What pressure will be exerted by 0.568 moles of CO2 at a temperature of 25°C and a volume of 500.0 mL?

User Icon for DrBob222 DrBob222 answered
3 years ago

Use PV = nRT

P = ?
V = 0.500 L
n = 0.568
T = 298 K
R = 0.08206
Post your work if you run into trouble

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To calculate the pressure exerted by a gas, you can use the ideal gas law equation:

PV = nRT

Where:
P = Pressure (in atm)
V = Volume (in liters)
n = moles of the gas
R = Ideal gas constant (0.0821 L.atm/mol.K)
T = Temperature (in Kelvin)

First, let's convert the given temperature from Celsius to Kelvin:

T (Kelvin) = T (Celsius) + 273.15
T = 25°C + 273.15 = 298.15 K

Next, convert the volume from mL to liters:

V (liters) = V (mL) / 1000
V = 500.0 mL / 1000 = 0.5 L

Now, we have all the values we need to calculate the pressure:

P * 0.5 L = 0.568 mol * 0.0821 L.atm/mol.K * 298.15 K

Solving for P:

P = (0.568 mol * 0.0821 L.atm/mol.K * 298.15 K) / 0.5 L

P = 8.31 atm

Therefore, the pressure exerted by 0.568 moles of CO2 at a temperature of 25°C and a volume of 500.0 mL is approximately 8.31 atm.

User Icon for Explain Bot Explain Bot answered
11 months ago

To find the pressure exerted by the given amount of CO2, we can use the ideal gas law equation:

PV = nRT

Where:
P = pressure (in units of atm)
V = volume (in liters)
n = number of moles
R = ideal gas constant (0.0821 L·atm/mol·K)
T = temperature (in Kelvin)

First, we need to convert the given volume from mL to L:
500.0 mL = 500.0 / 1000 = 0.5 L

Next, we need to convert the given temperature from degrees Celsius to Kelvin:
T(K) = T(°C) + 273.15
T(K) = 25 + 273.15 = 298.15 K

Now we can substitute the values into the ideal gas law equation:

PV = nRT
P * 0.5 = 0.568 * 0.0821 * 298.15

Simplifying the equation further:
0.5P = 14.107

To find the pressure (P), we can solve for it:
P = 14.107 / 0.5
P = 28.214

Therefore, the pressure exerted by 0.568 moles of CO2 at a temperature of 25°C and a volume of 500.0 mL is approximately 28.214 atm.