Question

If you have an unknown quantity of gas at a pressure of 1.2 atm, a volume of 34 L, and a temperature of 83°C, how many moles of gas do you have?

A) 0.56 moles
B) 1.67 moles
C) 1.85 moles
D) 2.92 moles

Answer 1

To find the number of moles of gas, use the Ideal Gas Law (PV = nRT) with the given conditions and solve for 'n'. After converting the temperature from Celsius to Kelvin, calculating n gives the number of moles of the gas.

Step-by-step explanation:

To determine the number of moles of gas present in the given conditions (a pressure of 1.2 atm, a volume of 34 L, and a temperature of 83°C), we can use the Ideal Gas Law, which is PV = nRT. Before proceeding, we need to convert the temperature from Celsius to Kelvin by adding 273.15, resulting in a temperature of 356.15 K.

Using the Ideal Gas Law:

• Pressure (P) = 1.2 atm
• Volume (V) = 34 L
• Temperature (T) = 356.15 K
• Gas Constant (R) = 0.0821 L atm K⁻¹ mol⁻¹

We can rearrange the Ideal Gas Law to solve for the number of moles (n):

n = PV / RT

n = (1.2 atm)(34 L) / (0.0821 L atm K⁻¹ mol⁻¹)(356.15 K)

This calculation gives us the number of moles of gas, which we can compare with the multiple-choice options provided.