Here's how to determine the pressure exerted by the gas using the ideal gas law:

1. Convert Temperature to Kelvin

* The ideal gas law requires temperature in Kelvin.

* K = °C + 273.15

* K = 32.0 °C + 273.15 = 305.15 K

2. Ideal Gas Law

* The ideal gas law is: PV = nRT

* P = Pressure (in atmospheres, atm)

* V = Volume (in liters, L)

* n = Number of moles

* R = Ideal gas constant (0.0821 L⋅atm/mol⋅K)

* T = Temperature (in Kelvin, K)

3. Solve for Pressure (P)

* Rearrange the ideal gas law to solve for P:

* P = (nRT) / V

4. Plug in the Values

* P = (1.80 mol * 0.0821 L⋅atm/mol⋅K * 305.15 K) / 2.92 L

5. Calculate the Pressure

* P ≈ 15.3 atm

Therefore, the pressure exerted by the gas is approximately 15.3 atmospheres.