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A sample of krypton gas occupies 18.60 l at a pressure of 5.540 atm and 35.00 c.what volume would the krypton occupy at stop

1 Answer

3 votes

Answer:

91.33 L

Step-by-step explanation:

For an ideal gas, the product between the gas pressure and the gas volume is proportional to the absolute temperature of the gas. Mathematically:


pV\propto T

where:

p is the pressure of the gas

V is the volume of the gas

T is the absolute temperature of the gas

For a transformation of the gas, we can write:


(p_1 V_1)/(T_1)=(p_2 V_2)/(T_2)

For the sample of krypton in this problem, we have:


p_1 = 5.54 atm (initial pressure)


V_1 = 18.6 L (initial volume)


T_1=35.0^(\circ)+273=308 K (initial temperature)


p_2=1 atm (final pressure, at stp)


T_2=0^(\circ)+273=273 K (temperature at stp)

Therefore, the volume at stp is:


V_2=(p_1 V_1 T_2)/(T_1 p_2)=((5.54)(18.6)(273))/((308)(1))=91.33 L

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