Respuesta :
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,
[tex]P\propto \frac{1}{V}[/tex]
or,
[tex]P_1V_1=P_2V_2[/tex]
where,
[tex]P_1\text{ and }V_1[/tex] are the initial pressure and volume of the gas.
[tex]P_2\text{ and }V_2[/tex] are the final pressure and volume of the gas.
We are given:
[tex]P_1=8atm\\V_1=36L\\P_2=?atm\\V_2=48L[/tex]
Putting values in above equation, we get:
[tex]8atm\times 36L=P_2\times 48L\\\\P_2=6atm[/tex]
Hence, the new pressure for oxygen gas is 6 atm.
The new pressure for the oxygen gas at constant temperature is 6 atm.
Boyle's law
The pressure of a given mass of a gas is inversely proportional to the volume of the gas, provided the temperature is constant.
P₁V₁ = P₂V₂
where;
- P₁ is the initial pressure
- V₁ is the initial pressure
- P₂ is the final pressure
- V₂ is the final volume
P₂ = (P₁V₁)/V₂
P₂ = (8 x 36)/(48)
P₂ = 6 atm
Thus, the new pressure for the oxygen gas at constant temperature is 6 atm.
Learn more about Boyle's law here: https://brainly.com/question/469270