I need help on how to set up a formula for 27c and 750 mm hg,a sample of hydrogen occupies 5.00 l how much space will it occupy at stp
To calculate the volume of a gas at STP (Standard Temperature and Pressure), you can utilize the ideal gas law formula. The ideal gas law states that PV = nRT, where:
P = Pressure (in atm)
V = Volume (in liters)
n = Number of moles
R = Ideal gas constant (0.0821 L.atm/mol.K)
T = Temperature (in Kelvin)
At STP, the temperature is 273.15 K and the pressure is 1 atm.
Now let's solve the problem step by step:
1. Convert the temperature to Kelvin:
STP temperature = 273.15 K
2. Convert the pressure to atm:
750 mm Hg × (1 atm / 760 mm Hg) = 0.987 atm (rounded)
3. Determine the number of moles:
To determine the number of moles, we need to use the formula PV = nRT. Rearrange the formula to solve for n:
n = (PV) / (RT)
Substitute the values:
n = (0.987 atm × 5.00 L) / (0.0821 L.atm/mol.K × 273.15 K)
Calculate the value of 'n':
n ≈ 0.227 moles (rounded)
4. Calculate the new volume at STP:
Now that we have the number of moles, we can use the formula V = (nRT) / P to find the new volume.
Substitute the values:
V = (0.227 moles × 0.0821 L.atm/mol.K × 273.15 K) / 1 atm
Calculate the value of 'V':
V ≈ 5.93 L (rounded)
Therefore, the hydrogen gas sample that initially occupies 5.00 L will occupy approximately 5.93 L at STP.