Determine the pressure inside a televison picture tube with a volume of 3.5L that contains 2.00 x 10-5g of nitrogen gas at 22.0C?
Use PV = nRT
Don't forget to change T to Kelvin.
I need more help then this please, Ive Been out of school for 8 days due to being really sick, and my sister brought bac some work and i have no clue how to do these. Please help me Please.
You have posted this exact question under various names and I've typed answers for three of them. One is OK but two of them is a waste of my time. I went through another of this type problem in detail; you should be able to pick out the proper procedure from that one.
To determine the pressure inside the television picture tube, we can use the ideal gas law, which states that the pressure of a gas is directly proportional to the temperature, the amount of gas, and inversely proportional to its volume. The ideal gas law equation is:
PV = nRT
Where:
P = pressure
V = volume
n = number of moles of gas
R = ideal gas constant
T = temperature in Kelvin
First, we need to convert the given volume from liters to cubic meters, as the SI unit for volume is cubic meters. Since 1 L = 0.001 m^3, we have:
V = (3.5 L) x (0.001 m^3 / 1 L) = 0.0035 m^3
Next, we need to convert the given temperature from degrees Celsius to Kelvin. The Kelvin temperature scale is obtained by adding 273.15 to the Celsius temperature. So:
T = 22.0°C + 273.15 = 295.15 K
Now, we need to determine the number of moles of nitrogen gas. We can use the molar mass of nitrogen to calculate this value. The molar mass of nitrogen (N₂) is approximately 28.02 g/mol.
Using the given mass of nitrogen gas (2.00 x 10^(-5) g), we can calculate the number of moles using the formula:
n = m / M
where:
n = number of moles
m = mass of the gas
M = molar mass of the gas
n = (2.00 x 10^(-5) g) / (28.02 g/mol)
Finally, we can substitute the known values into the ideal gas law equation:
PV = nRT
P * 0.0035 m^3 = [(2.00 x 10^(-5) g) / (28.02 g/mol)] * (8.314 J/(mol·K)) * 295.15 K
Now, solve for P by rearranging the equation:
P = [(2.00 x 10^(-5) g) / (28.02 g/mol)] * (8.314 J/(mol·K)) * 295.15 K / 0.0035 m^3
Calculate the right side of the equation and you'll get the pressure in pascals (Pa).