Question

Use the ideal gas law to solve for the moles of gas that occupies 25.61 L at 5.13 atm and 27 °C.

a. 2.46 moles
b. 1.23 moles
c. 3.23 moles
d. 5.32 moles

Answer 1

b. 1.23 moles To calculate the moles of gas using the ideal gas law, the given values are substituted into the equation, and the temperature is converted to Kelvin.

Step-by-step explanation:

To solve for the moles of gas using the ideal gas law, which is expressed as PV=nRT, we need to make sure to use the appropriate units for the gas constant R. The value of R in liters・atm/(mol・K) is 0.0821. First, we must convert the temperature from Celsius to Kelvin by adding 273.15, which gives us 300.15 K. Next, we'll plug in the given values into the ideal gas law.

PV = nRT


(5.13 atm) × (25.61 L) = n × (0.0821 L・atm/(mol・K)) × (300.15 K)

Now, solving for n (moles) we get:

n = (5.13 atm × 25.61 L) / (0.0821 L・atm/(mol・K) × 300.15 K)

After calculating, we find that n, the number of moles, is approximately 1.23 moles. Therefore, the correct answer is (b) 1.23 moles.