Question

The temperature of a 10.0 L sample of nitrogen in a sealed container is increased from 22°C to 202°C, while its pressure is increased from 1.00 atm to 3.00 atm. What is the new volume (in liters) of the nitrogen sample?

Answer 1

Answer:

The new volume is 5.37 L

Explanation:

Step 1: Data given

Initial volume = 10.0 L

Initial temperature = 22.0 °C

Initial pressure = 1.00 atm

Final temperature = 202 °C

Final pressure = 3.00 atm

Step 2: Calculate final volume

(P1*V1)/T1  = (P2*V2)/T2

⇒ with P1 = The initial pressure = 1.00 atm

⇒ with V1 = The initial volume = 10.0 L

⇒ with T1 = The initial temperature = 22 °C = 295 Kelvin

⇒ with  P2 = The final pressure = 3.00 atm

⇒ with V2 = The final volume = TO BE DETERMINED

⇒ with T2 = The final temperature = 202 °C = 475 Kelvin

(1.00 * 10.0) / 295 = (3.00 * V2) / 475

10 / 295 = 3V2/ 475

3V2 = 4750/295

V2 = 5.37 L

The new volume is 5.37 L