Answer:
206.3cm³
Explanation:
Given parameters:
Initial temperature = 310K
Final volume = 360cm³
Final temperature = 541K
Unknown:
Initial volume = ?
Solution:
To solve this problem we apply the Charles's law which states that "the volume of a fixed mass of a gas varies directly as its absolute temperature if the pressure is constant".
Mathematically;
[tex]\frac{V_{1} }{T_{1} }[/tex] = [tex]\frac{V_{2} }{T_{2} }[/tex]
V and T are volume and temperature
1 and 2 are initial and final states
Insert the parameters and solve for V₁;
[tex]\frac{V_{1} }{310}[/tex] = [tex]\frac{360}{541}[/tex]
V₁ = 206.3cm³