a sample of gas is warmed from 15.o degrees celsius to 45.o celcius at a constant pressure. its initial volume is 1.75 liters. what is the final volume of gas?
V1/T1 = V2/T2
To find the final volume of the gas, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature, assuming constant pressure and amount of gas.
The formula for Charles's Law is:
V1 / T1 = V2 / T2
Where:
V1 is the initial volume of the gas
T1 is the initial temperature in Kelvin
V2 is the final volume of the gas (what we want to find)
T2 is the final temperature in Kelvin
First, we need to convert the initial and final temperatures from Celsius to Kelvin. To convert Celsius to Kelvin, we add 273.15 to the Celsius temperature.
Initial temperature (T1) = 15.0 + 273.15 = 288.15 K
Final temperature (T2) = 45.0 + 273.15 = 318.15 K
Now we can plug in the values into the Charles's Law formula:
1.75 L / 288.15 K = V2 / 318.15 K
Now, we solve for V2 (final volume of the gas):
V2 = (1.75 L / 288.15 K) * 318.15 K
V2 ≈ 1.92 L
Therefore, the final volume of the gas, when warmed from 15.0 degrees Celsius to 45.0 degrees Celsius at a constant pressure, is approximately 1.92 liters.