Match the following: 12. Column-I (a) Ideal gas law (b) Avogadro gas law (c) Boyle's temperature (d) 22.7 L at STP Column-II (p) V ∝ n (q) PV = nRT (r) Molar volume of ideal gas (s) Gas follows ideal gas equation 13. Column-I (a) Ideal gas isotherm (b) Ideal gas Temp is increased by (c) Real gases deviate from ideal gases (d) 2 Mol of ideal gas at 540 K is 44.8 L, its P is Column-II (p) Plot of V at const T (q) Increasing P and M and V constant (r) because of attraction of molecules (s) 2 atm
Answer (1)
To solve the matching question, we need to understand the concepts in the context of gas laws:
Column-I and Column-II Match:
(a) Ideal gas law matches with (q) PV = nRT
The ideal gas law is an equation of state for an ideal gas comprising pressure P , volume V , number of moles n , ideal gas constant R , and temperature T . It is written as P V = n RT .
(b) Avogadro gas law matches with (p) V ∝ n
Avogadro's law states that at constant temperature and pressure, the volume V of a gas is directly proportional to the number of moles of the gas n . Hence, V ∝ n .
(c) Boyle's temperature matches with (s) Gas follows ideal gas equation
Boyle’s temperature pertains to the condition under which a real gas behaves as an ideal gas under compression (follows the ideal gas equation).
(d) 22.7 L at STP matches with (r) Molar volume of ideal gas
At standard temperature and pressure (STP), the molar volume of an ideal gas is 22.7 liters per mole.
Column-I and Column-II Match:
(a) Ideal gas isotherm matches with (p) Plot of V at const T
An isotherm is a plot that represents the state of gas at constant temperature, typically plotting volume V versus pressure P .
(b) Ideal gas Temp is increased by matches with (q) Increasing P and M and V constant
Increasing the temperature of a gas typically involves increasing pressure P , while mass M and volume V can be held constant in closed systems.
(c) Real gases deviate from ideal gases matches with (r) because of attraction of molecules
Real gases deviate from ideal behavior largely due to intermolecular forces (attractions between molecules), not present in an ideal gas model.
(d) 2 Mol of ideal gas at 540 K is 44.8 L, its P is matches with (s) 2 atm
Using the ideal gas law P V = n RT , with values n = 2 , T = 540 K , and volume V = 44.8 L , we find pressure P is approximately 2 atm under these conditions using appropriate calculations and assumptions about R (approximately 0.0821 L atm K⁻¹mol⁻¹).
