A sample of gaseous arsine (AsH3) in a 460 mL flask at 332 Torr and 223 K, is heated to 437 K, at which temperature arsine decom- poses to solid arsenic and hydrogen gas. The flask is then cooled to 273 K, at which tem- perature the pressure in the flask is 488 Torr. What percentage of arsine molecules have de- composed?
Answer in units of %.

Respuesta :

We have that for the Question, it can be said that the percentage of arsine molecules have de- composed is

Percentage of arsine molecules=79.62%

From the question we are told

A sample of gaseous arsine (AsH3) in a 460 mL flask at 332 Torr and 223 K, is heated to 437 K, at which temperature arsine decom- poses to solid arsenic and hydrogen gas. The flask is then cooled to 273 K, at which temperature the pressure in the flask is 488 Torr. What percentage of arsine molecules have de- composed?

Answer in units of %

.

Generally the equation for the ideal gas   is mathematically given as

[tex]PV=nRT\\\\Therefore\\\\(\frac{296}{760})*(0.465)=n*0.0821*213\\\\n=0.010356\\\\[/tex]

Hence

[tex]\frac{511}{760}*0.6165=nf*0.0821*263\\\\nf=0.014479\\\\0.010356-2x+3x=0.014479\\\\X=0.004123moles\\\\[/tex]

Therefore

[tex]Percentage\ of\ arsine\ molecules=\frac{0.004123*2}{0.010356}*100[/tex]

Percentage of arsine molecules=79.62%

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