Respuesta :
The pressure exerted by 0.703 mol [tex]{{\text{O}}_2}[/tex] in a 11.0 L container at 314 K is [tex]\boxed{{\text{1}}{\text{.647 atm}}}[/tex].
Further explanation:
An ideal gas contains a large number of randomly moving particles that are supposed to have perfectly elastic collisions among themselves. It is just a theoretical concept, and practically no such gas exists. But gases tend to behave almost ideally at a higher temperature and lower pressure.
Ideal gas law is considered as the equation of state for any hypothetical gas. The expression for the ideal gas equation of gas is as follows:
[tex]{\text{PV}} = {\text{nRT}}[/tex] ...... (1)
Here,
P is the pressure of the gas.
V is the volume of gas.
n denotes the number of moles of gas.
R is the gas constant.
T is the temperature of gas.
Rearrange the equation (1) to calculate P.
[tex]{\text{P}}=\dfrac{{{\text{nRT}}}}{{\text{V}}}[/tex] ...... (2)
Given,
Volume of gas (V) is 11L.
Temperature of gas(T) is 314K.
Numbers of moles(n) are 0.703mol.
Universal gas constant R is [tex]0.0821{\text{ atm}}\cdot{\text{L/mol}}\cdot{\text{K}}[/tex] .
Substitute the values of V, T, R, n in equation (2) to calculate the pressure.
[tex]\begin{aligned}{\text{P}}&=\dfrac{{\left( {{\text{0}}{\text{.703 mol}}} \right)\times\left( {0.0821{\text{ atm}} \cdot {\text{L/mol}}\cdot {\text{K}}}\right)\times\left( {{\text{314 K}}}\right)}}{{{\text{11 L}}}}\\&= {\text{1}}{\text{.647 atm}}\\\end{aligned}[/tex]
The pressure exerted by [tex]{{\mathbf{O}}_{\mathbf{2}}}[/tex] gas is 1.647 atm.
Learn more:
1. What is the concentration of hydroxide ion of an unknown acid.
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Answer details:
Grade: Senior school
Subject: Chemistry
Chapter: Ideal gas equation
Keywords: ideal gas, universal gas constant, pressure, volume, temperature, number of moles, 1.647 atm, 11 L, 0.703mol and 314K.
The pressure of the gas in atmospheres is 1.6 atm.
Using the ideal gas equation;
PV = nRT
Where;
P = pressure
V = volume
n = number of moles
R = gas constant
T = temperature
From the values given in the question;
P = ?
n = 0.703 mol
V = 11.0 L
T = 314 K
R = 0.082 atm LK-1Mol-1
Substituting values and making P the subject of the formula;
P = nRT/V
P = 0.703 mol × 0.082 atm LK-1Mol-1 × 314 K/11.0 L
P = 1.6 atm
Learn more: https://brainly.com/question/18956703
