States of Matter · Question 1

Which amongst the following options is correct graphical representation of Boyle's law?

1. [figure]
2. [figure]
3. [figure]
4. [figure]

Which one is not correct mathematical equation for Dalton's Law of partial pressure? Here p = total pressure of gaseous mixture where pi = partial pressure of ith gas i = mole fraction of ith gas in gaseous mixture pi = pressure of ith gas in pure state

1. p = p1 + p2 + p3
2. p = n1 RTV + n2 RTV + n3 RTV
3. pi = i p
4. pi = i pi

A 10.0 L flask contains 64 g of oxygen at 27 C. (Assume O2 gas is behaving ideally). The pressure inside the flask in bar is (Given R = 0.0831 L bar K-1 mol-1)

1. 2.5
2. 498.6
3. 49.8
4. 4.9

A vessel contains 3.2 g of dioxygen gas at STP (273.15 K and 1 atm pressure). The gas is now transferred to another vessel at constant temperature, where pressure becomes one third of the original pressure. The volume of new vessel in L is : (Given : molar volume at STP is 22.4 L)

1. 67.2
2. 6.72
3. 2.24
4. 22.4

Four gas cylinders containing He, N2, CO2 and NH3 gases separately are gradually cooled from a temperature of 500 K. Which gas will liquefy first? (Given Tc in K – He : 5.3, N2 : 126, CO2 : 304.1 and NH3 : 405.5)

1. NH3
2. He
3. N2
4. CO2

Choose the correct option for graphical representation of Boyle's law, which shows a graph of pressure vs. volume of a gas at different temperatures :

1. [figure]
2. [figure]
3. [figure]
4. [figure]

Choose the correct option for the total pressure (in atm.) in a mixture of 4 g O2 and 2 g H2 confined in a total volume of one litre at 0 C is : [Given R = 0.082 L atm mol-1 K-1, T = 273 K]

1. 26.02
2. 2.518
3. 2.602
4. 25.18

A mixture of N2 and Ar gases in a cylinder contains 7 g of N2 and 8 g of Ar. If the total pressure of the mixture of the gases in the cylinder is 27 bar, the partial pressure of N2 is : [Use atomic masses (in g mol-1) : N = 14, Ar = 40]

1. 12 bar
2. 15 bar
3. 18 bar
4. 9 bar

A gas at 350 K and 15 bar has molar volume 20 percent smaller than that for an ideal gas under the same conditions. The correct option about the gas and its compressibility factor (Z) is -

1. Z < 1 and attractive forces are dominant
2. Z < 1 and repulsive forces are dominant
3. Z > 1 and attractive forces are dominant
4. Z > 1 and repulsive forces are dominant

Given van der Waals’ constant for NH3, H2, O2 and CO2 are respectively 4.17, 0.244, 1.36 and 3.59, which one of the following gases is most easily liquefied?

1. NH3
2. H2
3. O2
4. CO2