Question

Two cylinders A and B at the same temperature contain the same quantity of the same kind of gas. Cylinder A has three times the volume of cylinder B. What can you conclude about the pressures the gases exert? Show all workings. [15 marks] a. b. c. d. The density of gas in A and B are the same. The pressure in A is three times the pressure in B. The pressures in A and B must be equal. The pressure in A must be one-third the pressure in B.

Answer 1

Answer:

so pressure in A must be one third the pressure in B

Explanation:

We shall apply gas law to the cylinders A and B . Since their quantity are same so their no of  mole will also be same .

For cylinder A

Temperature T , volume 3V , pressure  P₁ , no of mole = n

so

P₁ X 3V = n R T

For cylinder B

Temperature T , volume V , pressure  P₂ ,no of  mole = n

so

P₂ X V = n R T

From the two equation above

P₁ X 3V = P₂ X V

$\frac{P_1}{P_2}=\frac{1}{3}$

P₁ = P₂ / 3

so pressure in A must be one third the pressure in B