Respuesta :
Answer:
The new pressure is 456.76 mmHg
Explanation:
Step 1: Data given
The initial volume of the gas = 5.80 L
The initial pressure of the gas = 1.00 atm
The volume of the gas increases to 9.65 L
The temperature is kept constant
Step 2: Calculate the new pressure
P1*V1 = P2¨V2
⇒with P1 = the initial pressure of the gas = 1.00 atm
⇒with V1 = the initial volume of the gas = 5.80 L
⇒with P2 = the new pressure = TO BE DETERMINED
⇒with V2 = the increased volume of the gas = 9.65 L
1.00 atm * 5.80 L = P2 * 9.65 L
P2 = (5.80 / 9.65)
P2 = 0.6010 atm
Step 3: Convert pressure from atm to mm Hg
0.6010 atm * 760 mmHg = 456.76 mmHg
The new pressure is 456.76 mmHg
Boyle's law is defined as the gas law, in which the pressure and volume of a gas have an inverse relationship. It determines how the pressure of a gas tends to decrease as the volume increases.
The new pressure of the gas is 456.76 mmHg.
Given that:
The initial volume of the gas = 5.80 L
The initial pressure of the gas = 1.00 atm
The volume of the gas increases = 9.65 L
From Boyle's law, the relation between pressure and volume at constant temperature can be explained as:
P₁V₁ = P₂V₂
where,
P₁ = initial pressure of the gas = 1.00 atm
V₁ = initial volume of the gas = 5.80 L
P₂ = ?
V₂ = increased volume of the gas = 9.65 L
Substituting the values, we get:
[tex]\begin{aligned}1 \times 5.80 &= \text P_2 \times 9.65\\\\\text P_2&= \dfrac{5.80}{9.65}\\\\\text P_2 &= 0.6010 \text{atm} \end{aligned}[/tex]
Now, converting atm into mmHg, we get:
1 atm = 760 mmHg
0.6010 atm = 456.76 mmHg.
Therefore, the new pressure is 456.76 mmHg.
To know more about Boyle's law, refer to the following link:
https://brainly.com/question/1437490
