Gas Laws Test

Result

Gas Laws Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

A gas occupies 600 cm³ at 900 mm Hg pressure. At what pressure will the gas occupy 450 cm³? (Assume that temperature remains constant.)

A
1200 cm Hg

B
120 cm Hg

C
120 mm Hg

D
12000 mm Hg

Solution

At a constant temperature:
P₁V₁ = P₂V₂ (Boyle's law)

600 × 900 = P₂ × 450
P₂ = 600 × 2

P₂ = 1200 mm Hg
1200 mm Hg = 120 cm Hg

∴ P₂ = 120 cm Hg
Question 2
1 / -0

Two cylinders containing carbon dioxide are connected together by a tube fitted with a tap. The capacity of one cylinder is 3 dm³ and that of the other cylinder is 2 dm³; the pressure of the first cylinder is 550 mm Hg and that of the second cylinder is 800 mm Hg. What will be the final pressure in the cylinders on opening the tap? (Temperature remains constant.)

A
330 mm Hg

B
320 mm Hg

C
650 mm Hg

D
450 mm Hg

Solution

New volume = 2 + 3 = 5 times
For the gas in the 1^st cylinder,

PV = P'V'
550 × 3 = P' × 5

P' = 330 mm Hg
For the gas in the 2^nd cylinder,

PV = P'V'
800 × 2 = P'5

P'= 320 mm Hg
∴ Final pressure in the two cylinders = 320 + 330 = 650 mm Hg