The pressure inside a hydrogen-filled container was 2.10 at 21 . What would the pressure be if the container was heated to 98 ?
no units
To determine the pressure inside a hydrogen-filled container when it is heated, we can use the ideal gas law equation:
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 in Kelvin
First, we need to convert the given temperatures from Celsius to Kelvin:
Temperature in Kelvin (T1) = 21 + 273.15
Temperature in Kelvin (T2) = 98 + 273.15
Next, to find the initial pressure (P1), we are given the pressure at 21 . Thus, P1 = 2.10 .
Now, to calculate the final pressure (P2), we need to set up the equation as follows:
P1/T1 = P2/T2
Substituting the known values, we get:
2.10/294.15 = P2/371.15
Simplifying the equation, we find:
(2.10 * 371.15) / 294.15 = P2
Solving this equation, we find:
P2 ≈ 2.66
Therefore, the pressure inside the hydrogen-filled container would be approximately 2.66 when heated to 98 .