4.05 g of an unknown gas at 73 °C and 1.00 atm is stored in a 2.25-L flask.

What do you want to do with this gas?

To find the molar mass of the unknown gas, we can use the ideal gas law equation: PV = nRT.

Step 1: Convert the temperature from Celsius to Kelvin.
To convert from Celsius to Kelvin, we use the formula: K = °C + 273.15
Therefore, the temperature in Kelvin is: T = 73 °C + 273.15 = 346.15 K.

Step 2: Rearrange the ideal gas law equation to solve for n (the number of moles).
The ideal gas law equation can be rearranged as: n = PV / RT.

Step 3: Plug in the known values into the equation.
P = 1.00 atm
V = 2.25 L
R = 0.0821 L·atm/(mol·K) (universal gas constant)
T = 346.15 K

n = (1.00 atm) * (2.25 L) / (0.0821 L·atm/(mol·K) * 346.15 K)

Step 4: Calculate the number of moles.
n ≈ 0.0901 mol

Step 5: Calculate the molar mass.
To find the molar mass, we use the formula: molar mass = mass / moles.

Given that the mass of the gas is 4.05 g,
molar mass = 4.05 g / 0.0901 mol

Step 6: Calculate the molar mass of the unknown gas.
molar mass ≈ 45 g/mol

Therefore, the molar mass of the unknown gas is approximately 45 g/mol.

To answer the question, we need to calculate the molar mass of the unknown gas. The molar mass is the mass of one mole of a substance and is expressed in grams per mole (g/mol).

We are given the following information:
- Mass of the gas = 4.05 g
- Temperature = 73 °C
- Pressure = 1.00 atm
- Volume of the flask = 2.25 L

To calculate the molar mass, we can use the ideal gas law equation:

PV = nRT

Where:
- P is the pressure in atmospheres (atm)
- V is the volume in liters (L)
- n is the number of moles (unknown)
- R is the ideal gas constant (0.0821 L·atm/(mol·K))
- T is the temperature in kelvin (K)

First, we need to convert the temperature from Celsius to Kelvin. The Kelvin temperature (T) can be obtained by adding 273 to the Celsius temperature value:

T = 73 °C + 273 = 346 K

Next, rearrange the ideal gas law equation to solve for the number of moles (n):

n = PV / RT

Now, substitute the given values:

n = (1.00 atm) x (2.25 L) / (0.0821 L·atm/(mol·K)) x (346 K)

Calculate the value:

n = 0.0677 mol

Now that we know the number of moles (n), we can calculate the molar mass (M) using the mass (m) and the number of moles (n):

M = m / n

Substitute the given values:

M = 4.05 g / 0.0677 mol

Calculate the value:

M = 59.9 g/mol

Therefore, the molar mass of the unknown gas is approximately 59.9 g/mol.