If 21.5 mol of an ideal gas is at 9.65 atm at 10.90 ∘C, what is the volume of the gas?

51.93 L

Explanation:

From the question we are given the following components of an ideal gas;

Number of moles = 21.5 mol

Pressure, P = 9.65 atm

Temperature, T = 10.90°C, but K = °C + 273.15

=284.05 k

We are required to calculate the volume of the ideal gas.

We are going to use the ideal gas equation which is given by;

PV = nRT, where P, V, T and n are the pressure, volume, temperature and moles of the ideal gas respectively. R is the ideal gas constant, 0.082057 L. atm/mol. K

To get the volume, we rearrange the formula to get;

V = nRT : P

= (21.5 * 0.082057 * 284.05 K) : 9.65 atm

= 51.93 L

Thus, the volume of the ideal gas is 51.93 L