Given a balloon you have at home, to determine the barometric pressure in your area. Record the pressure below. Your balloon contains 22 grams of Carbon dioxide. Use the following link to determine the temperature in your area. and then use the following to convert to Kelvin. Record below. Given the Gas Constant R please use the ideal gas law to calculate the volume in liters of the balloon. Show all work for partial credit.

i found out the pressure is 1008hPa
temp 52

Convert P to kPa

Convert 52 C to K.
n = 22/44 - ?
R = 8.314
V = nRT/P = ?

Is this right

V=.5*8.314*284/101.9=11.58

Where did the 101.9 come from?

T = 52 what? F or C?

To calculate the volume of the balloon using the ideal gas law, we need to convert the given pressure and temperature values to the appropriate units and gather the necessary information.

1. Convert the pressure from hectopascals (hPa) to Pascals (Pa):
Since 1 hPa = 100 Pa, the pressure of 1008 hPa would be converted to 1008 * 100 = 100800 Pa.

2. Now, we need to convert the temperature from Celsius to Kelvin:
To convert from Celsius to Kelvin, we need to add 273.15 to the Celsius value. In this case, the temperature is 52°C, so adding 273.15 gives us 325.15K.

3. Next, we need to find the value of the gas constant (R). The ideal gas constant, R, is equal to 8.314 J/(mol⋅K).

4. The molecular weight of carbon dioxide (CO2) is 44 g/mol.

Now, we can use the ideal gas law formula to calculate the volume:

PV = nRT,

Where:
P = pressure in Pascals (Pa)
V = volume in liters (L)
n = number of moles (mol)
R = ideal gas constant (8.314 J/(mol⋅K))
T = temperature in Kelvin (K)

Substituting the values:

V = (nRT) / P

Given:
Pressure (P) = 100800 Pa
Temperature (T) = 325.15 K
Number of moles (n) = mass of CO2 / molecular weight of CO2

5. Calculate the number of moles of CO2:
The mass of CO2 is given as 22 grams. We can use the molecular weight of CO2 (44 g/mol) to find the number of moles:

n = mass of CO2 (g) / molecular weight of CO2 (g/mol)
n = 22 g / 44 g/mol
n = 0.5 mol

Now we have all the values needed to calculate the volume:

V = (nRT) / P
V = (0.5 mol * 8.314 J/(mol⋅K) * 325.15 K) / 100800 Pa

Calculating this expression will give you the volume in liters.