Gas molecules move in random motion inside the container. The pre… - Vidyadip

Question

Gas molecules move in random motion inside the container. The pressure exerted by the gas is due to the continuous collision of the molecules against the walls of the container. Due to this continuous collision, the walls experience a continuous force which is equal to the total momentum imparted to the walls per second.

1. If the mass of each molecule is halved and speed is doubled, find the ratio of initial and final pressure:
(a) $1: 16$ (b) $1: 4$ (c) $1: 8$ (d) $1: 2$
2. The pressure exerted by the gases is:
(a) inversely proportional to the density
(b) inversely proportional to the square of the density
(c) directly proportional to the density
(d) directly proportional to the square of the density
3. If the force of attraction between the molecules suddenly disappears, then what will be the change in pressure:
(a) pressure increase
(b) pressure decrease
(c) pressure remains constant
(d) pressure falls
4. If the pressure of a given gas is halved at a certain temperature. what will be its volume:
(a) becomes triple (b) becomes double (c) remains constant (d) becomes half
OR
Dimension formula for R ?
(a) $M ^1 L^2 T^2 K^{-1}$ (b) $M ^1 L^1 T^{-1}$
(c) $M ^{-1} L^0 T^1$ (d) $M ^1 L^2 T^{-2} K^{-1}$

✓

Answer

1. (d) $1: 2$
Explanation: 1:2
2. (c) directly proportional to the density
Explanation: directly proportional to the density
3. (a) pressure increase
Explanation: pressure increase
4. (b) becomes double
Explanation: becomes double
OR
(d) $M ^1 L^2 T^{-2} K^{-1}$
Explanation: $M ^1 L^2 T^{-2} K^{-1}$

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