Respuesta :
Answer:
The final pressure will be 0.67 atm.
Explanation:
Using Boyle's law
[tex] {P_1}\times {V_1}={P_2}\times {V_2}[/tex]
Given ,
V₁ = 10 L
V₂ = 15 L
P₁ = 1.0 atm
P₂ = ?
Using above equation as:
[tex]{P_1}\times {V_1}={P_2}\times {V_2}[/tex]
[tex]{1.0}\times {10}={P_2}\times {15} atm[/tex]
[tex]{P_2}=\frac{{1.0}\times {10}}{15} atm[/tex]
[tex]{P_2}=0.67\ atm[/tex]
The final pressure will be 0.67 atm.
Answer:
A sample of a gas (5.0 mol) at 1.0 atm is expanded at constant temperature from 10 L to 15 L. The final pressure is 0.67 atm.
Explanation:
Boyle's law states that in constant temperature the variation volume of gas is inversely proportional to the applied pressure.
The formula is,
[tex]\rm \bold{ P_1\times V_1= P_2\times V_2}[/tex]
Where,
[tex]\rm \bold P_1[/tex] is initial pressure = 1 atm
[tex]\rm \bold P_2[/tex] is final pressure = ? (Not Known)
[tex]\rm \bold V_1[/tex] is initial volume = 10 L
[tex]\rm \bold V_2[/tex] is final volume = 15 L
Now put the values in the formula,
[tex]\rm 1\times 10 = P_2\times 15\\\\\rm P_2 = \frac{10}{15\\} \\\\\rm P_2 = 0.67[/tex]
Therefore, the answer is 0.67 atm.
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