Question

QUESTION 18

A container with a volume of 3.76 L holds 0.574 moles of nitrogen gas at 2.88 atm. What is the temperature of the gas in °C?

Answer 1

-43.3 °C

Step-by-step explanation:

To find the temperature, you need to use the Ideal Gas Law equation. The equation looks like this:

PV = nRT

In this formula,

-----> P = pressure (atm)

-----> V = volume (L)

-----> n = moles

-----> R = Ideal Gas Law constant (0.08206 atm*L/mol*K)

-----> T = temperature (K)

By plugging the given values into the equation and simplifying, you can find the temperature. After you get a temperature, you need to convert it into Celsius.

P = 2.88 atm R = 0.08206 atm*L/mol*K

V = 3.76 L T = ? K

n = 0.574 moles

PV = nRT

(2.88 atm)(3.76 L) = (0.574 moles)(0.08206 atm*L/mol*K)T

10.8288 = (0.04710244)T

230. K = T

Kelvin - 273.15 = Celsius

230 K - 273.15 = -43.3 °C