Certainly! Let's determine which canister has the fastest-moving helium gas particles. The speed of gas particles is directly related to their temperature—the higher the temperature, the faster the particles move.
Here are the given temperatures for each canister in Kelvin:
- Canister [tex]\( W \)[/tex] has a temperature of 300 K.
- Canister [tex]\( X \)[/tex] has a temperature of 350 K.
- Canister [tex]\( Y \)[/tex] has a temperature of 250 K.
- Canister [tex]\( Z \)[/tex] has a temperature of 400 K.
To find which canister has the fastest moving particles, we need to compare these temperatures:
1. Temperature of [tex]\( W \)[/tex]: 300 K
2. Temperature of [tex]\( X \)[/tex]: 350 K
3. Temperature of [tex]\( Y \)[/tex]: 250 K
4. Temperature of [tex]\( Z \)[/tex]: 400 K
The hottest canister will have the fastest-moving particles. Let's identify that:
- 300 K (W) is less than 350 K (X), so [tex]\( X \)[/tex] has faster-moving particles than [tex]\( W \)[/tex].
- 350 K (X) is greater than 250 K (Y), so [tex]\( X \)[/tex] has faster-moving particles than [tex]\( Y \)[/tex].
- 350 K (X) is less than 400 K (Z), so [tex]\( Z \)[/tex] has faster-moving particles than [tex]\( X \)[/tex].
Therefore, the canister with the highest temperature is canister [tex]\( Z \)[/tex] at 400 K.
So, the canister with the fastest moving particles is:
[tex]\[ \boxed{Z} \][/tex]
