To determine the volume of a gas at a different temperature, we can use the ideal gas law, which states:
PV = nRT
Where: P is the pressure of the gas V is the volume of the gas n is the number of moles of gas R is the ideal gas constant T is the temperature of the gas in Kelvin
To convert from Celsius to Kelvin, we add 273.15 to the Celsius temperature.
Assuming the pressure remains constant, we can rewrite the ideal gas law equation as:
V1/T1 = V2/T2
Where: V1 is the initial volume of the gas T1 is the initial temperature of the gas in Kelvin V2 is the final volume of the gas (what we're trying to find) T2 is the final temperature of the gas in Kelvin
Let's calculate the final volume (V2) at 25°C (298.15 K) using the given initial volume (V1 = 90 cc) at standard temperature (273.15 K):
V1/T1 = V2/T2
(90 cc) / (273.15 K) = V2 / (298.15 K)
(90 cc) / (273.15 K) * (298.15 K) = V2
V2 ≈ 98.45 cc
Therefore, at 25°C, the gas would have a volume of approximately 98.45 cc.