A 48.3-mL sample of gas in a cylinder equipped with a piston is warmed from 22 °C to 87 °C. What is its volume at the final temperature?
Initial Volume of gas (Vi) = 48.3 mL
Initial temperature (Ti) = 22 °C = 22 + 273 = 295 K
Final Temperature (Tf) = 87 °C = 87 + 273 = 360 K
Final volume(Vf) = ?
Charles’s law states that ‘At a fixed pressure, the volume of a gas is directly proportional to the kelvin temperature of the gas.’
Mathematically it can be represented as :
V T Or = k
V = volume of the gas,
T = temperature of the gas (measured in kelvins),
k = constant.
With pressure , it can be represented as :
First, Let’s convert volume in mL to L :
1 L = 1000 mL
Hence, 48.3 mL in L is :
= 48.3 mL
= 0.0483 L.
Here, the pressure are assumed to be constant .
= 0.058 L
Hence final volume is 58 mL or 0.058L