A cylinder with a movable piston contains a fixed amount of gas at a constant pressure. Initially, the cylinder contains 0.25 liters of air at 0 degrees Celsius. When the temperature is increased to 35 degrees Celsius, the air will occupy what volume?
a. 0.28 L

b. 0.88 L

c. 8.75 L

d. 35.25 L

Question

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Respuesta :

Mergus Mergus · Answer 1 · 2020-01-07T04:31:40+01:00

Answer:

a. 0.28 L

Explanation:

At constant pressure and number of moles, Using Charle's law

[tex]\frac {V_1}{T_1}=\frac {V_2}{T_2}[/tex]

Given ,

V₁ = 0.25 L

V₂ = ?

T₁ = 0 °C

T₂ = 35 °C

The conversion of T( °C) to T(K) is shown below:

T(K) = T( °C) + 273.15

So,

T₁ = (0 + 273.15) K = 273.15 K

T₂ = (35 + 273.15) K = 308.15 K

Using above equation as:

[tex]\frac{0.25}{273.15}=\frac{V_2}{308.15}[/tex]

[tex]V_2=\frac{0.25\cdot \:308.15}{273.15}[/tex]

New volume = 0.28 L