a sample of methan gas, CH4, occupies 4.50L at a temp of 20.0 degrees celsius. if the pressure is held constant, what will be the volume of gas at a 100 degrees celsius

(V1/T1) = (V2/T2)

T must be in kelvin.

To find the volume of gas at a different temperature while the pressure is held constant, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature (in Kelvin) when pressure is constant.

First, we need to convert the initial temperature and final temperature to Kelvin. The Kelvin scale is obtained by adding 273.15 to the temperature in degrees Celsius.

Initial temperature = 20.0 degrees Celsius + 273.15 = 293.15 K
Final temperature = 100 degrees Celsius + 273.15 = 373.15 K

Next, we can set up the equation using the formula:

V1 / T1 = V2 / T2

Where:
V1 = Initial volume of gas
T1 = Initial temperature (in Kelvin)
V2 = Final volume of gas (what we need to find)
T2 = Final temperature (in Kelvin)

Substituting the given values:
4.50 L / 293.15 K = V2 / 373.15 K

To solve for V2, we can cross-multiply and divide:

(4.50 L) * (373.15 K) = (V2) * (293.15 K)
1,676.175 = 293.15(V2)
V2 = 1,676.175 / 293.15
V2 ≈ 5.72 L

Therefore, the volume of the gas at 100 degrees Celsius will be approximately 5.72 liters when the pressure is held constant.