How many moles of a gas are in a container with a volume of 155 milliliters at a temperature of 35 degree celcus and a pressure of 1.1 atmoshheres?
Please provide steps to get answer
PV=nRT, right? Temps in Kelvins.
I am still confused. If V=155 ml, T=308K, n=?, p= 1.1 atm. How do you get your R.
If pressure is in atm=0.0821atm/mol K if in mm Hg= 62.4 mm Hg/mol K
To calculate the number of moles of a gas in a given container, you can use the ideal gas law equation: PV = nRT.
Here's how you can solve the problem step by step:
1. Convert the volume of the container from milliliters to liters:
Volume = 155 milliliters = 0.155 liters
(since 1 liter = 1000 milliliters)
2. Convert the temperature from Celsius to Kelvin:
Temperature in Kelvin = 35 degrees Celsius + 273.15
(since Kelvin is an absolute temperature scale)
3. Write down the given values:
Volume (V) = 0.155 L
Pressure (P) = 1.1 atm
Temperature (T) = 35 + 273.15 K
4. Use the ideal gas law equation PV = nRT and rearrange it to solve for the number of moles (n):
n = PV / RT
5. Plug in the values into the equation:
n = (1.1 atm) * (0.155 L) / [(0.0821 L*atm/mol*K) * (35 + 273.15 K)]
(where R is the ideal gas constant with a value of 0.0821 L*atm/mol*K)
6. Calculate the number of moles:
n = 0.01712 moles (rounded to five decimal places)
Therefore, there are approximately 0.01712 moles of gas in the container with a volume of 155 milliliters at a temperature of 35 degrees Celsius and a pressure of 1.1 atmospheres.