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? The pressure in A must be one-third the pressure in B. The pressure in A is three times the pressure in B. We can conclude nothing about the pressures. The pressures must be equal.

Question

Angelique

Physics

24 November, 16:07

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? The pressure in A must be one-third the pressure in B. The pressure in A is three times the pressure in B. We can conclude nothing about the pressures. The pressures must be equal.

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Answers (1)

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Ariella · Answer 1

The pressure in A must be one-third the pressure in B

Explanation:

We shall apply gas law formula to solve the problem

gas law formula is as follows

P V / T = n R, P, V and T are pressure, volume and temperature of n mole of a gas.

quantity of gas is same. That means n is same. R is universal constant so right hand side term is constant for gas in both the cylinders.

For gas in cylinder A and B, this equation can be written in the following form

Pa Va / Ta = Pb Vb / Tb

Given, Va = 3 Vb

Ta = Tb, temperature is same

Putting these values in the equation above,

Pa 3Vb / Tb = Pb Vb / Tb

3 Pa = Pb

Pa = 1/3 x Pb