Answer to Question #327574 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 𝑇.

What is the temperature of 0.597 mol of an ideal gas with a volume of 8.22 L and a pressure of 1.678 atm?

Answer 1

𝑃𝑉=𝑛𝑅𝑇

T = PV/nR

P = 1.678 atm, V = 8.22 L, n = 0.597 mol, R = 0.0821 L*atm/mol*K

T = ( 1.678 atm * 8.22 L) / (0.597 mol * 0.0821 L*atm/mol*K) = 281.41 K