Temperature of a gas is t K. What would be the temperature at which volume and pressure, both will reduced to half of the initial values?

• $\frac{t}{2}$

• $\frac{t}{4}$

• $\frac{t}{3}$

• $\frac{t}{8}$

At 27°C, one mole of an ideal gas is compressed isothermally and reversibly from a pressure of 2 atm to 10 atm. Choose the correct option from the following

• Change in internal energy is positive

• Heat is negative

• Work done is - 965.84 cal

• All are incorrect

If a gas expands at constant temperature indicates that

• kinetic energy of molecules decreases

• pressure of the gas increases

• kinetic energy of molecules remains as same

• number of the molecules of gas increase

In Fischer-Ringe's method of separation of nobles gas mixture from air, ......... is used

• 90% CaC₂ + 10% CaCl₂

• coconut charcol

• soda lime + potash solution

• 90% CaCO₃ + 10% urea

0.40 g of helium in a bulb at a temperature of T K had a pressure of p atm. When the bulb was immersed in water bath at temperature 50 K more than the first one, 0.08 g of gas had to be removed to restore the original pressure. T is

• 500 K

• 400 K

• 600 K

• 200 K

Given that the reduced temperature, $\mathrm{\theta } = \frac{\mathrm{T}}{{\mathrm{T}}_{\mathrm{C}}}$; the reduced pressure, $\mathrm{\pi } = \frac{\mathrm{F}}{{\mathrm{F}}_{\mathrm{C}}}$ and the reduced volume, $\mathrm{\varphi } = \frac{\mathrm{V}}{{\mathrm{V}}_{\mathrm{C}}}$ 

Thus, it can be said that the reduced equation of state may be given as

• $\left(\frac{\mathrm{\pi }}{3} + \frac{1}{\mathrm{\phi }}\right) \left(3\mathrm{\varphi } - 1\right) = \frac{8}{3} \mathrm{\theta }$

• $\left(\frac{\mathrm{\pi }}{4} + \frac{1}{\mathrm{\phi }}\right)\left(3\mathrm{\theta } - 1\right) = \frac{3}{8} \mathrm{\phi }$

• $\left(\frac{\mathrm{\pi }}{3} + \frac{1}{\mathrm{\phi }}\right)\left(\mathrm{\varphi } - 1\right) = \frac{3}{8} \mathrm{\theta }$

• $\left(\frac{\mathrm{\pi }}{3} + \frac{1}{{\mathrm{\phi }}^2}\right)\left(3\mathrm{\varphi } - 1\right) = \frac{8}{3} \mathrm{\theta }$

The rate of a gaseous reaction is given by the expression k[A] [B]. If the volume of the reaction vessel is suddenly reduced to $\frac{1}{4}$ the initial volume, the reaction rate relating to original rate will be

• $\frac{1}{10}$

• $\frac{1}{8}$

• 8

• 16

56 g of nitrogen and 96 g of oxygen are mixed isothermally and at a total pressure of 10 atrn. The partial pressures of oxygen and nitrogen (in atm) are respectively

• 4, 6

• 5, 5

• 2, 8

• 6, 4

The density of a gas is found to be 1.56 g/L at 745 mm pressure and 65°C. What is the moleculer mass of the gas?

• 44.2 u

• 4.42 u

• 2.24 u

• 22.4 u

A gas mixture contains O₂ and N₂ in the ratio of 1 : 4 by weight. The ratio of their number of molecules is

• 1 : 8

• 1 : 4

• 3 : 16

• 7 : 32