation is true?

Two gases are at thermal equilibrium If P_(a),P_(b) are pressure of gases, V_(a),V_(b) are respective volume and n_(a),n_(b) respective moles at thermal equilibrium then .

A gas in container A is in thermal equilibrium with another gas in container B, both contain equal masses of the two gases in the respective containers. Which of the follow- ing can be true (1) P_(A)=P_(B),V_(A)neP_(B)V_(B) (2) P_(A)V_(B)=P_(B)V_(B) (3) P_(A)neP_(B),V_(A)=V_(B) (4) P_(A)/(V_(A))=P_(B)/V_(B)

For an ideal gas with initial pressure and volume p_(i) and V_(i) respectively, a reversible isothermal expansion happens, when its volume becomes V_(0) . Then it is compressed to its original volume V_(i) by a reversible adiabatic process. If the final pressure is p_(f) , then which of the following statement is true?

Find the dimensions of a and b in the formula [P + (a)/(V^(2))[V-b]] = RT where P is pressure and V is the volume of the gas.

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.

(P+(a)/(v^(2)))(v-b) = Constant. In the given equation P is pressure and v is volume. What is the unit of a?