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? 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.

Answer 1

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

Step-by-step 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