A value of 22.0m of nitrogen gas at 20°c is heated under constant pressure to 167°c What is the new nitrogen gas

I'd say it is still nitrogen gas.

You really need to do a better job of writing your post. 22.0 m what. Is that cubic meter volume, or something else. What is the new nitrogen gas what? pressure? volume? temperature. I agree with Steve. In all likely hood it still is nitrogen gas. If that is volume, then

(V1/T1) = (V2/T2) and don't forget to use T in kelvin.

To find the new volume of nitrogen gas, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature when pressure remains constant.

Here are the steps to find the new volume of nitrogen gas:

Step 1: Convert the given temperatures from Celsius to Kelvin.
- Initial temperature (T1) = 20°C + 273.15 = 293.15 K
- Final temperature (T2) = 167°C + 273.15 = 440.15 K

Step 2: Apply Charles's Law equation: V1 / T1 = V2 / T2
- V1 = 22.0 m (initial volume of nitrogen gas)
- T1 = 293.15 K (initial temperature of nitrogen gas)
- T2 = 440.15 K (final temperature of nitrogen gas)
- V2 = ? (new volume of nitrogen gas)

Step 3: Rearrange the equation to solve for V2:
V2 = (V1 * T2) / T1

Plugging in the values:
V2 = (22.0 m * 440.15 K) / 293.15 K

Step 4: Calculate the new volume:
V2 ≈ 33.08 m

Therefore, the new volume of nitrogen gas is approximately 33.08 m³.