Question

when 6.0 mol of oxygen are confined in a 36L vessel at 196°c, the pressure is 8atm. what is the new pressure for oxygen expands at constant temperature to fill 48L

Answer 1

Answer: The new pressure for oxygen gas is 6 atm.

Explanation:

To calculate the new pressure of the gas, we use the equation given by Boyle's Law.

This law states that the pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.

Mathematically,

$P\propto \frac{1}{V}$

or,

$P_1V_1=P_2V_2$

where,

$P_1\text{ and }V_1$ are the initial pressure and volume of the gas.

$P_2\text{ and }V_2$ are the final pressure and volume of the gas.

We are given:

$P_1=8atm\\V_1=36L\\P_2=?atm\\V_2=48L$

Putting values in above equation, we get:

$8atm\times 36L=P_2\times 48L\\\\P_2=6atm$

Hence, the new pressure for oxygen gas is 6 atm.