Question

A sample of neon gas is kept at a temperature of 300 K. The volume of the container is 2.5 L and the gas has a pressure of 1.56 atm. How many moles of neon gas are in the sample

Answer 1

To calculate the number of moles of neon gas in a container at a given temperature and pressure, the ideal gas law is used. After rearranging the equation to solve for the number of moles (n), and substituting the given values, the calculation yields approximately 0.157 moles of neon in a 2.5 L container at 300 K and 1.56 atm.

Step-by-step explanation:

The number of moles of neon gas in a 2.5 L container at 300 K and a pressure of 1.56 atm can be calculated using the ideal gas law, which is PV = nRT.

Here, P is the pressure in atm, V is the volume in liters, n is the number of moles, R is the ideal gas constant (0.0821 L*atm/mol*K), and T is the temperature in Kelvin.

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

n = PV / RT

Substitute the given values into the equation:

n = (1.56 atm * 2.5 L) / (0.0821 L*atm/mol*K * 300 K)

Perform the calculations to find the number of moles of neon:

n ≈ 0.157 mol

Therefore, the container holds approximately 0.157 moles of neon gas.