Question

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Answer 1

Answer: The equations in column A is matched with gas laws in column B as follows:

21. PV = nRT : (g) Ideal gas law

22.
`V_(1)n_(2) = V_(2)n_(1)` : (f) Avogadro's law

23.
`P_(1)V_(1)T_(2) = P_(2)V_(2)T_(1)` : (e) Combined Gas Law

24.
`P_(1)T_(2) = P_(2)T_(1)` : (d) Gay-Lusaac's law

25.
`V_(1)T_(2) = V_(2)T_(1)` : (c) Charles' law

26.
`P_(1)V_(1) = P_(2)V_(2)` : (b) Boyle's law

27.
`(v_(1))/(v_(2)) = \frac{\sqrt{MM_(1)}}{MM_(2)} = \frac{\sqrt{p_(1)}}{p_(2)}` : (a) Graham's Law of effusion

Step-by-step explanation:

(A) Ideal gas law: It states that the product of pressure and volume is directly proportional to the product of number of moles and temperature.

So, PV = nRT

where,

P = pressure

V = volume

n = no. of moles

R = gas constant

T = temperature

• Boyle's law: At constant temperature, the pressure of a gas is inversely proportional to volume.

So,
`P_(1)V_(1) = P_(2)V_(2)`

• Charles' law: At constant pressure, the volume of a gas is directly proportional to temperature. So,

`V \propto T\\(V_(1))/(T_(1)) = (V_(2))/(T_(2))\\V_(1)T_(2) = V_(2)T_(1)`

• Gay-Lussac's law: At constant volume, the pressure of a gas is directly proportional to temperature.

So,
`P_(1)T_(2) = P_(2)T_(1)`

• Avogadro's law: At same temperature and pressure, the volume of gas is directly proportional to moles of gas.

So,
`V_(1)n_(2) = V_(2)n_(1)`

• Combined gas law: When Boyle's law, Charles' law, and Gay-lussac's law are combined together then it is called combined gas law. So,

`(P_(1)V_(1))/(T_(1)) = (P_(2)V_(2))/(T_(2))\\or, P_(1)V_(1)T_(2) = P_(2)V_(2)T_(1)`

• Graham's law of effusion: It states that the rate of effusion of a gas is inversely proportional to the square root of mass of its particles.

`(v_(1))/(v_(2)) = \frac{\sqrt{MM_(1)}}{MM_(2)} = \frac{\sqrt{p_(1)}}{p_(2)}`

Thus, we can conclude that equation in column A is matched with gas laws in column B as follows:

21. PV = nRT : (g) Ideal gas law

22.
`V_(1)n_(2) = V_(2)n_(1)` : (f) Avogadro's law

23.
`P_(1)V_(1)T_(2) = P_(2)V_(2)T_(1)` : (e) Combined Gas Law

24.
`P_(1)T_(2) = P_(2)T_(1)` : (d) Gay-Lusaac's law

25.
`V_(1)T_(2) = V_(2)T_(1)` : (c) Charles' law

26.
`P_(1)V_(1) = P_(2)V_(2)` : (b) Boyle's law

27.
`(v_(1))/(v_(2)) = \frac{\sqrt{MM_(1)}}{MM_(2)} = \frac{\sqrt{p_(1)}}{p_(2)}` : (a) Graham's Law of effusion