MHB Gay-Lussac's Law of combining volumes

[markosheehan]

50 cm^3 of nitrogen combine with 150 cm^3 of hydrogen gas to form 100 cm^3 of ammonia. Does this agree with gay lussacs law of combing volumes?. Explain your answer.

i feel the answer is yes but I can not give the reason why?

 

[I like Serena]

50 cm^3 of nitrogen combine with 150 cm^3 of hydrogen gas to form 100 cm^3 of ammonia. Does this agree with gay lussacs law of combing volumes?. Explain your answer.

i feel the answer is yes but I can not give the reason why?

The reaction is:
$$\ce{N2 + 3H2 \to 2NH3}$$

Gay-Lussac says that the ratio of molecules corresponds to the ratio of volumes of gasses.
That is:
$$1:3:2 = 50 \text{ cm}^3 : 150 \text{ cm}^3 : 100 \text{ cm}^3$$
Therefore the $100 \text{ cm}^3$ of ammonia does indeed agree with Gay-Lussac's law.

 

[markosheehan]

The reaction is:
$$\ce{N2 + 3H2 \to 2NH3}$$

Gay-Lussac says that the ratio of molecules corresponds to the ratio of volumes of gasses.
That is:
$$1:3:2 = 50 \text{ cm}^3 : 150 \text{ cm}^3 : 100 \text{ cm}^3$$
Therefore the $100 \text{ cm}^3$ of ammonia does indeed agree with Gay-Lussac's law.

thank you very much