At two different temperature `T_(1) and T_(2), (T_(2) gt T_(1))`, draw two PV-P graphs for a definite amount of an ideal gas.

The I-V characteristics of a metal wire at two different temperatures ( T_(1) and T_(2) ) are given in the adjoining figure. Here, we can conclude that

Pressure (P) vs. density (D) curve for an ideal gas at two different temperatures T_1 and T_2 is shown below . Identify the correct statement about T_1 and T_2 .

Explain why two bodies at different temperature T_(1) and T_(2) if brought in thermal contact do not necessarily settle to the mean temperature T_(1)+T_(2)//2 .

(i) Plotting V vs T for a given mass of an ideal gas at two different fixed pressures P_(1) and P_(2) gives two straight lines, one of which corresponds to P_(1) and the other corresponds to P_(2) . If P_(1) is greater than P_(2) , then which one of thes straight lines will make a larger angle with the T-axis? (ii) Plotting P vs T for a given mass of an ideal gas at two different fixed volumes V_(1) and V_(2) gives two straight lines, one of which corresponds to V_(1) and the other corresponds to V_(2) . if V_(1) is greater than V_(2) , then which one of these straight lines will make a larger angle with the T-axis?

For a given exothermic reaction, K_P and K_p^' are the equilibrium constants at temperature T_1 and T_2( T_2>T_1) respectively. Assuming the heat of reaction is constant in temperature range between T_1 and T_2 , it is readily observed that

The temperature of a fixed mass of an ideal gas is changed from T_(1)K to T_(2)K(T_(2) > T_(1)) . Calculate the work done if the change is brought about at (i) constant pressure (ii) constant volume. Hence find from the first law of thermodynamics, in which case heat absorbed will be greater.

The pressure p, volume V and temperature T for a certain gas are related by p = (AT - BT^(2))/V , where A and B are constants. The work done by the gas when the temperature changes from T_(1) to T_(2) while the pressure remains constant, is given by

The rate constant and half-life of a first order reaction at temperature T_(1) " are " k_(1)"min"^(-1) and x_(1) min , respectively and those at temperature T_(2) " are "k_(2) "min"^(-1) and x_(2) min , respectively. If T_(2)gtT_(1) , which is greater , x_(1) " or, " x_(2) ?

A gas can be liquefied at temperature T and pressure P if-