Exercise 0.043 mol of a gas sample weighs 1.892 g. What is the density (in g/L of this gas at 0.0^circ C and 9.55 psi? (1.0atm=14.7psi)

Question

Answer 1

To find the density of the gas sample, we can use the ideal gas law equation:

where:-

is the pressure,-

is the volume,-

is the number of moles,-

is the ideal gas constant,-

is the temperature in Kelvin.First, we need to convert the given pressure from psi to atm:

Next, we convert the temperature from Celsius to Kelvin:

The ideal gas constant

in units of \( \text{L·atm/(mol·K)} \) is:

Now we can rearrange the ideal gas law to solve for the volume

:

Substitute the known values into the equation:

Calculate the volume:

Finally, we can calculate the density

of the gas using the formula:

Given the mass of the gas sample is 1.892 g and the volume is 1.51 L:

Therefore, the density of the gas at

and 9.55 psi is approximately

.

Soru