Answer to Question #327567 in General Chemistry for Ivan Ackerman

Question

The ideal gas law relates the amount of gas present to its pressure, volume, and temperature. The ideal gas law is typically written as

𝑃𝑉=𝑛𝑅𝑇

 

where 𝑃 is the pressure, 𝑉 is the volume, 𝑛 is the number of moles of gas, 𝑅 is the ideal gas constant, and 𝑇 is the temperature.

Rearrange the equation to solve for 𝑃.

What is the pressure of 0.293 moles of an ideal gas at a temperature of 298.0 K and a volume of 4.62 L? 

Answer 1

Solution:

The ideal gas equation can be used:

PV = nRT

Rearrange the equation to solve for P:

P = nRT / V

Plug in the numbers:

P = (0.293 mol × 0.0821 atm L mol⁻¹ K⁻¹ × 298.0 K) / (4.62 L) = 1.55 atm

P = 1.55 atm

Answer: The pressure of gas is 1.55 atm